• Korean Journal of Food Science and Technology
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• v.16 no.2
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• pp.235-241
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• 1984

Two fractions of pectinesterase from Chinese cabbage were isolated by ammonium sulfate fractionation, ion exchange chromatography on DEAE-cellulose and Sephadex G-150 gel filtration. The fraction F-A and F-B were purified approximately 340- and 10-fold. The similar salt effects and pH optima (pH 7.5-8.0) were obtained for the two pectinesterase fractions. The maximum activity of both two. fractions were obtained at 20-50mM of divalent rations and at 250mM of monovalent rations. The apparent Michaelis constant of the F-A was 0.01% for citrus pectin. The temperature optima for F-A and F-B were $48^{\circ}$ and $55^{\circ}C$, respectively and both fractions were stable in the region of pH 5.0-8.0 at room temperature. The thermal inactivation of the two fractions followed the first order reaction kinetics. From D and Z-values obtained the thermal resistance of the two fractions were characterized.

• Journal of the Korean Mathematical Society
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• v.53 no.5
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• pp.1167-1182
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• 2016

Let M be an R-module, where R is a commutative ring with identity 1 and let G(V,E) be a graph. In this paper, we study the graphs associated with modules over commutative rings. We associate three simple graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ to M called full annihilating, semi-annihilating and star-annihilating graph. When M is finite over R, we investigate metric dimensions in $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$. We show that M over R is finite if and only if the metric dimension of the graph $ann_f({\Gamma}(M_R))$ is finite. We further show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if M is a prime-multiplication-like R-module. We investigate the case when M is a free R-module, where R is an integral domain and show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if $$M{\sim_=}R$$. Finally, we characterize all the non-simple weakly virtually divisible modules M for which Ann(M) is a prime ideal and Soc(M) = 0.

• Korean Journal of Mathematics
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• v.4 no.1
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• pp.45-49
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• 1996

Let $F_0$ be the maximal real subfield of $\mathbb{Q}({\zeta}_q+{\zeta}_q^{-1})$ and $F_{\infty}={\cup}_{n{\geq}0}F_n$ be its basic $\mathbb{Z}_p$-extension. Let $A_n$ be the Sylow $p$-subgroup of the ideal class group of $F_n$. The aim of this paper is to examine the injectivity of the natural $mapA_n{\rightarrow}A_m$ induced by the inclusion $F_n{\rightarrow}F_m$ when $m>n{\geq}0$. By using cyclotomic units of $F_n$ and by applying cohomology theory, one gets the following result: If $p$ does not divide the order of $A_1$, then $A_n{\rightarrow}A_m$ is injective for all $m>n{\geq}0$.

• Kyungpook Mathematical Journal
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• v.56 no.3
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• pp.737-743
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• 2016

Let a and b be two ideals of a commutative Noetherian ring R, M a finitely generated R-module and i an integer. In this paper we study formal local cohomology modules with respect to a pair of ideals. We denote the i-th a-formal local cohomology module M with respect to b by ${\mathfrak{F}}^i_{a,b}(M)$. We show that if ${\mathfrak{F}}^i_{a,b}(M)$ is artinian, then $a{\subseteq}{\sqrt{(0:{\mathfrak{F}}^i_{a,b}(M))$. Also, we show that ${\mathfrak{F}}^{\text{dim }M}_{a,b}(M)$ is artinian and we determine the set $Att_R\;{\mathfrak{F}}^{\text{dim }M}_{a,b}(M)$.

• Journal of Yeungnam Medical Science
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• v.12 no.1
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• pp.124-134
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• 1995

It is the most important to select optimal culture conditions to promote safe embryo growth in the technique of human in vitro fertilization and embryo transfer. It has been shown that the addition of biologic fluids, such as blood serum, of various origins, improved fertilization and early cleavage rates in numerous species. The purpose of this study is to attempt to measure developmental potential of mouse eggs fertilized and cleaved in Ham's F10 culture medium containing a chelating agent, EDTA and fetal cord serum. In this study, we selected 40 female mice and 20 male mice, and investigated optimal serum concentrations for mouse embryo growth. Two cell stage mouse embryos were cultured in Ham's F-10 medium, Ham's F-10 medium with various concentrations of EDTA, or Ham's F-10 medium with EDTA and 10% human cord serum. Developmental ratios to morula in Ham's F-10 medium containing various concentrations of EDTA and/or 10% fetal cord serum were significantly higher than in unsupplemented Ham's F-10 medium (p<0.05). Developmental ratios to blastocyst in Ham's F-10 containing 10% fetal cord serum and $50{\mu}M$ or $100{\mu}M$ EDTA were significanltly higher than in unsupplemented Ham's F-10 medium (p<0.05). Developmental ratios to morula in Ham's F-10 containing 10% fetal cord serum and $100{\mu}M$ EDTA were significanltly higher than in Ham's F-10 with 10% fetal cord serum used commonly in many human IVF centers(p<0.05). Developmental ratio to blastocyst in Ham's F-10 containing 10% fetal cord serum and $100{\mu}M$ EDTA was significanlty higher than in Ham's F-10 with $200{\mu}M$ EDTA(P<0.05). In summary, embryo development to morula and blastocyst was significanlty higher in the presence of human cord serum or EDTA than in the unsupplemented medium. The most significanly development to morula and blastocyst was obtained at Ham's F-10 medium with $100{\mu}M$ concentration of EDTA and 10% fetal cord serum. These results suggest that Ham's F-10 medium containing 10% fetal cord serum and optimal concentrations of EDTA significantly promoted early cleavage of mouse zygotes, and these will be useful as basic data for the selection of culture medium in human in vitro fertilization.

