• Journal of the Korean Chemical Society
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• v.32 no.2
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• pp.135-143
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• 1988

The correlations between chromatographic parameters of monosubstituted benzenes and several physical parameters in reversed phase liquid chromatography were studied. The relationships between retention data and polarity index were investigated by plotting $log(log k'_S/k'_B)$ vs. $P'_S/P'_B$ which were relative retention and relative polarity index of monosubstituted benzenes with respect to benzene, respectively. The linear relationship between relative retention and polarity index was observed for the monosubstituted benzenes having polar group, while in case of those having nonpolar group, the good linearity was observed by combination with relative molecular weight i.e. $(P'_S/P'_B)/(MW_S/MW_B)$. Multivariant regression analysis, $a(P'_S/P'_B)+b(MW_S/MW_B)$+c did not give significantly better correlations compared to single variant analysis, $a[(P'_S/P'_B)/(MW_S/MW_B)]$+c, but multiple stepwise regression analysis was recommended when several physical parameters simultaneously were chosen. The best correlation between retention data for monosubstituted benzenes taken from the literature and substituent constant(${\pi}$), derived from hydrophobic parameter and the first order molecular connectivity index$(^1{\chi}^{\nu})$, was established for methanol/water mobile phase system. The larger the surface coverage of the stationary phase, the higher was the correlation coefficient between these two parameters and retention data.

• Korean Journal of Optics and Photonics
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• v.4 no.2
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• pp.173-180
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• 1993

We observed Ramsey resonance signals from an optically pumped cesium atomic clock and compared them with the theoretical results calculated from the Ramsey transition probabilities. The theoretical results were in good agreement with the experimental results when the weighting factor of $1/{\nu}$ was taken into account to the Maxwellian distribution of velocities in the atomic beam. It was also found that the clock transition signal of Rabi-Ramsey spectra can be greatly enhanced by using two lasers with the proper polarizations as pumping sources of cesium atoms.

• The Bulletin of The Korean Astronomical Society
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• v.39 no.2
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• pp.44.1-44.1
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• 2014

최근 연구에서 발디 등은 우주론적 축퇴라는 이슈를 부각시켰다. 우주론적 축퇴는 실제 우주가 다수의 대안 우주론을 동시에 복합적으로 가질 때 거대 구조를 이용한 기존의 통계적인 방법만으로 우주론을 단정적으로 구별해 내기 충분치 않다는 것을 의미한다. 이 연구에서는 초은하단 스파인(spine)의 비크기(specific size)가 우주론적 축퇴를 완화할 수 있는지 조사하였다. f(R) 중력과 무거운 중성미자가 동시에 복합적으로 적용되는 다체 수치실험의 헤일로들을 분석한 결과, f(R) 중력이 비크기에 미치는 영향을 최대한으로 억제하는 ${\sum}_im_{{\nu}_i}$의 값이 기존의 통계적인 방법들에서 얻은 값과 다름을 확인하였다. 더 나아가 z=0.3 이상의 높은 적색편이에서는 f(R) 중력과 ${\sum}_im_{{\nu}_i}$ 조합한 모든 우주에서의 초은하단 평균 비크기가 표준 우주론인 ${\Lambda}$ CDM과 통계적으로 유의미하게 달라지는 것을 확인하였다. (arXiv:1404.3639v1)

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.11 no.1
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• pp.41-56
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• 2007

A 3-partite 2-digraph is an orientation of a 3-partite multi-graph that is without loops and contains at most two edges between any pair of vertices from distinct parts. Let D(X, Y, Z) be a 3-partite 2-digraph with ${\mid}X{\mid}=l,\;{\mid}Y{\mid}=m,\;{\mid}Z{\mid}=n$. For any vertex v in D(X, Y, Z), let $d^+_{\nu}\;and\;d^-_{\nu}$ denote the outdegree and indegree respectively of v. Define $p_x=2(m+n)+d^+_x-d^-_x,\;q_y=2(l+n)+d^+_y-d^-_y\;and\;r_z=2(l+m)+d^+_z-d^-_z$ as the marks (or 2-scores) of x in X, y in Y and z in Z respectively. In this paper, we characterize the marks of 3-partite 2-digraphs and give a constructive and existence criterion for sequences of non-negative integers in non-decreasing order to be the mark sequences of some 3-partite 2-digraph.

