• Proceedings of the KIEE Conference
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• 1999.07d
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• pp.1861-1863
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• 1999

The polarization gratings were fabricated in chalcogenide $As_{40}Ge_{10}Se_{15}S_{35}$ thin film applicable to a medium of the polarization holography and their diffraction efficiencies$(\eta)$ were monitored by real-time measurement. The polarization gratings prepared consisted of the multi-layer thin film system. As a method to improve the $\eta$, we have investigated its change for the field effect. As the results, the value of $\eta$ strongly depended on the voltage applied to the film and the maximum value, $\eta_{max}$ was enhanced to be about 4 times in comparison with that of not biased sample. In addition, an increase in the $\eta$ can be estimated to be due to additional creation of new defects caused by the electric field across the film.

• Journal of the Korean Mathematical Society
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• v.47 no.5
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• pp.985-1000
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• 2010

Sufficient conditions for the existence of positive solutions for a coupled system of nonlinear nonlocal boundary value problems of the type -x"(t) = f(t, y(t)), t $\in$ (0, 1), -y"(t) = g(t, x(t)), t $\in$ (0, 1), x(0) = y(0) = 0, x(1) = ${\alpha}x(\eta)$, y(1) = ${\alpha}y(\eta)$, are obtained. The nonlinearities f, g : (0,1) $\times$ (0, $\infty$ ) $\rightarrow$ (0, $\infty$) are continuous and may be singular at t = 0, t = 1, x = 0, or y = 0. The parameters $\eta$, $\alpha$, satisfy ${\eta}\;{\in}\;$ (0,1), 0 < $\alpha$ < $1/{\eta}$. An example is provided to illustrate the results.

• Bulletin of the Korean Chemical Society
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• v.31 no.6
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• pp.1628-1632
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• 2010

Porous ${\eta}-Al_2O_3$ was synthesized by modified sol-gel method using ionic liquid as a templating material. The addition of ionic liquid assisted to increase the surface area of alumina. However, the acidity of aluminas prepared with ionic liquids was hardly affected regardless the change of its structural properties. Among the ionic liquids used in this study, 1-butyl-3-methylimidazolium hexafluorophosphate ([Bmim][$PF_6$]) was the most effective ionic liquid to produce porous ${\eta}-Al_2O_3$ particles. The catalytic performance of these aluminas has been investigated in dehydration of methanol to produce dimethyl ether. The alumina prepared with [Bmim][$PF_6$] outperformed the other aluminas except ${\eta}-Al_2O_3$ without modification in this reaction.

• Bulletin of the Korean Mathematical Society
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• v.55 no.4
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• pp.1013-1022
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• 2018

In this paper, we give a local and global classification of 3-dimensional H-contact manifolds whose Ricci tensor is ${\eta}$-parallel.

• Journal of the Korean Mathematical Society
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• v.48 no.1
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• pp.13-21
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• 2011

In this paper, a pair of Wolfe type nondifferentiable sec-ond order symmetric minimax mixed integer dual problems is formu-lated. Symmetric and self-duality theorems are established under $\eta_1$-bonvexity/$\eta_2$-boncavity assumptions. Several known results are obtained as special cases. Examples of such primal and dual problems are also given.

• Journal of applied mathematics & informatics
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• v.24 no.1_2
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• pp.105-126
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• 2007

The purpose of this paper is to construct several parametric duality models and prove appropriate duality results under various generalized (${\theta},{\eta},{\rho}$)-V-invexity assumptions for a discrete minmax fractional programming problem involving arbitrary norms.

• The Pure and Applied Mathematics
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• v.19 no.3
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• pp.281-288
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• 2012

In this paper, the author defines a new generalized ${\eta}$, ${\delta}$, ${\alpha}$)-pseudomonotone mapping and considers the equivalence of Stampacchia-type vector variational-like inequality problems and Minty-type vector variational-like inequality problems for generalized (${\eta}$, ${\delta}$, ${\alpha}$)-pseudomonotone mappings in Banach spaces, called the generalized vector Minty's lemma.

• Bulletin of the Korean Chemical Society
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• v.15 no.10
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• pp.849-852
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• 1994

The ${\alpha},{\beta}$-enoyl chiral iron complexes, ${\alpha},{\beta}-enoyl-{\eta}^5-(C_5H_5)Fe(CO)(PPh_3)$ (1) were prepared from ${\alpha},{\beta}-enoyl-{\eta}^5-(C_5H_5)Fe(CO)_2$(2) and triphenylphosphine through a photochemical ligand substitution followed by carbonylation.

• Bulletin of the Korean Mathematical Society
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• v.56 no.3
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• pp.597-607
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• 2019

In this article, we consider properties of transcendental meromorphic solutions of the complex differential-difference equation $$P_n(z)f^{(n)}(2+{\eta}_n)+{\cdots}+P_1(z)f^{\prime}(z+{\eta}_1)+P_0(z)f(z+{\eta}_0)=0$$, and its non-homogeneous equation. Our results extend earlier results by Liu et al. [9].

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.359-380
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• 2021

The main purpose and motivation of this work is to investigate and provide some new results for coefficients derived from eta quotients related to 3. The result of this paper involve some restricted divisor numbers and their convolution sums. Also, our results give relation between the coefficients derived from infinite product, infinite sum and the convolution sum of restricted divisor functions.