• 호남수학학술지
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• 제27권2호
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• pp.233-241
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• 2005

A sequence $\{f_i\}^{\infty}_{i=1}$ in a Hilbert space H is said to be exponentially localized with respect to a Riesz basis $\{g_i\}^{\infty}_{i=1}$ for H if there exist positive constants r < 1 and C such that for all i, $j{\in}N$, ${\mid}{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ and ${\mid}{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ where $\{{\tilde{g}}_i\}^{\infty}_{i=1}$ is the dual basis of $\{g_i\}^{\infty}_{i=1}$. It can be shown that such sequence is always a Bessel sequence. We present an additional condition which guarantees that $\{f_i\}^{\infty}_{i=1}$ is a frame for H.

• 대한수학회지
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• 제57권6호
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• pp.1435-1449
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• 2020

In this article we make a local classification of n-dimensional Riemannian manifolds (M, g) with harmonic curvature and less than four Ricci eigenvalues which admit a smooth non constant solution f to the following equation $$(1)\hspace{20}{\nabla}df=f(r-{\frac{R}{n-1}}g)+x{\cdot} r+y(R)g,$$ where ∇ is the Levi-Civita connection of g, r is the Ricci tensor of g, x is a constant and y(R) a function of the scalar curvature R. Indeed, we showed that, in a neighborhood V of each point in some open dense subset of M, either (i) or (ii) below holds; (i) (V, g, f + x) is a static space and isometric to a domain in the Riemannian product of an Einstein manifold N and a static space (W, gW, f + x), where gW is a warped product metric of an interval and an Einstein manifold. (ii) (V, g) is isometric to a domain in the warped product of an interval and an Einstein manifold. For the proof we use eigenvalue analysis based on the Codazzi tensor properties of the Ricci tensor.

• Molecular & Cellular Toxicology
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• 제5권3호
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• pp.207-215
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• 2009

Despite wide therapeutic use of CpG ODN against infection, allergy and cancer, the safety and toxicity of CpG ODNs were poorly delineated. Thus, we investigated whether optimal dosing of CpG ODN would affect immunotoxicological parameters in NZB/NZW F1 mice. Comparisons were made among control, non-CpG ODN and mouse CpG ODN ($10{\mu}g$)-treated groups for 4 weeks. To gauge the immunotoxicity of CpG ODNs, we measured nonspecific parameters, degree of lupus nephritis, proteinuria, or autoantibody, and cytokine expression in mRNA level of lymphocytes. We found that there were no significant differences among groups in nonspecific immunotoxicological profiles and in evaluation profiles of glomerulonephritis. However, titer of anti-dsDNA and anti-cardiolipin antibodies in mouse CpG ODN group rose three or eight-fold higher than in control group. Collectively, CpG ODN might be clinically less immunotoxic in terms of clinical profiles in lupus-prone NZB/NZW F1 mice, in spite of high autoantibody titer in CpG ODN treated groups.

• 호남수학학술지
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• 제32권1호
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• pp.167-176
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• 2010

Let (B, $\check{g}$) and (N, $\hat{g}$) be Einstein manifolds. Then, we get a complete (necessary and sufficient) condition for the warped product manifold $B\;{\times}_f\;N\;:=\;(B\;{\times}\;N,\;\check{g}\;+\;f{\hat{g}}$) to be Einstein, and obtain a complete condition for the Einstein warped product manifold $B\;{\times}_f\;N$ to be weakly stable. Moreover, we get a complete condition for the map i : ($B,\;\check{g})\;{\times}\;(N,\;\hat{g})\;{\rightarrow}\;B\;{\times}_f\;N$, which is the identity map as a map, to be harmonic. Under the assumption that i is harmonic, we obtain a complete condition for $B\;{\times}_f\;N$ to be Einstein.

• 한국초지조사료학회지
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• 제18권1호
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• pp.1-10
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• 1998

Eleven sorghun-sudangrass hybrids have been recommended as the government recommended forage cultivars, however, their forage performance and quality have mostly been tested at two regions, such as Suweon in the Middle Northwestern Coast Region and Sunghwan in the Middle Southwestern Coast Region. Therefore, the objective of this experiment was to retest the forage performance and quality of eleven government recommended sorghum-sudangrass hybrids(TE haygrazer, 988. TE haygrazer-R, SX-17, NC + 855, 855F, GW9110G, G83F, Sordan 79, Speed feed and Jumbo) at five regions, such as Icheon in the Middle Northern Inland, Suweon in the Middle Northwestern Coast, Sunghwan in the Middle Southwestern Coast, Keongsan in the Keongpook Inland and Kwangju in the Southern Inland, 1993 and 1995. Among the eleven hybrids tested, 'NC + 855' gave the highest forage yield at all regions when averaged over the two-year period, but others varied by region. 'NC + 855' was the highest yielding at Icheon, Keongsan and Kwangju, G83F was highest at Suweon and 855F was highest at Sunghwan. 'Jumbo' (headless type) was generally higher in forage quality than others, but at both Suweon and Icheon, 'NC + 855' and '855F' were higher quality than others. As the results of the experiment, 'TE haygrazer', 'NC + 855' , G83F and 'GW9110G1 at Icheon, 'G83F' and 'Sordan 79' at Suweon, 'NC + 855' and '855F' at Sunghwan, '988' and 'NC + 855' at Keongsan, and 'TE haygrazer-R' , 'NC + 855', 'GW9110G' and 'G83F' at Kwangju might be preferable to other hybrids because they have higher forage yield.

