• 제목/요약/키워드: Theta function

검색결과 250건 처리시간 0.021초

Luminance에 의한 Pupil의 변화에 대한 모델 (A Model of Pupil's Change with Luminance)

  • 김용근
    • 한국안광학회지
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    • 제1권2호
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    • pp.7-11
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    • 1996
  • 동공반사에 의한 동공크기 변화는 luminance 량에 의해 결정되며, 동공크기에 따른 외부 광량의 투과량인 망막조도비 분포함수와 luminance 량에 따른 추체, 간체의 수용체 분포함수에 의존한다. Luminance 에 대한 동공크기 변화는 다음과 같은 수식적 모델로 표현 할 수 있다. $$y(x)={\alpha}+{\beta}\frac{1}{1+{e}{x}{p}(x-x_0)/{\theta}}$$ 여기서 ${\alpha}$는 luminance의 최대값에서 동공직경 크기이고, ${\beta}$는 동공직경 최대, 최소 편차, ${\theta}$는 개인차의 민감도를 나타내는 parameter이다. P.Moon등의 실험값과 비교해 보면 이모델식이 잘 일시함을 알 수 있다.

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세라믹에서 충격속도에 따른 충격손상 및 콘크랙 형상의 변화 (Variation of Cone Crack Shape and Impact Damage According to Impact Velocity in Ceramic Materials)

  • 오상엽;신형섭;서창민
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.383-388
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    • 2001
  • Effects of particle property variation of cone crack shape according to impact velocity in silicon carbide materials were investigated. The damage induced by spherical impact having different material and size was different according to materials. The size of ring cracks induced on the surface of specimen increased with increase of impact velocity within elastic contact conditions. The impact of steel particle produced larger ring cracks than that of SiC particle. In case of high impact velocity, the impact of SiC particle produced radial cracks by the elastic-plastic deformation at impact regions. Also percussion cone was formed from the back surface of specimen when particle size become large and its impact velocity exceeded a critical value. Increasing impact velocity, zenithal angle of cone cracks in SiC material was linearly decreasing not effect of impact particle size. An empirical equation, $\theta=\theta_{st}-\upsilon_p(180-\theta_{st})(\rho_p/\rho_s)^{1/2}/415$, was obtained from the test data as a function of quasi-static zenithal angle of cone crack($\theta_{st}$), the density of impact particle(${\rho}_p$) and specimen(${\rho}_s$). Applying this equation to the another materials, the variation of zenithal angle of cone crack could be predicted from the particle impact velocity.

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격판을 가진 수평환상공간에서의 자연대류 열전달 (Natural Convection Heat Transfer from a Horizontal Annulus with Spacers)

  • 이범철;정한식;권순석
    • 대한기계학회논문집
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    • 제13권1호
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    • pp.153-160
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    • 1989
  • 본 연구는 수평전도관과 수평원통 사이의 환상공간에 수직격판이 부착된 경우와 수평직판이 부착된 경우에 Rayleigh수와 무차원 관열전도율을 변수로하여 수직해석과 Mach-Mehnder 간섭계를 이용한 실험으로 자연대류 열전달특성을 연구 하였다.

Applying Novel Mean Residual Life Confidence Intervals

  • Guess, F.M.;Steele, J.C.;Young, T.M.;Leon, R.V.
    • International Journal of Reliability and Applications
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    • 제7권2호
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    • pp.177-186
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    • 2006
  • Typical confidence intervals for a mean or mean residual life (MRL) are centered about the mean or mean residual life. We discuss novel confidence intervals that produce statements like "we are 95% confident that the MRL function, e(t), is greater than a prespecified $\mu_o$ for all t in the interval [0, $\hat{\theta})$)" where $\hat{\theta}$ is determined from the sample data, confidence level, and $\mu_o$. Also, we can have statements like 'we are 95% confident that the MRL of population 1, namely $e_1$(t), is greater than the MRL of population 2, $e_2$(t), for all t in the interval [0, $\hat{\theta}$)" where $\hat{\theta}$ is determined from the sample data and confidence level. We illustrate these one and two sample confidence intervals on internal bonds (tensile strengths) for an important modem engineered wood product, called medium density fiberboard (MDF), used internationally.

