• Title/Summary/Keyword: (${\epsilon},\

Search Result 769, Processing Time 0.027 seconds

An Numerical Analysis of 2-Dimensional Surface Buoyant Jets by k-$\epsilon$ Turbulence Model (이차원표층방류밀도분류의 k-$\epsilon$ 모델에 의한 수치해석)

  • 최한기;허재영;강주복
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
    • /
    • 1991.07a
    • /
    • pp.93-97
    • /
    • 1991
  • 수표면에 방류되는 온배수등의 흐름과 같은 표층방류밀도분류는 자유난류의 전단류 효과와, 방류수와 주위수의 밀도차에 기인하는 부력효과를 동시에 받는 흐름장을 형성한다. 또한, 이 흐름은 수표면 및 밀도계면에 의해 2 개의 자유경계에 둘러싸인 특이한 경계조건때문에 개수로 흐름으로 대표되는 자유전단류와 구별된다.(중략)

  • PDF

ULTRAVIOLET FLUX VARIATION OF EPSILON AURIGAE

  • Kang, Young-Woon
    • Journal of Astronomy and Space Sciences
    • /
    • v.7 no.1
    • /
    • pp.57-69
    • /
    • 1990
  • The eighteen ultraviolet light curves of Epsilon Aurigae have been plotted using the integrated fluxes reduced from the 233 IUE low dispersion spectra taken between 1978 and 1986. The times of contacts and depth of eclipse have been determined from the light curves at the wavelength from 2550 $AA$ to 3050 $AA$. The UV light curves show two brightenings during the totality, the downward slope of the variation from the second to the third contacts, and asymmetry of the eclipse light curve. The two selected spectra note that the energy density distribution is not changed between the totality of the eclipse and out-of-eclipse.

  • PDF

MINIMIZATION OF THE DENSE SUBSET

  • Kang, Buhyeon
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.33 no.1
    • /
    • pp.33-41
    • /
    • 2020
  • We introduced the concept of the 𝜖0-density and the 𝜖0-dense ace in [1]. This concept is related to the structure of employment. In addition to the double capacity theorem which was introduced in [1], we need the minimal dense subset. In this paper, we investigate a concept of the minimal 𝜖0-dense subset in the Euclidean m dimensional space.

NOVEL METHOD FOR CONSTRUCTING NEW WAVELET ANALYSIS

  • LIN YINGZHEN;CUI MINCGEN
    • The Pure and Applied Mathematics
    • /
    • v.12 no.4 s.30
    • /
    • pp.237-251
    • /
    • 2005
  • In this paper, a new wavelet analysis of differential operator spline is generated, and it is of the symmetry and (3 -$\epsilon$ )-order regula.ity (0 < $\epsilon$ < 3). Finally, using this wavelet basis, we expand Lebesgue square integrable functions efficiently and quickly.

  • PDF

비가법성에 대한 Tukey의 통계량에 관하여

  • Paik, U.B.
    • Journal of the Korean Statistical Society
    • /
    • v.4 no.1
    • /
    • pp.9-17
    • /
    • 1975
  • A, B 두 요인의 영향을 받고 있다고 생각되는 rc개 측정치가 있고 이것이 다음과 같이 $r\timesc$ 이차분류표로 정리되었다고 하자. 여기에서 $$y_{ij} = \mu + \alpha_i + \beta_j + \epsilon_{ij}$$ 와 같은 가법모형을 생각한다. 그리고 $\epsilon_{ij}$는 잔여항으로써 평균이 0, 분산이 $\sigma^2$인 정규분포를 한다고 가정하는 것이 보통이다. 또 이것은 모수모형인 경우 $E(y_{ij}) = \mu + \alpha_i + \beta_i, v(y_{ij}) = \sigma^2$임을 의미하는 것으로 생각된다. 그러나 자료에 따라서는 위에서와 같은 가법적 모형을 적용한다는 것이 적당하지 못한 경우가 있다.

  • PDF

A Direct Method to Derive All Generators of Solutions era Matrix Equation in a Petri Net - Extended Fourier-Motzkin Method -

  • Takata, Maki;Matsumoto, Tadashi;Moro, Seiichiro
    • Proceedings of the IEEK Conference
    • /
    • 2002.07a
    • /
    • pp.490-493
    • /
    • 2002
  • In this paper, the old Fourier-Motzkin method (abbreviated as the old FH method from now on) is first modified to the form which can derive all minimal vectors as well as all minimal support vectors of nonnegative integer homogeneous solutions (i.e., T-invariants) for a matrix equation $Ax=b=0^{m{\times}1}$, $A\epsilonZ^{m{\times}n}$ and $b\epsilonZ^{m{\times}1}$, of a given Petri net, where the old FM method is a well-known and direct method that can obtain at least all minimal support solutions for $Ax=0^{m{\times}1}$ from the incidence matrix . $A\epsilonZ^{m{\times}n}$, Secondly, for $Ax=b\ne0^{m{\times}n}$ a new extended FM method is given; i.e., all nonnegative integer minimal vectors which contain all minimal support vectors of not only homogeneous but also inhomogeneous solutions are systematically obtained by applying the above modified FH method to the augmented incidence matrix $\tilde{A}$ =〔A,-b〕$\epsilon$ $Z^{m{\times}(n+1)}$ s.t. $\tilde{A}\tilde{x}$ = 0^{m{\times}1}$ However, note that for this extended FM method we need some criteria to obtain a minimal vector as well as a minimal support vector from both of nonnegative integer homogeneous and inhomogeneous solutions for Ax=b. Then those criteria are also discussed and given in this paper.

