• Honam Mathematical Journal
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• v.35 no.4
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• pp.701-706
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• 2013

Summation theorems for hypergeometric series $_2F_1$ and generalized hypergeometric series $_pF_q$ play important roles in themselves and their diverse applications. Some summation theorems for $_2F_1$ and $_pF_q$ have been established in several or many ways. Here we give a proof of Watson's classical summation theorem for the series $_3F_2$(1) by following the same lines used by Rakha [7] except for the last step in which we applied an integral formula introduced by Choi et al. [3].

• Communications of the Korean Mathematical Society
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• v.22 no.4
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• pp.509-512
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• 2007

We aim at deriving Gauss's second summation theorem for the series $_2F_1(1/2)$ by using Euler's integral representation for $_2F_1$. It seems that this method of proof has not been tried.

• Journal of the Korean Statistical Society
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• v.7 no.1
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• pp.3-10
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• 1978

Let $X_i,...,X_n$ be a random sample from a distribution with cumulants $K_1, K_2,...$. The statistic $t = \frac{\sqrt{x}(\bar{X}-K_1)}{S}$ has the well-known 'student' distribution with $\nu = n-1$ degrees of freedom if the $X_i$ are normally distributed (i.e., $K_i = 0$ for $i \geq 3$). An Edgeworth series expansion for the distribution of t when the $X_i$ are not normally distributed is obtained. The form of this expansion is Prob $(t

• Reproductive and Developmental Biology
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• v.28 no.4
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• pp.211-219
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• 2004

The effects of adenosine 5'-triphosphate (ATP) and ATP analogs, P/sub 2y/ purinoceptor agonists, on growth of normal mouse mammary epithelial cells (NMuMG) were examined. Cells were plated onto 24 well plates in DMEM supplemented with 10 % fetal calf serum. After serum starvation for 24 hours, ATP, P/sub 2y/ purinoceptor agonists (AdoPP[NH]P, ATP-α-S, ATP-γ-S, β, γ-me-ATP and 2me-S-ATP), P/sub 2u/ purinoceptor agonist (UTP) and P/sub 2y/ purinoceptor antagonists (Reactive Blue 2, more selective to P/sub 2y/ receptor than PPADS; PPADS) were added. DNA synthesis was estimated as incorporation of 3H-thymidine into DNA (1 hour pulse with 1 μ Ci/ml, 18～19 hours after treatment). ATP, Adopp[NH]P, ATP-α-S or ATP-γ-S, significantly increased DNA synthesis at 1, 10 and 100 μM concentrations with dose-dependency (P<0.05), and the maximum responses of ATP and ATP analogs were shown at 100 μM concentration (P<0.05). The potency order of DNA synthesis was ATP≥ATP- γ -S>Adopp [NH]P>ATP-α-S. β, γ -me-ATP, 2me-S-ATP and UTP did not increase DNA synthesis. In autoradiographic analysis of percentage of S-phase cells, similar results were observed to those of DNA synthesis. Addition of 1, 10 or 100 μM Reactive Blue 2 or PPADS significantly decreased ATP (100 μM)-induced DNA synthesis, however, PPADS was less effective than Reactive Blue 2. In Elvax 40P implant experiment, ATP directly stimulated mammary endbud growth in situ suggesting the physiological regulator of ATP in mammary growth. ATP 100 μM rapidly increased MAPK activity, reaching a maximum at 5 min and then gradually decreasing to the base level in 30 min. ATP analogs, Adopp[NH]P and ATP-γ-S also increased MAPK activity, however, β, γ-me-ATP and 2me-S-ATP did not. The inhibitor of the upstream MAPK kinase (MEK), PD 98059 (25 μM), effectively reduced ATP (100 μM) or EGF(10 ng/ml, as positive control)-induced MAPK activity and DNA synthesis (P<0.05). These results indicate that ATP-induced DNA synthesis was prevented from the direct inhibition of MAPK kinase pathway. Overall results support the hypothesis that the stimulatory effects of normal mouse mammary epithelial growth by addition of ATP or ATP analogs are mediated through mammary tissue specific P/sub 2y/ purinoceptor subtype, and MAPK activation is necessary for the ATP-induced cell growth.

• Journal of Environmental Health Sciences
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• v.22 no.3
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• pp.1-7
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• 1996

Polychlorinated Biphenyls(PCBs)의 생물학적 처리가 시도되고 있으며, PCBs를 분해할 수 있는 미생물을 이용할 수 있다. 따라서 본 연구에서는 폐기된 절연유의 생물학적 처리를 위하여 PCBs를 분해하는 균을 분해하였으며, 분해된 균을 이용하여 절연유 내의 Polychlorinated Biphenyls(PCBs) 분해를 회분식 실험에서 연구하였다. 대구의 신천으로부터 유일한 탄소원으로 Biphenyl을 포함하고 있는 고체배지에서 PCBs를 분해할 수 있는 Pseudomonas sp. P2 균주를 분해하였다. PCBs의 용해도를 높이기 위해 사용된 유화제 alkyl aryl ethoxylated phosphate가 200 mg/L에서는 Pseudomonas sp. P2 균주의 성장에 영향을 미치지 않았다. 1000 mg/L의 Biphenyl과 PCBs에 Pseudomonas sp. P2를 접종하여 160시간 배양후에 Biphenyl과 PCBs의 분해가 각각 97.5%, 58.0%였다. Biphenyl 1000 mg/L에서 최대성장율($\mu_{max}$)은 0.34 $day^{-1}$, 0.26 였다. 따라서 염소가 결합되지 않은 Biphenyl는 염소가 결합된 PCBs보다 분해가 빠르게 진행되었다. 또한 Pseudomonas sp. P2는 Biphenyl과 PCBs의 분해로 부터 유도된 황색의 분해대사산물을 확인하였다. 본 연구에서는 Pseudomonas sp. P2 균주가 절연유 내의 PCBs를 분해할 수 있다는 것을 확인하였다.

