• Journal of the Korean Statistical Society
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• 제30권3호
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• pp.467-480
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• 2001

This paper considers the use of local $\phi$-divergence measures between posterior distributions under classes of perturbations in order to investigate the inherent robustness of certain classes. The smaller value of the limiting local $\phi$-divergence implies more robustness for the prior or the likelihood. We consider the cases when the likelihood comes form the class of weighted distribution. Two kinds of perturbations are considered for the local sensitivity analysis. In addition, some numerical examples are considered which provide measures of robustness.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제7권1호
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• pp.63-77
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• 2003

Some inequalities for the $Csisz{\acute{a}}r\;{\Phi}-divergence$ and applications for the Kullback-Leibler, $R{\acute{e}}nyi$, Hellinger and Bhattacharyya distances in Information Theory are given.

• 대한수학회지
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• 제47권6호
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• pp.1137-1146
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• 2010

In this paper, we study the divergence based goodness of fit test for partially observed sample from diffusion processes. In order to derive the limiting distribution of the test, we study the asymptotic behavior of the residual empirical process based on the observed sample. It is shown that the residual empirical process converges weakly to a Brownian bridge and the associated phi-divergence test has a chi-square limiting null distribution.

• 대한기계학회논문집B
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• 제40권12호
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• pp.785-792
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• 2016

본 연구에서는 NACA0012 천음속 익형 유동에 있어 비평형 응축이 항력 발산 마하수 $M_D$에 미치는 영향을 TVD 유한 차분법을 사용하여 연구하였다. 받음각 ${\alpha}$가 동일한 경우, 정체점 상대습도 ${\phi}_0$가 높을수록 충격파 직전의 최대 마하수 $M_{max}$는 작게 되고 초음속 영역의 크기도 적게 된다. 주류 마하수 $M_{\infty}$, 정체점 상대습도 ${\phi}_0$ 및 정체온도 $T_0$가 동일한 경우 받음각 ${\alpha}$가 클수록 비평형 응축영역 길이 ${\Delta}_z$은 짧게 된다. 한편, 주류 마하수 $M_{\infty}$와 받음각 ${\alpha}$가 동일한 경우 정체점 상대습도 ${\phi}_0$가 높을수록 조파저항의 감소 때문에 항력계수 $C_D$는 적어진다. $M_D$는 ${\alpha}$가 동일한 경우 ${\phi}_0$가 클수록 크게 되며, ${\phi}_0$가 동일한 경우는 ${\alpha}$가 클수록 $M_D$는 적게 된다.

• Steel and Composite Structures
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• 제25권5호
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• pp.557-569
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• 2017

Moment-thrust-curvatures ($M-P-{\Phi}$ curves) are fundamental quantities for detailed descriptions of basic properties such as stiffness and strength of a section under axial loads required for accurate computation of the deformations of reinforced concrete or composite columns. Currently, the finite-element-based methods adopting small fibers for analyzing a section are commonly used for generating the $M-P-{\Phi}$ curves and they require large amounts of computational time and effort. Further, the conventional numerical procedure using the force-control method might encounter divergence problems under high compression or tension. Therefore, this paper proposes a divergence-free approach, combining the use of the displacement-control and the Quasi-Newton scheme in the incremental-iterative procedure, for generating the $M-P-{\Phi}$ curves of arbitrary sections. An efficient method for computing the strength from concrete components is employed, where the stress integration is executed by layer-based algorithms. For easy modeling of residual stress, cross sections of structural steel components are meshed into fibers for strength resultants. The numerical procedure is elaborated in detail with flowcharts. Finally, extensive validating examples from previously published research are given for verifying the accuracy of the proposed method.

• 한국마린엔지니어링학회:학술대회논문집
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• 한국마린엔지니어링학회 2001년도 춘계학술대회 논문집
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• pp.63-68
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• 2001

In wide angle diffuser, the cross-sectional area increases so rapidly that separation can be avoided only by using boundary layer control. In this study, an experimental and numerical study is performed on performance of a diffuser with guide damper. A series of measurements were carried out to investigate the characteristics of diffuser for different divergence angle(${\phi}=7^{\circ}, \;10.5^{\circ}\;and\; 14^{\circ}$) of guide damper and angle of ${\phi}=10.5^{\circ}$ was through to be the best among three cases. Judging from the results, guide damper can be used as an effective means of improvement for diffuser performance.