  • PDF

Study on the Prediction Models for the Productions of Major Food Crops (주요 식량작물의 생산량 예측 모형에 관한 연구)

  • Chang, Suk-Hwan
    • Journal of the Korean Data and Information Science Society
    • /
    • v.11 no.1
    • /
    • pp.47-55
    • /
    • 2000
  • In oreder to predict the productions of major crops such as rice, barely, soybean and potato in Kyongsang Puk Do as early as possible, an attempt has been made to develop some prediction model of crop yields, using the data from the Statistical Yearbooks of Agriculture, Forestry and Fisheries from 1966 through 1999. Among the various models considered, $y=\exp({\beta}_{0}+{\beta}_{1}t+{\epsilon})$ was best fit to the planted area of the crops and $y=\exp({\beta}_{0}+{\beta}_{1}t^{1/2}+{\beta}_{2}t+{\sum}^{p}_{i=1}{\beta}_{i}+_2x_i+{\epsilon})$ to the yields. The $R^{2}$ values for the planted areas were $0.9180{\sim}0.9505$, implying good prediction, while that for rice was 0.7234 and those for barley, soybean and potato were $0.8855{\sim}0.9098$, Predictions have also been made for the planted areas upto the year 2005 and yield for the year 2000.

  • PDF

Resonance Fiber Bragg Grating Sensor system based on Fourier Domain Mode-locking Laser (분광 영역 모드록킹 레이저를 이용한 공진형 광섬유 격자 센서)

  • Choi, Byeong Kwon;Jeon, Min Yong
    • Korean Journal of Optics and Photonics
    • /
    • v.23 no.5
    • /
    • pp.211-216
    • /
    • 2012
  • We report a resonance fiber Bragg sensor interrogation based on a Fourier domain mode-locking (FDML) laser. The FDML laser is constructed based on a conventional ring laser cavity configuration with fiber Fabry-Perot tunable filter (FFP-TF). There are two sensor parts which are composed with two FBGs inside the laser cavity. Each sensor part provides a separate laser cavity for the FDML laser. The resonance frequencies of the laser cavities are 46.687 kHz and 44.340 kHz, respectively. We applied a static and a dynamic strain on the FBG sensor system. The slope coefficients of the measured relative wavelength shift and relative time interval from the static strain are found to be $0.61pm/{\mu}{\epsilon}$ and $0.8ns/{\mu}{\epsilon}$, respectively.

Comparison between a 3 Dimensional Turbulent Numerical Model and Hydraulic Experiment Model for the flow phenomenon around a Lock Gate (배수갑문 주위의 흐름현상에 대한 3차원 난류 수치모형과 수리모형실험의 비교)

  • Lee, Sang-Hwa;Jang, Eun-Cheul;Ha, Jae-Yul
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.19 no.2
    • /
    • pp.162-169
    • /
    • 2007
  • This study is focused on the comparison of a 3 dimensional numerical and hydraulic model experiment for the flow phenomenon when a lock gate is opened. The lock gate is designed to discharge the flood flow rate at $218m^3/s$ of Solicheon at the Kun Jang national industry complex. The three dimensional ${\kappa}-{\epsilon}$ turbulent model of ANSYS CFX-10 of the computational fluid dynamics(CFD) program was used. The characteristics of CFX-10 are able to be simulated effectively for turbulent flow, especially the flow separation of the boundary layer of the two phase interface of air and water. The velocity and the flow pattern of the numerical model was showed to be similar to the results of the hydraulic model experiment.

Amplitude impulse and superresolution of interferometric imaging system obtained by superposing three Gauss pupils (세개의 Gauss 동을 중첩한 간섭계형 결상계의 진폭임펄스와 초분해능)

  • 송영란;이민희;이상수
    • Korean Journal of Optics and Photonics
    • /
    • v.8 no.1
    • /
    • pp.1-6
    • /
    • 1997
  • The amplitude impulse S(x) of an interferometric optical imaging system for λ=193 nm(ArF laser) and NA=0.5 is derived for the pupil with superposed three Gauss pupils $A_1$($\omega$), $A_{2-}$($\omega$) and $A_{2+}$($\omega$). It is shown that FWHM of S(x) can be far less than the Rayleigh's criterion of resolution $\frac{1}{2}{\epsilon}_R$, where ${\epsilon}_R$ is equal to λ=193 nm in the present case of NA=0.5. The three Gauss pupils are provided in an optical system which consists of a Twyman-Green interferometer and an imaging system. The system is proposed and relevent optical components are discussed. Siloxane polymer is suggested for fabrications of amplitude modulation plates. In the present work, we assumed the system is free from aberration and linear. The case that the system has residual aberrations is important, and further work is necessary.

  • PDF