• Title/Summary/Keyword: Subregions

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GRADIENT TYPE ESTIMATES FOR LINEAR ELLIPTIC SYSTEMS FROM COMPOSITE MATERIALS

  • Youchan Kim;Pilsoo Shin
    • Journal of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.635-682
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    • 2023
  • In this paper, we consider linear elliptic systems from composite materials where the coefficients depend on the shape and might have the discontinuity between the subregions. We derive a function which is related to the gradient of the weak solutions and which is not only locally piecewise Hölder continuous but locally Hölder continuous. The gradient of the weak solutions can be estimated by this derived function and we also prove the local piecewise gradient Hölder continuity which was obtained by the previous results.

Spatial Analysis for Mean Annual Precipitation Based On Neural Networks (신경망 기법을 이용한 연평균 강우량의 공간 해석)

  • Sin, Hyeon-Seok;Park, Mu-Jong
    • Journal of Korea Water Resources Association
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    • v.32 no.1
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    • pp.3-13
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    • 1999
  • In this study, an alternative spatial analysis method against conventional methods such as Thiessen method, Inverse Distance method, and Kriging method, named Spatial-Analysis Neural-Network (SANN) is presented. It is based on neural network modeling and provides a nonparametric mean estimator and also estimators of high order statistics such as standard deviation and skewness. In addition, it provides a decision-making tool including an estimator of posterior probability that a spatial variable at a given point will belong to various classes representing the severity of the problem of interest and a Bayesian classifier to define the boundaries of subregions belonging to the classes. In this paper, the SANN is implemented to be used for analyzing a mean annual precipitation filed and classifying the field into dry, normal, and wet subregions. For an example, the whole area of South Korea with 39 precipitation sites is applied. Then, several useful results related with the spatial variability of mean annual precipitation on South Korea were obtained such as interpolated field, standard deviation field, and probability maps. In addition, the whole South Korea was classified with dry, normal, and wet regions.

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A Cosmetic Surgery Simulation System using Bilinear Warping and Bilinear Interpolation (쌍선형 워핑 및 쌍선형 보간을 이용한 성형 시스템)

  • 박천주;이재협;전병민
    • The Journal of the Korea Contents Association
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    • v.2 no.2
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    • pp.27-35
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    • 2002
  • This paper describes the implementation of cosmetic surgery simulation system by means of the bilinear warping and interpolation using a pair of control points in order to get the information which can be used to compare the before and the after the surgery. If an user provides a pair of control points, first of all, the system determines warping egion using the points and divides the whole region into four subregions which includes the control points as a corner ones. Then, for each subregion, it calculates warping coefficients for backward mapping using the four known comer points of each subregion. Using those calculated coefficients, the system gets the corresponding position of each pixel on the subregion of original image which matches the subregion of resulting image. Finally, a new pixel value is calculated by bilinear interpolation using the closest four pixel values of the position. The same process is applied to the remaining subregions. Through the experiments, we could find natural aesthetic results without any side effects which unnatural aesthetic results without any side effects which unnaturally distort the boundary of warping region.

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c-Fos Expression in the Nucleus of the Solitary Tract in Response to Salt Stimulation in Rats

  • Kwak, Yong-Ho;Rhyu, Mee-Ra;Bai, Sun-Joon;Sa, Young-Hee;Kwon, Min-Jee;Lee, Bae-Hwan
    • The Korean Journal of Physiology and Pharmacology
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    • v.15 no.6
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    • pp.437-443
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    • 2011
  • Salt signals in tongue are relayed to the nucleus of the solitary tract (NST). This signaling is very important to determine whether to swallow salt-related nutrition or not and suggests some implications in discrimination of salt concentration. Salt concentration-dependent electrical responses in the chorda tympani and the NST were well reported. But salt concentration-dependency and spatial distribution of c-Fos in the NST were not well established. In the present study, NaCl signaling in the NST was studied in urethane-anesthetized rats. The c-Fos immunoreactivity in the six different NST areas along the rostral-caudal axis and six subregions in each of bilateral NST were compared between applications of distilled water and different concentrations of NaCl to the tongue of experimental animals. From this study, salt stimulation with high concentration (1.0 M NaCl) induced significantly higher c-Fos expression in intermediate NST and dorsal-medial and dorsal-middle subregions of the NST compared to distilled water stimulation. The result represents the specific spatial distribution of salt taste perception in the NST.

Premixture Composition Optimization for the Ram Accelerator Performance Enhancement (램 가속기 성능 향상을 위한 예 혼합기 조성비 최적화에 관한 연구)

  • 전용희;이재우;변영환
    • Journal of the Korean Society of Propulsion Engineers
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    • v.4 no.2
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    • pp.21-30
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    • 2000
  • Numerical design optimization techniques are implemented for the improvement of the ram accelerator performance. The design object is to find the minimum ram tube length required to accelerate projectile from initial velocity $V_o$ to target velocity $V_e$. The premixture is composed of $H_2$, $O_2$, $N_2$ and the mole numbers of these species are selected as design variables. The objective function and the constraints are linearized during the optimization process and gradient-based Simplex method and SLP(Sequential Linear Programming) have been employed. With the assumption of two dimensional inviscid flow for internal flow field, the analyses of the nonequilibrium chemical reactions for 8 steps 7 species have been performed. To determined the tube length, ram tube internal flow field is assumed to be in a quasi-steady state and the flow velocity is divided into several subregions with equal interval. Hence the thrust coefficients and accelerations for corresponding subregions are obtained and integrated for the whole velocity region. With the proposed design optimization techniques, the total ram tube length had been reduced 19% within 7 design iterations. This optimization procedure can be directly applied to the multi-stage, multi-premixture ram accelerator design optimization problems.