• 대한기계학회논문집B
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• 제29권3호
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• pp.376-383
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• 2005

In the paper we investigate characteristics of a transitional behavior from a premixed flame to a triple flame in a lifted flame according to the change of equivalence ratio. In previous study, we showed that the stabilized laminar lifted flame regime is categorized by regimes of premixed flame, triple flame and critical flame. A gas-chromatograph is used to measure concentration field, a smoke-wire system is used to measure streak line, and a PIV system is used to measure velocity field in lifted flame. In the visualization experiment of smoke wire, the flow divergence and redirection reappeared in premixed flame as well as triple flame. Thus we cannot express the flame front of lifted flame has a behavior of triple flame with only flow divergence and redirection. In PIV measurement, flow velocity for those three flames has minimum value at the tip of flame front. To differentiate triple flame and premixed flame, $\Phi$ value of partially premixed fraction is employed. The partially premixed fraction $\Phi$ was constant in premixed flame. In critical flame small gradient appears over the whole regime. In triple flame, typical diffusion flame shape is obtained as parabolic distribution type due to diffusion flame trailing.

• 한국연소학회:학술대회논문집
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• 한국연소학회 2004년도 제29회 KOSCI SYMPOSIUM 논문집
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• pp.85-90
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• 2004

We have presented characteristics of a transitional behavior from a premixed flame to a triple flame in a lifted flame according to the change of equivalence ratio. The experimental apparatus consisted of a slot burner and a contraction nozzle for a lifted flame. As concentration difference of the both side of slot burner increases, the shape of flame changed from a premixed flame to a triple flame, and the liftoff height is decreased to the minimum value and then increase again. Around this minimum point, it is confirmed a transition regime from premixed flame to triple flame. Consequently, the experimental results of the liftoff height, flame curvature and luminescence intensity showed that the stabilized laminar lifted flame regime is categorized by regimes of premixed flame, triple flame and critical flame. In the visualization experiment of smoke wire, the flow divergence and redirection reappeared in premixed flame as well as triple flame. Thus we cannot express the flame front of lifted flame has a behavior of triple flame with only flow divergence and redirection. To differentiate triple flame and premixed flame, ${\Phi}$ value of partially premixed fraction is employed. The partially premixed fraction ${\Phi}$ was constant in premixed flame. In critical flame small gradient appears over the whole regime. In triple flame, typical diffusion flame shape is obtained as parabolic distribution type due to diffusion flame trailing.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2005년도 제25회 추계학술대회논문집
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• pp.110-113
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• 2005

This paper presents flow regime maps of two-dimensional, planar diffusers with constant-area ducts at very low Reynolds numbers. They are obtained from numerical calculations using the commercial CFD program CFD-ACE+. The Reynolds numbers considered are 63, 105, and 210. For each Reynolds number, a wide range of geometric parameters of dimensionless diffuser length, which is a ratio of diffuser length to throat width, $1 and divergence half angle $1^{\circ}<\phi<50^{\circ}$ are selected to obtain steady-state solutions. These maps can be served as a guideline to designers for very low Reynolds number diffuser flows.

• 생명과학회지
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• 제16권5호
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• pp.812-827
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• 2006

멸치의 유전적 집단구조 및 지리적 거리를 조사하기 위하여 한국근해 및 외해역 12개 정점에서 채집된 멸치의 미토콘드리아 DNA control 부위를 대상으로 염기서열을 상호 비교 및 분석했다. 염기서열 분석결과 89개체 중 29 haplotype이 나타났고, 상호 염기치환율은 0-3.5% 차이를 보였다. E9 haplotype이 근해 및 외해역에서 가장 넓게 분포하고 있는 것으로 나타났다 (58.3%). 반면에, E26, E27, E28, E29 haplotype 들은 서남해역 (정점 10)에서만 보였다. PHYLIP 프로그램을 이용한 유전적 관계에서도 두개의 clade로 분리되었다. E26, E27, E28, E29 haplotype을 제외한 나머지 haplotype 들은 상호 잘 유지되는 것으로 나타났다 (bootstrap 75% 이상). 그러나 clade A와 B bootstrap은 매우 약하게 나타났다 (51%). haplotype 간의 상호분석 결과 다양도는 0.75-1.00, 염기다양도는 0.015-0.0244로 보였다.