• Title/Summary/Keyword: $Theta^*$

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NUMERICAL SIMULATION OF NATURAL CONVECTION IN A CUBICAL-CAVITY BY UNSTRUCTURED CELL-CENTERED METHOD (비정렬 셀 중심 방법에 의한 3차원 캐비티내의 자연대류 현상에 관한 수치해석)

  • Myong H. K.;Kim J. E.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.10a
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    • pp.61-66
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    • 2005
  • Natural convection flows in a cubical, air-filled cavity that has one pair of opposing faces isothermal at different temperatures, Th and Tc, the remaining faces having a linear variation from Tc to Th are numerically simulated by a new solution code(PowerCFD) using unstructured cell-centered method. Solutions are obtained for configurations with a Rayleigh number as high as 105 and three inclination angles ${\theta}$ of the isothermal faces from horizontal: namely ${\theta}=0$, 45 and $90^{\circ}$. Interesting features are presented in detail and comparisons are made with benchmark solutions and experimental results found in the literature. It is found that the code is capable of producing accurately the nature of the laminar convection in a cubical, air-filled cavity with differentially heated walls.

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COMPUTATIONS OF SPACES OF PARAMODULAR FORMS OF GENERAL LEVEL

  • Breeding, Jeffery II;Poor, Cris;Yuen, David S.
    • Journal of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.645-689
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    • 2016
  • This article gives upper bounds on the number of Fourier-Jacobi coefficients that determine a paramodular cusp form in degree two. The level N of the paramodular group is completely general throughout. Additionally, spaces of Jacobi cusp forms are spanned by using the theory of theta blocks due to Gritsenko, Skoruppa and Zagier. We combine these two techniques to rigorously compute spaces of paramodular cusp forms and to verify the Paramodular Conjecture of Brumer and Kramer in many cases of low level. The proofs rely on a detailed description of the zero dimensional cusps for the subgroup of integral elements in each paramodular group.

THE ANALYTIC FEYNMAN INTEGRAL OVER PATHS ON ABSTRACT WIENER SPACE

  • Yoo, Il
    • Communications of the Korean Mathematical Society
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    • v.10 no.1
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    • pp.93-107
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    • 1995
  • In their paper [2,3], Cameron and Storvick introduced some classes $S"+m$ and of functionals on classical Wiener spaces $C_0[a,b]$. For such functionals, they showed that the analytic Feynman integral exists and they gave some formulas for this integral. Moreover they obtained that the functionals of the form $$ (1.1) F(x) = exp {\int^b_a{\theta(s,x(x))dx} $$ are in S" where they assumbed that the potential $\delta : [a,b] \times R \to C$ satisfies (i) for each $s \in [a,b], \theta(s,\cdot)$ is the Fourier-Stieltjes transform of $\sigma_s \in M(R)$, (ii) for each Borel subset E of $[a,b] \times R, \sigma_s (E^{(s)})$ is a Borel measurable function of s on [a,b], and (iii) the total variation $\Vert \sigma_s \Vert$ of $\sigma_s$ is bounded as a function of s.tion of s.

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Subject Independent Classification of Implicit Intention Based on EEG Signals

  • Oh, Sang-Hoon
    • International Journal of Contents
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    • v.12 no.3
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    • pp.12-16
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    • 2016
  • Brain computer interfaces (BCI) usually have focused on classifying the explicitly-expressed intentions of humans. In contrast, implicit intentions should be considered to develop more intelligent systems. However, classifying implicit intention is more difficult than explicit intentions, and the difficulty severely increases for subject independent classification. In this paper, we address the subject independent classification of implicit intention based on electroencephalography (EEG) signals. Among many machine learning models, we use the support vector machine (SVM) with radial basis kernel functions to classify the EEG signals. The Fisher scores are evaluated after extracting the gamma, beta, alpha and theta band powers of the EEG signals from thirty electrodes. Since a more discriminant feature has a larger Fisher score value, the band powers of the EEG signals are presented to SVM based on the Fisher score. By training the SVM with 1-out of-9 validation, the best classification accuracy is approximately 65% with gamma and theta components.

Measurement of Spinal Curvature by Using Enhanced Hough Transform on X-ray Imaging (X-ray 영상에서 개선된 허프 변환을 이용한 척추만곡도 측정)

