• Honam Mathematical Journal
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• v.29 no.4
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• pp.535-542
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• 2007

In this paper, for each natural number n, we construct a polynomial $p_n$(x) of degree n so that $p_n(x)\;\leq\;p_{n+1}(x)\;\leq\;e^x$ for $x\;\geq\;-1$. These polynomials are optimal in the sense that if p(x) is a polynomial of degree n with $p_{n-l}(x)\;\leq\;p(x)\;\leq\;e^x$, then $p(x)\;\leq\;p_n(x)$.

• The Korean Journal of Applied Statistics
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• v.12 no.1
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• pp.203-211
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• 1999

수리 가능한 시스템의 평균고장간격시간에 대한 많은 연구들이 진행되어 왔으며, 그 대부분은 n번째 고장발생시각 $T_n$을 관측한 후 그 다음 고장이 발생할 때까지의 평균시간, 즉 E($T_{n+1}$-$T_n$$\mid$$T_n$ = $t_n$)에 관한 연구들이었다. 본 연구에서는 수리가능한 시스템의 고장이 와이블과정을 따라 일어날 경우, n번째와 n+1번째 고장간의 평균고장간격시간 E($T_{n+1}$-$T_n$)에 대한 불편추정량을 구하고 일치성 및 근사적 정규성을 증명하였다.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2008.04a
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• pp.23-25
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• 2008

In this paper, we study the existence and uniqueness of solutions for the fuzzy differential equations in ${(E_N)^n}$ using by Banach fixed point theorem. ${(E_N)^n}$ is n-dimension fuzzy vector space.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.36 no.4
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• pp.402-408
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• 2003

A quantitative method was suggested for estimating damages in fishery production due to the diffusion and deposition of suspended silt and clay by various construction processes in tidal flat fishing grounds. Marine populations are maintained through the process of spawning, growth, recruitment, natural death and death by fishing each year. All of the year classes of the population in a fishery ground could be affected when damages occur by human activities such as land filling or reclamation. The propose of this study is to calculate damages in terms of fishery production using a quantitative population dynamic method. If the maximum age in the population is $X_\lambda,$ the starting year of damage is $t_s,$ and the ending year of damage is $t_e,$ the number of year classes damaged is $t_{s-n\lambda}-t_e,$ Many year classes present in the year $t_s,$ and so if damages occur, they Influence all the year classes which are present in the population. Damaged year classes in year $t_e$ would still be in the population until the year $t_{e+n\lambda}$, where $n_{\lambda}$ is the oldest age class. If the expected yield of a year class is constant, the total yield from year classes in the fishing ground during the construction periods can be calculated as follows: $Y_\Phi=[(t_e-t_s+1)+n_c]{\cdot}Y_E+\sum\limits^{n_\lambda-n_c}_{l=1}\;\sum\limits^{n_\lambda-n_c}_{l=i}\;Y_{n_c+i}$ This method was applied for damage estimation in the production of Ruditapes philippinarum in a tidal flat fishing ground.

• Corrosion Science and Technology
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• v.2 no.5
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• pp.212-218
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• 2003

Electronic properties of passive films formed on Ti at film formation potentials $(E_f)V_{SCE}$ in pH 8.5 buffer solution and in an artificial seawater were examined through the photocurrent measurement and Mott-Schottky analysis. The passive films formed on Ti in pH 8.5 buffer solution exhibited a n-type semiconductor with a band gap energys $(E_g);E_g^{n=2}=3.4$ eV for nondirect electron transition, and $E_g^{n=0.5}=3.7$ eV for direct electron transition. These band gap values were almost same as those for the passive films formed in artificial seawater, indicating that chloride ion ($Cl^-$ in solution did not affect the electronic structure of the passive film on Ti. $E_g$ for passive films formed on Ti were found to be greater than those ($E_g^{n=0.5}=3.1$ eV, $E_g^{n=2}=3.4$) for a thermal oxide film formed on Ti in air at $400^{\circ}C$. The disorder energy of passive film, determined from the absorption tail of photocurrent spectrum, was much greater than that for the thermal oxide film farmed on Ti in air at $400^{\circ}C$. The greater $E_g$ and the higher disorder energy for the passive film compared with those for the thermal oxide fIlm suggest that the passive film on Ti exhibited more disorded structure than the thermal oxide film. The donor density (about $2.4{\times}10^{20}cm^{-3}$) for the passive film formed in artificial seawater was greater than that (about $20{\times}10^{20}cm^{-3}$) formed in pH 8.5 buffer solution, indicating that $Cl^-$ increased the donor density for the passive film on Ti.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 2004.11a
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• pp.91-91
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• 2004

• Journal of the Korean Institute of Gas
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• v.17 no.2
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• pp.21-27
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• 2013

The lowest values of the AITs(Autoignition temperatures) in the literature were normally used fire and explosion protection. In this study, the AITs of n-Propanol+n-Octane system were measured from ignition delay time(time lag) by using ASTM E659 apparatus. The AITs of n-Propanol and n-Octane which constituted binary systems were $435^{\circ}C$ and $218^{\circ}C$, respectively. The experimental ignition delay time of n-Propanol+n-Octane system were a good agreement with the calculated ignition delay time by the proposed equations with a few A.A.D.(average absolute deviation).

• Fire Science and Engineering
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• v.21 no.3
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• pp.33-40
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• 2007

The values of the AITs(Autoignition temperatures) for fire and explosion protection are normally the lowest reported. This study measured the AITs of ethylbenzene+n-hexanol and ethylbenzene+n-propionic acid Systems from ignition delay time(time lag) by using ASTM E659-78 apparatus. The AITs of ethylbenzene, n-hexanol and n-propionic acid which constituted binary systems were $475^{\circ}C,\;275^{\circ}C\;and\;511^{\circ}C$, respectively. The experimental ignition delay time of ethylbenzene+n-hexanol and ethylbenzene+n-propionic acid systems were a good agreement with the calculated ignition delay time by the proposed equations with a few A.A.D.(average absolute deviation).

• The Transactions of the Korean Institute of Electrical Engineers P
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• v.58 no.1
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• pp.44-47
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• 2009

This paper describes the information for quantitative simulation of weakly ionized plasma. We must grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. $SF_6$ gas is widely used in industrial of insulation field. In this paper, $N_2$ is mixed to improve pure $SF_6$ gas characteristics. Electron transport coefficients in $SF_6-N_2$ mixture gases are simulated in range of E/N values from 70 to 400 [Td] at 300K and 1 Torr by using Boltzmann equation method. The results of this method. which are ionization coefficient, attachment coefficient, effective ionization coefficient, and critical E/N, can be important data to present characteristic of gas for insulation. Specially critical E/N is a data to evaluate insulation strength of a gas and is presented in this paper for various mixture ratios of $SF_6-N_2$ mixture gases.

• Journal of the Korean Mathematical Society
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• v.51 no.5
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• pp.919-940
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• 2014

We conjecture that if $k{\geq}2$ is an integer and G is a graph of order n with minimum degree at least (n+2k)/2, then for any k independent edges $e_1$, ${\cdots}$, $e_k$ in G and for any integer partition $n=n_1+{\cdots}+n_k$ with $n_i{\geq}4(1{\leq}i{\leq}k)$, G has k disjoint cycles $C_1$, ${\cdots}$, $C_k$ of orders $n_1$, ${\cdots}$, $n_k$, respectively, such that $C_i$ passes through $e_i$ for all $1{\leq}i{\leq}k$. We show that this conjecture is true for the case k = 2. The minimum degree condition is sharp in general.