• Communications for Statistical Applications and Methods
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• 제12권3호
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• pp.545-556
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• 2005

Hjort(1990) obtained the nonparametric Bayes estimator $\^{F}_{c,a}$ of $F_0$ with respect to beta processes in the random censorship model. Let $X_1,{\cdots},X_n$ be i.i.d. $F_0$ and let $C_1,{\cdot},\;C_n$ be i.i.d. G. Assume that $F_0$ and G are continuous. This paper shows that {$\^{F}_{c,a}$(u){\|}0 < u < T} converges weakly to a Gaussian process whenever T < $\infty$ and $\~{F}_0({\tau})\;<\;1$.

• 충청수학회지
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• 제14권1호
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• pp.1-6
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• 2001

We investigate the relationships between the Gottlieb groups and the generalized Gottlieb groups, and study some properties of the generalized Gottlieb groups. Lee and Woo [5] proved that $G_n(X,i_1,X{\times}Y){\simeq_-}G_n(X){\oplus}{\pi}_n(Y)$. We can easily re-prove the above main theorem of [5] using some properties of the generalized Gottlieb groups, and obtain a more powerful result as follows; if $F{\rightarrow}^iE{\rightarrow}^pB$ is a homotopically trivial fibration, then $G_n(F,i,E){\simeq_-}{\pi}_n(B){\oplus}G_n(F)$.

• 한국식품영양과학회지
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• 제27권4호
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• pp.693-697
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• 1998

The influence of flavonols from onion skin on xanthine oxidase was investigated. Methanol extract was showed 12.8% of yield, 661.3mg% of flavonoids contents and 88.7% of inhibitory effect on xanthine oxidase F1 and F2 fractions were obtained from the methanol extract by ODS and Sephadex LH-20 chromatography. F1 and F2 fractions flavonols(3-OH free) identified by UV/visible spectroscopy. Inhibitory effect of F1 and F2 on xanthine oxidase were increased with increasing concentration. IC50s of F1 and F2 were 0.95$\mu\textrm{g}$ and 0.67$\mu\textrm{g}$, respectively. To confirm the specificity of F1 and F2 against xanthine oxidase, albumin was added to the reaction mixture. The inhibition of F1 and F2 may be due to specific binding to xanthine oxidase. The modes of their inhibitions were of mixed type with respect to xanthine as a substrate.

• KSBB Journal
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• 제13권5호
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• pp.561-568
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• 1998

Two cometabolic trichloroethylene (TC) degraders, Pseudomonas putida F1 and Burkholderia (Pseudomonas) cepacia G4, were found to catabolize phenol, benzene, toluene, and ethylbenzene as carbon and energy sources. Resting cells of P. putida F1 and B. cepacia G4 grown in the presence of toluene and phenol, respectively, were able to degrade not only benzene, toluene and ethylenzene but also TCE and p-xylene. However, these two strains grown in the absence of toluene or phenol did not degrade TCE and p-xylene. Therefore, it was tentatively concluded that cometabolic degradation of TC and p-xylene was mediated by toluene dioxygenase (P. putida F1) or toluene-2-monooxygenase (B. cepacia G4). Maximal degradation rates of BTEX and TCE by toluene- and phenol-induced resting cells of P. putida F1 and B. cepacia G4 were appeared to be 4-530 nmol/(min$.$mg cell protein) when a single compound was solely served as a target substrate. In case of double substrates, the benzene degradation rate by P. putida F1 in the presence of toluene was decreased up to one seventh of that for the single substrate. TCE degradation rate was also linearly decreased as toluene concentration increased. On the other hand, toluene degradation rate was enhanced by benzene and TCE. For B. cepacia G4, degradation rates of TCE and toluene increased 4 times in the presence of 50 ${\mu}$M phenol. From these results, it was concluded that a degradation rate of a compound in the presence of another cosubstrate(s) could not be predicted by simply generalizing antagonistic or synergistic interactions between substrates.

• 대한화학회지
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• 제42권6호
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• pp.629-637
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• 1998

$6-31+G^{\ast}^{\ast}와\;6-311+G^{\ast}^{\ast}$의 기본조를 사용해서 이합체 분자착물 FH…FH, FH…CO, FH…OC 뿐만 아니라 $(HF)_2(CO)$의 형성가능한 두가지 삼합체 분자착물들에 대해서 HF-SCF, MP2 그리고 B3LYP 계산을 수행했다. 이 삼합체 분자착물들에 대한 여러 가지 바닥상태 성질들을 구하였으며, 대응하는 단위체들과 이합체들의 성질들과 비교하였다. FH…CO가 FH…OC에 비해 평균 0.85 kcal/mol 만큼 안정했고, F-H…F-H…C≡O가 F-H…F-H…O≡C 보다 1∼2 kcal/mol 만큼 안정한 것으로 계산되었다. 삼합체 분자착물 형성에 따른 C≡O stretching band 는 그들의 이합체들(FH…CO, FH…OC)에 비해 각각 24, $37\;cm^{-1}$만큼, H-F stretching band는 각각 $54, 353\; cm^{-1}$만큼 red shift 되는 것으로 평가되었다.