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CLUSTERING OF EXTREMELY RED OBJECTS IN THE SUBARU GTO 2DEG2 FIELD

  • Shin, Jihey;Shim, Hyunjin;Hwang, Ho Seong;Ko, Jongwan;Lee, Jong Chul;Utsumi, Yousuke;Hwang, Narae;Park, Byeong-Gon
    • 천문학회지
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    • 제50권3호
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    • pp.61-70
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    • 2017
  • We study the angular correlation function of bright ($K_s{\leq}19.5$) Extremely Red Objects (EROs) selected in the Subaru GTO 2$deg^2$ field. By applying the color selection criteria of $R-K_s$ > 5.0, 5.5, and 6.0, we identify 9055, 4270, and 1777 EROs, respectively. The number density is consistent with similar studies on the optical - NIR color selected red galaxies. The angular correlation functions are derived for EROs with different limiting magnitude and different $R-K_s$ color cut. When we assume that the angular correlation function $w({\theta})$ follows a form of a power-law (i.e., $w({\theta})=A{\theta}^{-{\delta}}$), the value of the amplitude A was larger for brighter EROs compared to the fainter EROs. The result suggests that the brighter, thus more massive high-redshift galaxies, are clustered more strongly compared to the less massive galaxies. Assuming that EROs have redshift distribution centered at ~ 1.1 with ${\sigma}_z=0.15$, the spatial correlation length $r_0$ of the EROs estimated from the observed angular correlation function ranges ${\sim}6-10h^{-1}Mpc$. A comparison with the clustering of dark matter halos in numerical simulation suggests that the EROs are located in most massive dark matter halos and could be progenitors of $L_{\ast}$ elliptical galaxies.

노년기 인지기능 및 건강상태를 반영하는 지표로써 Alpha 고유리듬과 뇌파 및 HRV 지표와의 관계 연구 (A Study of Intrinsic Alpha Rhythm, Electroencephalography, and Heart Rate Variability Index as Indicators of Cognitive Function and Health in Elderly Adults)

  • 심준영
    • 감성과학
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    • 제22권3호
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    • pp.21-34
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    • 2019
  • 이 연구는 노년기 인지기능 및 생리적 건강상태와 관련 있는 정량화 뇌파의 Alpha 고유리듬 피크 위치 및 진폭의 출현 유무가 정신적·육체적 스트레스, 주의집중 등의 뇌파 지표들과 심박변이도 지표 간에 어떠한 관련성과 임상적 의미가 있는지 알아보고자 하였다. 이를 위하여 평균 73세 남녀 노인 76명을 대상으로 전두엽 2채널 뇌파와 1채널 심전도를 동시에 측정 가능한 장치를 이용하여 폐안시 EEG, HRV를 측정하였다. 의미있는 분석 결과는 다음과 같다. 첫 번째, Alpha 고유리듬피크 위치와 상관없이 고유리듬 진폭이 높게 잘 나타난 집단은 낮은 집단에 비해 정신적 스트레스에 대한 저항도는 높고, 육체적 스트레스는 낮게 나타나는 상관성을 보였다. 두 번째, 심박변이도의 HRV index, SDNN, RMSSD 지표는 집단 구분에 상관없이 공통적으로 서로 간 높은 양의 상관성을 보였다. 세 번째, Alpha 고유리듬 진폭이 잘 나타나지 않은 집단에서 좌·우뇌 Alpha 비대칭이 커질수록 육체적 스트레스를 반영하는 Delta/Alpha 비율과 주의집중 저하를 반영하는 Theta/SMR 비율도 커지는 상관성을 보였다. 네 번째, Alpha 고유리듬피크가 느린 리듬쪽에 위치한 집단은 빠른 리듬 쪽에 위치한 집단에 비해 Theta/SMR 비율이 높게 나타나 주의집중도 저하와 관련이 있음을 의미하였다. 따라서 정량화 뇌파의 Alpha 고유리듬 피크 위치 및 진폭의 출현 유무는 노년기 인지기능 및 생리적 건강상태를 반영하는 지표로 활용 가능성이 있음을 시사하였다.

EVALUATION FORMULAS FOR AN ANALOGUE OF CONDITIONAL ANALYTIC FEYNMAN INTEGRALS OVER A FUNCTION SPACE

  • Cho, Dong-Hyun
    • 대한수학회보
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    • 제48권3호
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    • pp.655-672
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    • 2011
  • Let $C^r$[0,t] be the function space of the vector-valued continuous paths x : [0,t] ${\rightarrow}$ $R^r$ and define $X_t$ : $C^r$[0,t] ${\rightarrow}$ $R^{(n+1)r}$ and $Y_t$ : $C^r$[0,t] ${\rightarrow}$ $R^{nr}$ by $X_t(x)$ = (x($t_0$), x($t_1$), ..., x($t_{n-1}$), x($t_n$)) and $Y_t$(x) = (x($t_0$), x($t_1$), ..., x($t_{n-1}$)), respectively, where 0 = $t_0$ < $t_1$ < ... < $t_n$ = t. In the present paper, with the conditioning functions $X_t$ and $Y_t$, we introduce two simple formulas for the conditional expectations over $C^r$[0,t], an analogue of the r-dimensional Wiener space. We establish evaluation formulas for the analogues of the analytic Wiener and Feynman integrals for the function $G(x)=\exp{{\int}_0^t{\theta}(s,x(s))d{\eta}(s)}{\psi}(x(t))$, where ${\theta}(s,{\cdot})$ and are the Fourier-Stieltjes transforms of the complex Borel measures on ${\mathbb{R}}^r$. Using the simple formulas, we evaluate the analogues of the conditional analytic Wiener and Feynman integrals of the functional G.

