• Bulletin of the Korean Mathematical Society
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• v.56 no.3
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• pp.621-629
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• 2019

In this paper, we present a local convergence analysis of a three point method with convergence order $1.839{\ldots}$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.

• Advances in nano research
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• v.15 no.1
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• pp.75-89
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• 2023

In this paper, Bishop theory performs longitudinal vibration analysis of Nano-beams. Its governing equation, due to integrated displacement field and more considered primarily effects compared with other theories, enjoys fully completed status, and more reliable results as well. This article aims to find how Bishop theory and Two-phase elasticity work together. In other words, whether Bishop theory will be compatible with Two-phase local/nonlocal elasticity. Hamilton's principle is employed to derive governing equation of motion, and then the 6th order of Generalized Differential Quadrature Method (GDQM) as a constructive numerical method is utilized to attain the discretized two-phase formulation. To acquire a proper verification procedure, exact solution is prepared to be compared with current results. Furthermore, the effects of key parameters on the objective are investigated.

• Journal of the Korean Society of Food Culture
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• v.25 no.6
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• pp.764-769
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• 2010

The aim of this study was to examine how customers perceive storytelling at a real local restaurant and to understand how consumption reflects their evaluation by understanding their values. Participants received information from a real local restaurant in the Gangneung area to examine the effects of storytelling and to evaluate their affective attitudes towards local restaurant stories, word-of-mouth intentions, and purchasing intentions using a seven-point Likert scale. A total of 310 consumers were used. A factor analysis was performed to identify consumption value characteristics and factor structure, which consisted economic value, emotional value, and epistemic value. To test whether local restaurant consumers could be classified into homogenous groups based on their consumption values, a three cluster solution was selected, and a Kmeans cluster analysis was performed. As a result, three groups were identified and labeled appropriate for their scores based on each of the consumption values; emotional value-oriented consumers to cluster 1, epistemic value-oriented consumers to cluster 2, and economic value-oriented consumers to cluster 3. An analysis of variance was used to examine the differences in the affective attitudes towards storytelling at the local restaurant, purchasing intentions, and word-of-mouth intentions across the three clusters. The epistemic value-oriented consumers had the highest score for all three variables. In contrast, economic value-oriented consumers had the lowest scores for the three variables. A regression analysis revealed that affective attitudes towards storytelling were significantly affected by these three consumption values. It also showed that positive affective attitudes towards storytelling were associated with higher purchasing intention and word-of-mouth. The significance of this study was to show how customers perceive storytelling at a real restaurant and reflect on their evaluation by understanding their consumption values. As a result, this study examined the potential power of storytelling as an effective marketing communication tool for local restaurants.

• Journal of the Korean Mathematical Society
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• v.38 no.3
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• pp.657-667
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• 2001

We propose a statistical interpolation approximate solution for a nonlinear stochastic integral equation of a stock price process. The proposed method has the order O(h$^2$) of local error under the weaker conditions of $\mu$ and $\sigma$ than those of Milstein' scheme.

• Korean Journal of Mathematics
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• v.11 no.2
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• pp.117-125
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• 2003

Let $x(t)$ satisty $$(p(t)x^{\prime}(t))^{\prime}+q(t)x^{{\alpha}}(t)+r(t)x^{{\beta}-1}x^{\prime}(t){\leq}0({\geq}0)$$. Then the zeros of $x(t)$ or $x^{\prime}(t)$ are simple.

• Communications of the Korean Mathematical Society
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• v.21 no.4
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• pp.729-737
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• 2006

We study Ribaucour transformations on nondegenerate local isometric immersions of Riemannian space forms into Lorentzian space forms with flat normal bundles. They can be explained by dressing actions on the solution space of Lorentzian Grassmannian systems.

• Journal of the Korean Mathematical Society
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• v.45 no.6
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• pp.1577-1590
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• 2008

We study Ribaucour transformations on nondegenerate local isometric immersions of Lorentzian space forms into Lorentzian space forms with the same sectional curvatures which have flat normal bundles. They can be associated to dressing actions on the solution space of Lorentzian Grassmannian systems.

• Proceedings of the Korean Society of Laser Processing Conference
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• 2005.11a
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• pp.149-155
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• 2005

• East Asian mathematical journal
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• v.39 no.1
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• pp.51-63
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• 2023

We establish the interior L^q regularity estimates for spatial gradient of weak solutions to nonlinear parabolic equations with the inhomogeneity which is given by the divergence and nondivergence data.

• Journal of the Korean institute of surface engineering
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• v.44 no.1
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• pp.7-12
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• 2011

The effect of organic additives, polyethylene glycol (PEG), on the trivalent chromium electroplating was analysed in the view point of current efficiency, solution stability and metallurgical structure. It was measured that PEG-containing trivalent chromium solution had about 10% higher current efficiency than pure solution and controlled the micro-crack density of electrodeposits. PEG exhibited profound effect on the solution stability by reducing the consumption rate of formic acid which acts as a complexant to lower the activation energy required for electrochemical reduction of trivalent chromium ions. It was also revealed that the formation of chromium carbide layer was facilitated in the presence of polyethylene glycol, which meant easier electrochemical codeposition of chromium and carbon, not single chromium deposition. Trivalent chromium layer formed from PEG-containing solution was amorphous with local nano-crystalline particles, which were prominently developed on the entire surface after non-oxidative heat treatment.