• Bulletin of the Korean Mathematical Society
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• v.54 no.6
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• pp.2165-2182
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• 2017

Let G be a group and $\mathbb{C}$ the field of complex numbers. Suppose ${\sigma}:G{\rightarrow}G$ is an endomorphism satisfying ${{\sigma}}({{\sigma}}(x))=x$ for all x in G. In this paper, we first determine the central solution, f : G or $G{\times}G{\rightarrow}\mathbb{C}$, of the functional equation $f(xy)+f({\sigma}(y)x)=2f(x)+2f(y)$ for all $x,y{\in}G$, which is a variant of the quadratic functional equation. Using the central solution of this functional equation, we determine the general solution of the functional equation f(pr, qs) + f(sp, rq) = 2f(p, q) + 2f(r, s) for all $p,q,r,s{\in}G$, which is a variant of the equation f(pr, qs) + f(ps, qr) = 2f(p, q) + 2f(r, s) studied by Chung, Kannappan, Ng and Sahoo in [3] (see also [16]). Finally, we determine the solutions of this equation on the free groups generated by one element, the cyclic groups of order m, the symmetric groups of order m, and the dihedral groups of order 2m for $m{\geq}2$.

• Journal of the Korean Magnetics Society
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• v.3 no.2
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• pp.115-120
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• 1993

The relationship between magnetic parameter and microwave absorbing performance evaluation factor of electomagnetic wave absorber such as matching frequency, matching thickness were investigated for Ni-Zn ferrite composites. It was identified that the maximum value of ${\mu}_{r}$" is shift to low frequency with decrese Ni/Zn ratio and the value of ${\mu}_{r}$" is maximum in the case of Ni/Zn=1. All Ni-Zn ferrite composites in this study have two matching frequencies in 1-12 GHz frequency. It can be suggested that $f_{m1}$ is proportional to resonance frequency and $f_{m2}$ is proportional to the saturation magnetization.

• Journal of the Korean Society of Costume
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• v.51 no.4
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• pp.43-56
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• 2001

Articles on fashion of major daily newspapers for about one years after I.M.F. system were analyzed. The influence of I.M.F. system, values, the importance of costumes at economic crisis were studied through fashion at that time. The major conclusions of the study are as follows : 1. Costumes made in Korea, national brands In Korean words, practical styles, multi-functional design, economic tastes and mixed fashions were emphasized. 2. The sound and patriotic values were pursued through domestic fashion and creative ideas were developed to overcome economic crisis. 3. The meaning of costumes was still important under shrink of consumption. Costumes were useful tools to estimate ability and express aesthetic appreciation. The sound fashion trends under I.M.F. system reflect the reflection on overconsume and the will to overcome economic crisis. Such trends should be fixed for the establishment of economic prosperity for the nation.

• IE interfaces
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• v.21 no.3
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• pp.254-261
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• 2008

Connected-(r,s)-out of-(m,n) : F system is an important topic in redundancy design of the complex system reliability and it's maintenance policy. Previous studies applied Monte Carlo simulation and genetic, simulated annealing algorithms to tackle the difficulty of maintenance policy problem. These algorithms suggested most suitable maintenance cycle to optimize maintenance pattern of connected-(r,s)-out of-(m,n) : F system. However, genetic algorithm is required long execution time relatively and simulated annealing has improved computational time but rather poor solutions. In this paper, we propose the ant colony optimization approach for connected-(r,s)-out of-(m,n) : F system that determines maintenance cycle and minimum unit cost. Computational results prove that ant colony optimization algorithm is superior to genetic algorithm, simulated annealing and tabu search in both execution time and quality of solution.

• The Journal of the Acoustical Society of Korea
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• v.13 no.1
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• pp.93-98
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• 1994

This study aims to find the theoretical consideration of the basic simularity rule between scale model experiment and real building as a results ; 1. In the case of room acoustics, $f_m=n\cdot{f_r}\;T_m=T_r/n\; \alpha_m(f_m)=\alpha_r(f_r)$ 2. That of sound Insulation : $TL_m(f_m)=TL_r(f_r)$