• Journal of applied mathematics & informatics
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• v.28 no.3_4
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• pp.763-772
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• 2010

This paper deals with the existence of triple positive solutions for the nonlinear second-order three-point boundary value problem z"(t)+a(t)f(t, z(t), z'(t))=0, t $\in$ (0, 1), $z(0)={\nu}z(1)\;{\geq}\;0$, $z'(\eta)=0$, where 0 < $\nu$ < 1, 0 < $\eta$ < 1 are constants. f : [0, 1] $\times$ [0, $+{\infty}$) $\times$ R $\rightarrow$ [0, $+{\infty}$) and a : (0, 1) $\rightarrow$ [0, $+{\infty}$) are continuous. First, Green's function for the associated linear boundary value problem is constructed, and then, by means of a fixed point theorem due to Avery and Peterson, sufficient conditions are obtained that guarantee the existence of triple positive solutions to the boundary value problem. The interesting point is that the nonlinear term f is involved with the first-order derivative explicitly.

• Solar Energy
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• v.13 no.1
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• pp.31-38
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• 1993

A numerical study of natural convection heat transfer confined by circular parallel walls at different temperatures and flat adiabatic walls is investigated for Rayleigh numbers from $10^3$ to $10^5$and sectorial angles from $30^{\circ}$ to $180^{\circ}$. It is used by a finite difference method to solve the governing equations. The results show velocity and temperature distributions. Mean Nusselt numbers are shown by $\overline{Nu}=C(Ra_L)^m$.

• Transactions of the Korean Society of Mechanical Engineers
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• v.19 no.11
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• pp.3072-3083
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• 1995

The numerical simulation on the three-dimensional natural convection heat transfer in the enclosure with heat generating chip is performed, and the effects of convective heat loss and vents are also examined. The effects of the Rayleigh number and outer Nusselt number (Nu$_{0}$) on the maximum chip temperature and the fractions of heat loss from the hot surfaces are investigated. The results show that conduction through the substrate is dominant in heat dissipation. With the increase of Rayleigh number, heat dissipation through the chip surfaces increases and heat loss through the substrate decreases. Maximum dimensionless temperature with vents is found to decrease about 40% compared to the one without vents at Nu$_{0}$=0.l. It is also shown that effects of size and location of the vents are negligible.ble.

• Korean Journal of Food Science and Technology
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• v.32 no.2
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• pp.252-257
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• 2000

The physicochemical and pasting properties of amaranth starches isolated from five cultivars, Andy, Suvarna, Nu World, K266-1, K432, grown in Korea, were investigated. The shapes of starch granules were all polygonal and size was in the range $1.14{\sim}1.48\;{\mu}m$ for all five cultivars. X-ray diffractograms were shown typical A type diffraction patterns for all amaranth starches. The protein and crude lipid contents of starches were $0.13{\sim}0.23%$ and $0.01{\sim}0.05%$, respectively. The apparent amylose contents ranged from $2.79{\sim}4.35%$ and the water binding capacities were $128.05{\sim}135.80%$. The transmittances of 0.1% amaranth starch suspensions except K266-1 increased rapidly above $65^{\circ}C$, thereafter increased slowely. The initial pasting and peak temperature ranges of five cultivars by RVA were $71.3{\sim}73.7^{\circ}C$ and $81.5{\sim}84.0^{\circ}C$, respectively. The peak and cooling viscosities followed the order : Nu World>Andy>Suvarna>K432>>K266-1. Nu World was shown the highest peak (166), final (103) and cooling viscosities (30 RVU). K266-I exhibited the lowest setback (-38) of all five cultivars. Gelatinization (To) and peak temperature (Tp) of amaranth starches in DSC thermograms were $65.7{\sim}68.0^{\circ}C$ and $70.6{\sim}75.8^{\circ}C$, respectively. Enthalpies followed the order: K266-1

• 대한핵의학회:학술대회논문집
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• 2004.11a
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• pp.405.1-405.1
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• 2004

• Journal of applied mathematics & informatics
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• v.5 no.2
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• pp.499-506
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• 1998

In this paper we will consider the interpolation of fuzzy data by fuzzy-valued natural splines. Finally we will give the nu-merical solution of the illustrative examples.