  • Jeong, Hyang su;Kim, Kwang Beak
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2018.05a
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    • pp.360-362
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    • 2018
  • 본 논문에서는 X-ray 영상에서 척추 영역을 추출 및 분석하여 척추만곡도를 자동으로 측정하는 방법을 제안한다. 제안된 방법은 X-ray 영상에서 어깨뼈와 골반뼈 등과 같이 필요 없는 영역을 제거한 ROI(Region of Interest) 영역을 추출하고, 추출된 ROI 영역에서 척추 에지를 검출하기 위해 가우시안-라플라시안(Laplacian of Gaussian) 필터를 적용하여 척추 에지를 검출한다. 추출된 척추 영역을 척추의 Apex를 기준으로 Above Apex와 Below Apex 영역으로 구분하고 허프 변환(Hough Transform) 기법을 적용하여 두 영역에 대한 ($r,{\theta}$) 허프 공간을 구한다. ($r,{\theta}$) 허프 공간에서 척추만곡도 측정에 필요한 수평 직선만을 검출하기 위하여 수직 직선을 나타내는 교점들의 영역을 제거하여 척추만곡도 측정에 필요한 영역을 추출한다. 제안된 척추 추출 방법을 다양한 X-ray 영상을 대상으로 실험한 결과, 전문의가 척추만곡도를 효과적으로 측정하고 분석할 수 있는 척추 영역이 추출된 것을 확인할 수 있었다.

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The Impedance Properties of Quartz Crystal Microbalance Coated with LB films (LB막을 누적한 수정진동자의 임피던스 특성)

  • 진철남;김경환;유승엽;박재철;권영수
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1998.11a
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    • pp.171-174
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    • 1998
  • Quartz crystal in contact with viscoelastic medium is described directly in terms of the electrical equivalent circuit of the system. Stearic acid is used as viscoelastic medium and deposited on the surface of quartz crystal using the Langmuir-Blodgett(LB) method. Impedance properties of quartz crystal coated with LB films which were investigated and the possibility of applying the technique to chemical sensing introduced.

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Double crystal X-ray diffraction characteristics of $Al_xGa_{1-x}As$ grown by LPE (LPE법으로 성장시킨$Al_xGa_{1-x}As$의 이중결정 X-선 회절 특성)

  • 김인수;이철욱;최현태;배인호;김상기
    • Electrical & Electronic Materials
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    • v.6 no.6
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    • pp.565-572
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    • 1993
  • LPE(liquid phase epiraxy)법으로 성장시킨 $Al_{x}$ Ga$_{1-x}$As (0.15.leq.x.leq.0.67) 에피층의 구조적 특성을 이중결정 X-선 회절장치를 사용하여 조사하였다. GaAs기판과 $Al_{x}$ Ga$_{1-x}$As 에피층의 격자상수 차이로 인해 피이크가 분리되었고 이는 조성비가 증가함에 따라 선형적으로 증가하였다. 그리고 조성비는 Vegard의 법칙으로 구한 값과 기판 및 에피층 피이크 사이 각도분리(.DELTA..theta.)를 측정함으로써 구한 값이 일치하였으며 이때 관계식은 .DELTA..theta.=354.x을 얻었다. 또한 성장된 에피층은 compressive stress를 받고 있으며 조성비(x)가 0.15에서 0.67로 증가함에 따라 응력은 증가하였으며 그리고 피이크의 반치폭으로 부터 계산된 전위밀도가 역시 증가하였다.

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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.

Calculation of Photoelectric Yield by X-ray (X선(線)에 의한 광전수율(光電收率) 계산(計算)에 관(關)한 연구(硏究))

  • Song, Jae-Kwan
    • Journal of radiological science and technology
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    • v.1 no.1
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    • pp.31-35
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    • 1978
  • X-rays contribute to electron emission from material surfaces primarily through photoelectric interaction. A simple model is described for predicting the yield and energy spectrum of photon and Auger electrons emitted from materials exposed to X-ray with low energy. In this paper, We have calculated the yield of primary, Auger, and secondary, electrons. The results of the photoelectric yield model developed here suggests that. I) The angular distribution of emitted electrons(Per unit angle) is proportional to $sin{\theta}\;cos{\theta}$ for all electron energies and all components(Primary, Auger, or Secondary) II) The shape of the energy spectrum of the photoelectric yield is independent of angle. III) For this targets the forward and backward photoelectric yields are indentical.

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Distribution of the Estimator for Peak of a Regression Function Using the Concomitants of Extreme Oder Statistics

  • Kim, S.H;Kim, T.S.
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.855-868
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    • 1998
  • For a random sample of size n from general linear model, $Y_i= heta(X_i)+varepsilon_i,;let Y_{in}$ denote the ith oder statistics of the Y sample values. The X-value associated with $Y_{in}$ is denoted by $X_{[in]}$ and is called the concomitant of ith order statistics. The estimator of the location of a maximum of a regression function, $ heta$($\chi$), was proposed by (equation omitted) and was found the convergence rate of it under certain weak assumptions on $ heta$. We will discuss the asymptotic distributions of both $ heta(X_{〔n-r+1〕}$) and (equation omitted) when r is fixed as nolongrightarrow$\infty$(i.e. extreme case) on the basis of the theorem of the concomitants of order statistics. And the will investigate the asymptotic behavior of Max{$\theta$( $X_{〔n-r+1:n〕/}$ ), . , $\theta$( $X_{〔n:n〕}$)}as an estimator for the peak of a regression function.

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