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Butterfly Population Dynamics at Mt, Yudal, Mokpo, Korea (목포 유달산에서의 나비 개체군 동태에 관한 연구)

  • 기경자;최세웅
    • Korean Journal of Environmental Biology
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    • v.22 no.1
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    • pp.35-42
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    • 2004
  • To examine the species composition and population fluctuation of butterflies at Mt. Yudal, Mokpo, we collected butterflies from May, 2001 to April, 2002 by dividing the study site into four subyegions. As a result, seven families comprising 40 species were identified. The patterns of population fluctuations at the four subregions showed that the lower the elevation the higher the number of species and individuals. Monthly fluctuations of buttefly species produced an M-shaped curve, whereas those of individuals produced a monotonic curve with a maximum peak during August. To see effectively the changes of numbers of species and individuals, we calculated the indices of species richness and evenness by subregions and months. As a result, both indices fulfilled the primary criterion of independence and showed more or less negative association: when heterogeneity is higher, evenness is lower. Examination of butterfly populations over long-term periods might provide an evidence of global warming and a guideline to conserve and manage habitats.

A Back-Analysis of Tunnels in Multi-Layered Underground Structures (다층구조계내 터널 거동의 역해석)

  • 전병승;이상도;나경웅;김문겸
    • Tunnel and Underground Space
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    • v.4 no.1
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    • pp.17-23
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    • 1994
  • This study consists of two procedures on back analysis and forward analysis which is a basic tool of the former. For a safe and economical construction of underground structures, it is required to identify the structural parameters and analyze the structural behavior as exactly as possible. In this paper, a boundary element method to analyze the behavior of multi-alyered underground structures is studied, in which body forces and initial stresses are considered. That is, each layer is discritized into subregions using infinite fundamental solutions, and terms of body forces and initial stresses are transformed into boundary integral where the applied direct integral method is used. And the system of equations containing body forces and initial stresses are considered. That is, each layer is discritized into subregions using infinite fundamental solutions, and terms of body forces and initial stresses are transformed into boundary integral where the applied direct integral method is used. And the system of equations containing body forces and initial stresses are composed, then the method to solve unknowns is used with applying compatibility and equilibrium conditions between interfaces. As well, the direct search method is applied in back analysis problems. By Powell's method as a technique to search unknown parameters, assuming displacements calculated from boundary element analysis as in-situ displacements, elastic moduli and initial stresses are presumed. As consequences of this study, the results of boundary element analysis of the behavior of multilayered structure considering body forces and initial stresses are agreed with those of finite element analysis. And results of back analysis of elastic moduli and initial stresses in each layers are agreed with exact values with a little difference. Therefore, it is known that this study can be efficiently applied for analyzing the behavior of underground structures including back analysis problems.

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Characteristics of Intrinsic Functional Connectivity of Amygdalar Subregions in Social Anxiety Disorder (사회불안장애에서 편도 하위영역의 내재 기능적 연결성의 특성)

  • Kim, Jinseong;Yoon, Hyung-Jun;Park, Sunyoung;Shin, Yu-Bin;Kim, Jae-Jin
    • Anxiety and mood
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    • v.10 no.1
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    • pp.44-51
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    • 2014
  • Objective : The amygdala has been considered to be a critical region in the pathophysiology of social anxiety disorder, but subregional connectivity pattern has not been examined yet despite lots of previous functional neuroimaging studies. Methods : Resting-state functional magnetic resonance imaging data was obtained in 19 patients with social anxiety disorder and 20 normal controls, and default mode functional connectivity with each of basolateral, centromedial and superficial areas of the amygdala was measured and compared between the two groups. Results : Differential amygdala-based networks between the two groups were distributed to all over the brain. In particular, however, a bias on the amygdala-cingulate pathway was observed in the superficial amygdala only. Connectivity strengths between the superficial amygdala and perigenual anterior cingulate cortex were correlated with scores of social interaction and avoidance. Conclusion : Our findings provide new insights into understanding of the intrinsic cognitive bias model of social anxiety disorder. An abnormality in superficial amygdala-anterior cingulate connectivity may influence on cognitive processing of socially-relevant information in social anxiety disorder.

Development of a Performance Prediction Method for Centrifugal Compressor Channel Diffusers

  • Kang, Jeong-Seek;Cho, Sung-Kook;Kang, Shin-Hyoung
    • Journal of Mechanical Science and Technology
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    • v.16 no.8
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    • pp.1144-1153
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    • 2002
  • A hybrid performance prediction method is proposed in the present study. A channel diffuser is divided into four subregions: vaneless space, semi-vaneless space, channel, and channel exit region. One-dimensional compressible core flow and boundary layer calculation of each region with an incidence loss model and empirical correlation of residuary pressure recovery coefficient of a channel predict the performance of diffusers. Three channel diffusers are designed and tested for validating the developed prediction method. The pressure distributions from an impeller exit to the channel diffuser exit are measured and discussed for various operating conditions from choke to nearly surge conditions. The strong non-uniform pressure distribution which is caused by impeller-diffuser interaction is obtained over the vaneless and semi-vaneless spaces. The predicted performance shows good agreement with the measured performance of diffusers at a design condition as well as at off-design conditions.