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Vol.24 No.4

Yang, Aijun ; Zhang, Li ; Henderson, Johnny pp.191-200 https://doi.org/10.7468/jksmeb.2017.24.4.191
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Abstract

The theory of <TEX>$u_0-positive$</TEX> operators is applied to obtain smallest eigenvalue comparison results for right focal boundary value problems of Atici-Eloe fractional difference equations.

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Abstract

We prove convergence properties of the global solutions to the cooperative cross-diffusion system with the intra-specific cooperative pressures dominated by the inter-specific competition pressures and the inter-specific cooperative pressures dominated by intra-specific competition pressures. Under these conditions the <TEX>$W^1_2-bound$</TEX> and the time global existence of the solution for the cooperative cross-diffusion system have been obtained in [10]. In the present paper the convergence of the global solution is established for the cooperative cross-diffusion system with large diffusion coefficients.

Gu, Bonsang ; Song, Joonhyuk pp.211-226 https://doi.org/10.7468/jksmeb.2017.24.4.211
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Abstract

In this paper, machine learning models employed in various fields are discussed and applied to KOSPI200 stock index return forecasting. The results of hyperparameter analysis of the machine learning models are also reported and practical methods for each model are presented. As a result of the analysis, Support Vector Machine and Artificial Neural Network showed a better performance than k-Nearest Neighbor and Random Forest.

Lee, Sanggi ; Song, Joonhyuk pp.227-241 https://doi.org/10.7468/jksmeb.2017.24.4.227
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Abstract

The study investigates the stock market using emotion index calculated from SMD based on investors' emotion. In the VAR anlaysis, we find that the correlation between the KOSPI200 return and emotion score sum is highest in 2- or 3- day lag. This study concludes that explanatory power of the SMD emotion index is limited in explaining the Korean stock market yet.

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Abstract

In this paper, we solve the additive <TEX>${\rho}-functional$</TEX> equations (0.1) <TEX>$f(x+y)+f(x-y)-2f(x)={\rho}(2f(\frac{x+y}{2})+f(x-y)-2f(x))$</TEX>, and (0.2) <TEX>$2f(\frac{x+y}{2})+f(x-y)-2f(x)={\rho}(f(x+y)+f(x-y)-2f(x))$</TEX>, where <TEX>${\rho}$</TEX> is a fixed (complex) number with <TEX>${\rho}{\neq}1$</TEX>, Using the direct method, we prove the Hyers-Ulam stability of the additive <TEX>${\rho}-functional$</TEX> equations (0.1) and (0.2) in <TEX>${\beta}-homogeneous$</TEX> (complex) F-spaces.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics