• Korean Journal of Mathematics
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• v.22 no.2
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• pp.355-365
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• 2014

We show the existence of nontrivial solutions for some fourth order elliptic boundary value problem with fully nonlinear term. We obtain this result by approaching the variational method and using a linking theorem. We also get a uniqueness result.

• Proceedings of the Jangjeon Mathematical Society
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• v.20 no.2
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• pp.183-191
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• 2017

We get one theorem that there exist solutions for the fourth order semi- linear elliptic Dirichlet boundary value problem with fully nonlinear term. We prove this result by the critical point theory and the variation of linking method.

• 제어로봇시스템학회:학술대회논문집
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• 2004.08a
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• pp.1048-1052
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• 2004

In this work, we have investigated a role of linking parameter in Pulse-Coupled Neural Network(PCNN) which is suggested to explain the synchronous activities among neurons in the cat cortex. Then we have found a method to determine the linking parameter for a satisfactory face detection performance in a given color image. Face detection algorithm which uses the color information is independent on pose, size and obstruction of a face. But the use of color information encounters some problems arising from skin-tone color in the background, intensity variation within faces, and presence of random noise and so on. Depending on these conditions, PCNN's linking parameters should be selected an appropriate values. First we obtained the mean and variance of the skin-tone colors by experiments. Then, we introduced a preprocess that the pixel with a mean value of skin-tone colors has the highest level value (255) and the other pixels have values between 0 and 255 according to normal distribution with a variance. This preprocessing leads to an easy decision of the linking parameter of the Pulse-Coupled Neural Network. Through experiments, it is verified that the proposed method can improve the face detection performance compared to the existing methods.

• Proceedings of the KSRS Conference
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• 2003.11a
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• pp.408-410
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• 2003

In this paper, an improved gradient direction assisted linking algorithm is proposed. This algorithm begins with initial seeds satisfying some local criteria. Then it will search along the direction provided by the initial point. A window will be generated in the gradient direction of the current point. Instead of the conventional method which only considers the value of the local salient structure, an improved mathematical model is proposed to describe the desired linear features. This model not only considers the value of the salient structure but also the direction of it. Furthermore, the linking problem under this model can be efficiently solved by dynamic programming method. This algorithm is tested for linear features detection in IKONOS images. The result demonstrates this algorithm is quite promising.

• Korean Journal of Pharmacognosy
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• v.47 no.4
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• pp.312-318
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• 2016

Advanced glycation end products (AGEs) such as $N^{\varepsilon}$-(carboxy-methyl)lysine (CML) have been implicated in the development of diabetic nephropathy. The aim of this study was to investigate the inhibitory effects of ethanolic extract of Aster koraiensis (AKE) on AGEs formation and AGEs-collagen cross-linking in vitro and CMLs formation in streptozotocin (STZ)-induced diabetic rats. AKE significantly inhibited AGEs formation ($IC_{50}$ value of $18.74{\mu}g/mL$) and AGEs-collagen cross-linking ($IC_{50}$ value of 0.274 mg/mL) in vitro than the well-known glycation inhibitor aminoguanidine ($IC_{50}$ value of $72.12{\mu}g/mL$ and 1.99 mg/mL, respectively). AKE (100 mg/kg per day) was given to diabetic rats for 9 weeks. In STZ-induced diabetic rats, severe hyperglycemia was developed, and urinary CMLs and plasma CMLs were markedly increased. Immunohistochemical stain revealed that CMLs were accumulated within renal glomerulus in STZ-induced diabetic rats. However, AKE significantly reduced urinary CMLs and plasma CMLs in diabetic rats. CMLs accumulation was inhibited by AKE treatment in the renal glomerulus. These results suggest that AKE had an inhibitory effect of AGE accumulation in the glomeruli of diabetic rat and could be an inhibitor of AGE-induced protein cross-linking. The oral administration of AKE may significantly help to prevent the progression of diabetic nephropathy in patients with diabetes.

