• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.245-258
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• 2005

In this paper we prove that the alternating groups A_n, for n = p, p+1, p+2 and symmetric groups $S_n$, for n = p, p+1, where p$\ge$3 is a prime number, can be uniquely determined by their order components. As one of the important consequence of this characterization we show that the simple groups An, where n = p, p+1, P+2 and p$\ge$3 is prime, satisfy in Thompson's conjecture and Shi's conjecture.

• The Pure and Applied Mathematics
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• v.19 no.3
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• pp.239-249
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• 2012

For each submanifold X in the sphere $S^n$; we show that the corresponding conormal bundle $N^*X$ is Lagrangian for the Stenzel form on $T^*S^n$. Furthermore, we correspond an austere submanifold X to a special Lagrangian submanifold $N^*X$ in $T^*S^n$. We also discuss austere submanifolds in $S^n$ from isoparametric geometry.

• Communications of the Korean Mathematical Society
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• v.18 no.4
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• pp.725-736
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• 2003

Let $A_1,{\;}A_2,...,A_n$ be a sequence of events on a given probability space. Let $m_n$ be the number of those $A'_{j}s$ which occur. Upper bounds of P($m_n{\;}\geq{\;}1) are obtained by means of probability of consecutive terms which reduce the number of terms in binomial moments $S_2,n,S_3,n$ and $S_4,n$.

• Journal of the Korean Institute of Gas
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• v.11 no.4
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• pp.73-78
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• 2007

The lower flash points for the n-pentanol+n-propionic acid and n-pentanol+n-butyric acid systems, in air at atmospheric pressure, were measured by using Pensky-Martens closed cup apparatus. The experimental data were compared with the values calculated by the Raoult's law and optimization method. The calculated values based on the optimization method were found to be better than those based on the Raoult's law.

• Communications of the Korean Mathematical Society
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• v.9 no.2
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• pp.279-284
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• 1994

Let R = ($r_1$, $r_2$, …, $r_{m}$) and S = ($s_1$, $s_2$, …, $s_{n}$ ) be positive integral vectors satisfying $r_1$＋ $r_2$＋…＋ $r_{m}$ = $s_1$＋ $s_2$＋ㆍㆍㆍ＋ $s_{n}$ , and let U(R, S) denote the class of all m $\times$ n matrices A = [$_a{ij}$ ] where $a_{ij}$ = 0 or 1 such that (equation omitted) = $r_{i}$ , (equation omitted) = $s_{j}$ , i = 1, ㆍㆍㆍ, m, j = 1, ㆍㆍㆍ, n.(omitted)

• Journal of Food Hygiene and Safety
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• v.28 no.4
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• pp.349-353
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• 2013

This study was performed to evaluate the bactericidal efficacy of Fumagari OPP$^{(R)}$, fumigation disinfectant, containing 20% ortho-phenylphenol against Staphylococcus aureus (S. aureus). In this research, efficacy test of fumigant against S. aureus was carried out according to French standard NF T 72-281. S. aureus working culture suspension number (N value), all of the colony numbers on the carriers exposed with the fumigant (n1, n2, and n3), the number of bacterial test suspentions by pour plate method (N1), the number of bacterial test suspentions by filter membrane method (N2) and the mean number of bacteria recovered on the control-carriers (T value) were obtained from the preliminary test. In addition, the reduction number of S. aureus exposed with the fumigant (d value) was calculated using T value, the mean number of bacteria in recovery solution (n'1) and the mean number of bacteria on carriers plated in agar (n'2). N value was $4.0{\times}10^8$ CFU/mL, and n1, n2, and n3 were higher than 0.5N1, 0.5N2 and 0.5N1, respectively. Additionally, T value was $3.4{\times}10^6$ CFU/mL. In the bactericidal effect of the fumigant, the d value was 6.43 logCFU/mL. According to the French standard for the fumigant, the d value for the effective bactericidal fumigant should be over than 5 logCFU/mL. The results indicated that Fumagari OPP$^{(R)}$ had an effective bactericidal activity against S. aureus, then the fumigant can be applied to disinfect food materials and kitchen appliances contaminated with pathogenic bacteria.

• Journal of the Korean Chemical Society
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• v.33 no.5
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• pp.504-509
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• 1989

Cobalt(III) complexes of N,N'-dimethylethylenediamine-N,N'-di-${\alpha}$-butyric acid(dmedba) and trifunctional aminoacids, [Co(dmedba)(L-aa)] (L-aa = S-methyl-L-cysteine, L-methionine, L-glutamic acid, L-aspartic acid) have been prepared from the reaction between the $ s-cis-[Co(dmedba)Cl_2]-^$ complex and the amino acid. The amino acids have been found to coordinate through the amine and carboxylate groups just like [Co(dmedda)(L-aa)]. The complexes obtained in this work were characterized by their proton magnetic resonance, infrared and visible absorption spectral data along with the elemental analyses.

• Journal of the Korean Chemical Society
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• v.29 no.3
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• pp.287-294
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• 1985

Acrylamide, N-alkyl substituted acrylamides and N,N-diethylacrylamide were reacted with aryl bromides in the presence of triethylamine and palladium acetate-triorthotolyl phosphine catalyst to form the various substituted aryl conjugated enamides. These reactions proceeded selectively and (E)-isomer of aryl conjugated enamides was obtained. N-alkyl substituted acrylamides were more reactive than acrylamide or N,N-diethylacrylamide and gave high yields of vinylated products. Aryl bromides with electron withdrawing group showed good reactivity but aryl bromides with electron donating group showed poor reactivity or no reactivity for acrylamide or N,N-diethylacrylamide.

• Journal of the Korean Chemical Society
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• v.31 no.6
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• pp.486-490
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• 1987

The effect of the hydrogen-bonding between thioacetamide (TA) and amides (N,N-dimethylformamide (DMF), N,N-dimethylacetamide (DMA) and N,N-dimethylpropionamide (DMP)) on the hindered rotation of N-C(S) bond of TA was investigated by the nmr spectroscopy. The $^1H$-nmr spectrum of $NH_2$ group in TA was distinctly separated into two peaks with increasing the amount of $CCl_4$ and the effect of amides on the peak separation was in the order of DMF < DMA < DMP. Those phenomena were interpreted in terms of hydrogen-bonding between TA and amide.

• Journal of applied mathematics & informatics
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• v.28 no.3_4
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• pp.1025-1034
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• 2010

Let {$X_n$, $n\;{\in}\;\mathbb{Z}_+^d$} be a field of identically distributed and negatively associated random variables with mean zero and set $S_n\;=\;{\sum}_{k{\leq}n}\;X_k$, $n\;{\in}\;\mathbb{Z}_+^d$, $d\;{\geq}\;2$. We investigate precise asymptotics for ${\sum}_n|n|^{r/p-2}P(|S_n|\;{\geq}\;{\epsilon}|n|^{1/p}$ and ${\sum}_n\;\frac{(\log\;|n|)^{\delta}}{|n|}P(|S_n|\;{\geq}\;{\epsilon}\;\sqrt{|n|\log|n|)}$, ($0\;{\leq}\;{\delta}\;{\leq}\;1$) as ${\epsilon}{\searrow}0$.