• Honam Mathematical Journal
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• v.38 no.2
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• pp.243-257
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• 2016

If we let $L(2K;n):=\sum_{s=0}^{k-1}(^{2k}_{2s+1})\sum_{m=1}^{n-1}{\sigma}_{2k-2s-1,1}(m;2){\sigma}_{2s+1,1}(n-m;2)$ with $${\sigma}_{k,l}(n;2):=\sum\limits_{{d{\mid}n}\atop{d{\equiv}l(mod2)}}d^k$$, then we get the formula of L(2u; p)L(2v; p)L(2w; p).

• Bulletin of the Korean Mathematical Society
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• v.58 no.4
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• pp.837-851
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• 2021

Let R ⊆ L ⊆ S be ring extensions. Two star operations ${\ast}_1{\in}Star(R,S)$, ${\ast}_2{\in}Star(L,S)$ are said to be linked if whenever $A^{{\ast}_1}= R^{{\ast}_1}$ for some finitely generated S-regular R-submodule A of S, then $(AL)^{{\ast}_2}=L^{{\ast}_2}$. We study properties of linked star operations; especially when ${\ast}_1$ and ${\ast}_2$ are strict star operations. We introduce the notion of Prüfer star multiplication extension ($P{\ast}ME$) and we show that under appropriate conditions, if the extension R ⊆ S is $P{\ast}_1ME$ and ${\ast}_1$ is linked to ${\ast}_2$, then L ⊆ S is $P{\ast}_2ME$.

• The Korean Journal of Food And Nutrition
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• v.19 no.4
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• pp.473-481
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• 2006

This study was carried out to investigate the properties of cucumber kimchi prepared with different minor ingredients(potato, puchu). Acidity, pH, color value, hardness, and lactic acid bacteria were measured under the condition of $10^{\circ}C$ for 25 days. Five conditions of making cucumber kimchi included: cucumber kimchi with puchu 300g(treatment 1, control), cucumber kimchi with potato 90g, puchu 210 g(treatment 2, 5-1), cucumber kimchi with potato 150g, puchu 150 g(treatment 3, S-2), cucumber kimchi with potato 210g, puchu 90 g(treatment 4, S-3), cucumber kimchi with potato 270g, puchu 30g(treatment 5, S-4). Hardness of cucumber kimchi appeared higher values as the potatoe's volume increased(S-1, S-2, S-3, S-4), during all fermentation days. The results showed very significant values in pH(p<0.001), acidity(p<0.001), 'L' of lightness(p<0.05), hardness(p<0.001), lactic acid bacteria(p<0.001) according to fermentation. And the results showed very significant values in 'a' of redness(p<0.01), hardness(p<0.001) according to cucumber kimchi samples. These results showed that fermentation patterns of cucumber kimchi were influenced by the different minor ingredients used.

• Korean Journal of Crystallography
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• v.2 no.1
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• pp.12-16
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• 1991

C18H22N4OS, Mr=342.47, monoclinic, P2₁/c,a=11.802(2), b=31.962(2), c=9.829(2)A, β=100.12(1)˚, V=3694.8A3,F(000)=1472, Z=8, Dx=1.246 Mg m-3, Dm=1.17Mg m-3,λ=0.71073 A, μ=0.15mm-1, T=294 K. final R=0.0856 for 3718 observed reflection (Fo>3σ(Fo)) There are two molecules in an asymmetric unit and a major difference between these molecules is in the C(9)-N(1)-C(6)-C(7) torsion angles [58.8(8)˚and 1(1)˚]. Both molecules have intramolecular N(1)-H(10)'N(3) hydrogen bonds [ 2.613(7) and 2.566(7) A] and assume V-shaped conformation with N(2) atoms at the verices. The two independent molecules are linked by the two N(2)-H(11)'S' hydrogen bonds[3.367(5) A and 3.421(4)A] and the dimergen are held together by van der Waals forces.

• Preventive Nutrition and Food Science
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• v.2 no.1
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• pp.61-65
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• 1997

Wild type nodulin 26(nod 26) cDNA(S262) and phodphorylation aite mutant(S262D) were constructed by a yeast expression system using pYES2 plasmids(pTES2-D262 and pTES2-S262D) were sc-reened by restriction mapping with BamHI of KpnI. S262 nod 26 contained a sreine residue at position 262 and S262D nod 26 contained the substitution mutation of serine to aspartic acid residue at position 262 were verified by automated floursent DNA sequencing.