• Journal of the East Asian Society of Dietary Life
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• v.24 no.3
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• pp.400-406
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• 2014

Apios (Apios americana Medikus) belongs to Leguminosae and is called 'American groundnut', 'Potato bean', and 'wild bean'. Apios is native to the Northern United States but is not widely distributed in Korea. In this study, cross-linked apios starch was prepared by reaction with epichlorohydrin, followed by characterization. FT-IR spectroscopy confirmed the degree of cross-linking of apios starch. X-ray diffraction patterns of native apios showed typical 'A' type as peaks at 15.1, 17.1, 17.9 and $23.2^{\circ}$, and cross-linking did not affect relative crystallinity and X-ray diffraction patterns of the starch. Scanning electron micrographs showed that apios starch granules were smooth with a globular shape, and there was little damage to starch granules after cross-linking. The lightness value of cross-linked apios starch was lower than that of native apios starch, whereas the redness value was not significantly different between cross-linked apios starch and native apios starch. Blue value showed that cross-linking of starch did not affect the iodine reaction of starch.

• Korean Journal of Mathematics
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• v.22 no.4
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• pp.633-644
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• 2014

We get one theorem that there exists a unique solution for the fourth order semilinear elliptic Dirichlet boundary value problem when the number 0 and the coefficient of the semilinear part belong to the same open interval made by two successive eigenvalues of the fourth order elliptic eigenvalue problem. We prove this result by the contraction mapping principle. We also get another theorem that there exist at least two solutions when there exist n eigenvalues of the fourth order elliptic eigenvalue problem between the coefficient of the semilinear part and the number 0. We prove this result by the critical point theory and the variation of linking method.

• Elastomers and Composites
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• v.48 no.3
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• pp.201-208
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• 2013

In this study, effect of different amounts of sulfur and vulcanization accelerators in the acrylonitrile styrene-butadiene rubber (AN-SBR)/silica compounds on the properties of tire tread compound were studied. As a result, cure rate and degree of cross-linking of the compounds were increased due to enhanced cross-linking reactivity by the increased amounts of sulfur and vulcanization accelerators. Also, abrasion resistance and the mechanical properties such as hardness and modulus of the compounds were improved by enhanced degree of cross-linking of the compounds. For the dynamic properties, tan ${\delta}$ value at $0^{\circ}C$ was increased due to the increase of glass transition temperature ($T_g$) by enhanced degree of cross-linking of the compound, and tan ${\delta}$ value at $60^{\circ}C$ was decreased. Initial cure time ($t_1$) showed the linear relationship with tan ${\delta}$ value at $60^{\circ}C$. This result is attributed that reduced initial cure time ($t_1$) of compounds by applying increased amount of curatives can form cross-linking in early stage of vulcanization that may suppress development of filler network. This result is verified by observation on the surface of annealed compounds using AFM (atomic force microscopy). Consequently, decreased initial cure time is considered a very important parameter to reduce tan ${\delta}$ at $60^{\circ}C$ through reduced re-agglomeration of silica particles.

• Journal of the Korean Society for Library and Information Science
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• v.38 no.4
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• pp.251-270
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• 2004

When an institution adopts digital archiving, an economic analysis is required. Though the existing economic analysis considers only tangible benefits, a model to reflect the intangible benefits of digital archiving is needed. This study suggests a comprehensive economic analysis model by applying the value chain concept of information economics. A simulation is conducted on the digital archiving by adopting the concepts of value accelerating and value linking to the economic analysis, and economic factors are derived through sensitivity analysis. The results support the perception that digital archiving contributes to the enhancement of the institution's efficiency.

• Korean Journal of Mathematics
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• v.17 no.1
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• pp.67-76
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• 2009

We show the existence of at least two nontrivial solutions for a class of the systems of the nonlinear elliptic equations with Dirichlet boundary condition under some conditions for the nonlinear term. We obtain this result by using the variational linking theory in the critical point theory.