Conditional Integral Transforms on a Function Space

  • Cho, Dong Hyun
    • Kyungpook Mathematical Journal
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    • 제52권4호
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    • pp.413-431
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    • 2012
  • Let $C^r[0,t]$ be the function space of the vector-valued continuous paths $x:[0,t]{\rightarrow}\mathbb{R}^r$ and define $X_t:C^r[0,t]{\rightarrow}\mathbb{R}^{(n+1)r}$ and $Y_t:C^r[0,t]{\rightarrow}\mathbb{R}^{nr}$ by $X_t(x)=(x(t_0),\;x(t_1),\;{\cdots},\;x(t_{n-1}),\;x(t_n))$ and $Y_t(x)=(x(t_0),\;x(t_1),\;{\cdots},\;x(t_{n-1}))$, respectively, where $0=t_0$ < $t_1$ < ${\cdots}$ < $t_n=t$. In the present paper, using two simple formulas for the conditional expectations over $C^r[0,t]$ with the conditioning functions $X_t$ and $Y_t$, we establish evaluation formulas for the analogue of the conditional analytic Fourier-Feynman transform for the function of the form $${\exp}\{{\int_o}^t{\theta}(s,\;x(s))\;d{\eta}(s)\}{\psi}(x(t)),\;x{\in}C^r[0,t]$$ where ${\eta}$ is a complex Borel measure on [0, t] and both ${\theta}(s,{\cdot})$ and ${\psi}$ are the Fourier-Stieltjes transforms of the complex Borel measures on $\mathbb{R}^r$.

CHARACTERIZATIONS BASED ON THE INDEPENDENCE OF THE EXPONENTIAL AND PARETO DISTRIBUTIONS BY RECORD VALUES

  • LEE MIN-YOUNG;CHANG SE-KYUNG
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.497-503
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    • 2005
  • This paper presents characterizations on the independence of the exponential and Pareto distributions by record values. Let ${X_{n},\;n {\ge1}$ be a sequence of independent and identically distributed(i.i.d) random variables with a continuous cumulative distribution function(cdf) F(x) and probability density function(pdf) f(x). $Let{\;}Y_{n} = max{X_1, X_2, \ldots, X_n}$ for n \ge 1. We say $X_{j}$ is an upper record value of ${X_{n},{\;}n\ge 1}, if Y_{j} > Y_{j-1}, j > 1$. The indices at which the upper record values occur are given by the record times {u(n)}, n \ge 1, where u(n) = $min{j|j > u(n-1), X_{j} > X_{u(n-1)}, n \ge 2}$ and u(l) = 1. Then F(x) = $1 - e^{-\frac{x}{a}}$, x > 0, ${\sigma} > 0$ if and only if $\frac {X_u(_n)}{X_u(_{n+1})} and X_u(_{n+1}), n \ge 1$, are independent. Also F(x) = $1 - x^{-\theta}, x > 1, {\theta} > 0$ if and only if $\frac {X_u(_{n+1})}{X_u(_n)}{\;}and{\;} X_{u(n)},{\;} n {\ge} 1$, are independent.

유동화물의 유효자유표면에 관한 연구 (A Study on the Effective Free Surface of Fluid Cargo)

  • 허일;왕지석
    • 한국항해학회지
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    • 제11권2호
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    • pp.73-88
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    • 1987
  • It is well known that the height of tank metacenter above the centroid of fluid in a tank is given by i/v where I is the inertia moment of free surface and v is the fluid volume. It is supposed in this formula that the inclination of ship is small and that the free surface of fluid do not touch the top and the bottom of tank. It the inclination of ship is large, the height of tank metacenter may be possibly greater than that given by i/v. The height of tank metacenter is smaller than i/v when the free surface of fluid touch the top or the bottom of tank. The reasonable method to calculate the height of tank metacenter is presented in this paper and prepared in FORTRAN program by FUNCTION EFFRES. The approximate formula was also developed and given by $g_m=(1+\frac{2}{1}tan^2\theta)[1-EXP\{-12(\frac{\alpha(1-\alpha)k}{tan\theta})^{1.25}\}]\frac{i}{v}$ where $g_m$ is the distance from the centroid of fluid to the tank metacenter, $\theta$ is inclined angle of ship, $\alpha$ is the ratio of filled volume to tank capacity and k is the ratio of the depth to the width of tank. The values calculated by the approximate formula given in this paper were compared with the exact values from the computer program and proved out to be sufficiently precise for practical use.

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