• 대한화학회지
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• 제35권3호
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• pp.226-232
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• 1991

수용액에서 ${\sigma}-MnO_2$(s)에 대한 다염소치환페놀류의 흡착과 산활를 조사하였다. 제안된 메카니즘중에서 ${\sigma}-MnO_2$(s)에 대한 염소치환페놀류의 흡착반응은 용액의 pH와 염소치환페놀의 농도에 의존하였다. 흡착등온선은 Langmuir등온선의 형태이었다. 흡착분배계수의 pH의존성과 염소치환페놀의 옥타놀-물 분배계수와의 직선적인 관계로부터 흡착은 연소치환페놀류의 hydrophobicity에 지배되는 것으로 보였다. ${\sigma}-MnO_2$(s)의 환원성 용해속도로부터 구한 전자전이 반응속도는 염소치환페놀류의 농도와 매질의 pH에 거의 직선적으로 의존하였다. Meta위치 염소치환페놀류의 실험적인 속도상수($K_0$)는 염소치환페녹시 라디칼의 공명효과 때문에 ortho 및 para위치는 치환체보다 크게 작았다. 이것은 흡착반응 중 이 라디칼이 생성되며, 전자전이반응이 곧 속도결정단계임을 나타내는 것이다.

• 한국식품영양과학회지
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• 제42권6호
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• pp.933-940
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• 2013

본 연구는 urea fractionation을 통하여 포화도 함량이 5.8%, 28.4%, 39.2%, 50.7%, 72.3%인 우지 alcoholysis 반응물을 제조하고, 이를 유상(oil phase)으로 ultrasonic processor 및 고압균질기를 이용하여 emulsion을 제조한 후 이에 대한 유화 안정성과 산화 안정성을 실험하였다. 유화 안정성(ES)을 관찰한 결과 ES값은 46.0(${\Sigma}$SFA5), 39.5(${\Sigma}$SFA28), 32.7(${\Sigma}$SFA39), 32.6(${\Sigma}$SFA50) 및 27.3(${\Sigma}$SFA72)로써 포화도가 낮은 emulsion일수록 높은 안정성을 보였으며, Turbiscan을 이용하여 시료 emulsion의 creaming 및 clarification 특성을 조사한 결과도 ES 결과와 유사하게 나타났다. 고압균질기로 제조한 emulsion 시료에 대하여 30일간 산화특성 및 안정성 연구를 진행한 결과, 제조한 emulsion의 hydroperoxides 함량이 1.880(${\Sigma}$SFA5), 1.267(${\Sigma}$SFA28), 1.062(${\Sigma}$SFA39), 0.342(${\Sigma}$SFA50) 및 0.153(${\Sigma}$SFA72)mg $H_2O_2/mL$로 서로 유의적 차이(p<0.05)를 나타내면서 불포화도가 높은 emulsion 시료일수록 hydroperoxide의 함량이 높았고, TBARS 값은 저장 30일에 6.229(${\Sigma}$SFA5), 6.801(${\Sigma}$SFA28), 6.246(${\Sigma}$SFA39), 4.419(${\Sigma}$SFA50) 및 4.226(${\Sigma}$SFA72) mg TBA/mL로 ${\Sigma}$SFA50과 ${\Sigma}$SFA72가 다른 emulsion 시료보다 유의적으로(p<0.05) 낮은 값을 보이며 산화 안정성이 우수하였다.

• 충청수학회지
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• 제22권1호
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• pp.89-99
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• 2009

Let $\mu$ be a finite positive Borel measure on the unit ball $B{\subset}\mathbb{C}^n$ and $\nu$ be the Euclidean volume measure such that ${\nu}(B)=1$. For the unit sphere $S=\{z:{\mid}z{\mid}=1\}$, $\sigma$ is the rotation-invariant measure on S such that ${\sigma}(S)=1$. Let $\mathcal{P}[f]$ be the invariant Poisson integral of f. We will show that there is a constant M > 0 such that $\int_B{\mid}{\mathcal{P}}[f](z){\mid}^{p}d{\mu}(z){\leq}M\;{\int}_B{\mid}{\mathcal{P}}[f](z)^pd{\nu}(z)$ for all $f{\in}L^p({\sigma})$ if and only if ${\parallel}{\mu}{\parallel_r}\;=\;sup_{z{\in}B}\;\frac{\mu(E(z,r))}{\nu(E(z,r))}\;<\;\infty$.

• Journal of applied mathematics & informatics
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• 제28권3_4호
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• pp.977-986
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• 2010

Let $X_1$, $X_2$, $\cdots$ be identically distributed negatively associated random variables with $EX_1\;=\;0$ and $E|X_1|^3$ < $\infty$. In this paper we prove $lim_{{\epsilon\downarrow}0}\;\frac{1}{-\log\;\epsilon}\sum\limits_{n=1}^\infty\frac{1}{n^2}ES_n^2I\{|S_n|\;{\geq}\;{\sigma\epsilon}n\}\;=\;2$ and $lim_{\epsilon\downarrow0}\;\epsilon^{2-p}\sum\limits_{n=1}^\infty\frac{1}{n^p}$ $E|S_n|^pI\{|S_n|\;{\geq}\;{\sigma\epsilon}n\}\;=\;\frac{2}{2-p}$ for 0 < p < 2, where $S_n\;=\;\sum\limits_{i=1}^{n}X_i$ and 0 < $\sigma^2\;=\;EX_1^2\;+\;\sum\limits_{i=2}^{\infty}Cov(X_1,\;X_i)$ < $\infty$. We consider some results of i.i.d. random variables obtained by Liu and Lin(2006) under negative association assumption.

• 대한수학회지
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• 제56권2호
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• pp.439-455
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• 2019

Let ${\Sigma}_k(p)$ be the class of univalent meromorphic functions defined on the unit disc ${\mathbb{D}}$ with k-quasiconformal extension to the extended complex plane ${\hat{\mathbb{C}}}$, where $0{\leq}k<1$. Let ${\Sigma}^0_k(p)$ be the class of functions $f{\in}{\Sigma}_k(p)$ having expansion of the form $f(z)=1/(z-p)+{\sum_{n=1}^{\infty}}\;b_nz^n$ on ${\mathbb{D}}$. In this article, we obtain sharp area distortion and weighted area distortion inequalities for functions in ${\sum_{k}^{0}}(p)$. As a consequence of the obtained results, we present a sharp upper bound for the Hilbert transform of characteristic function of a Lebesgue measurable subset of ${\mathbb{D}}$.

• 대한전자공학회논문지SD
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• 제41권9호
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• pp.107-114
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• 2004

본 논문에서는 DWA(Data Weighted Averaging) 방식의 sigma-delta 변조기에서 피드백 지연시간을 최적화 할 수 있는 DWA 구조의 블록도 및 타이밍도를 제안한다. 변조기 설계를 위하여 MATLAB 모델링으로 적분기의 최적 계수를 설정한 후 변조기의 비이상성을 고려하여 완전 차동 SC 적분기, 피드백 DAC, 9-레벨 양자화기, DWA를 설계하였다. 각 블록을 이용하여 실현된 3차 멀티비트 sigma-delta 변조기는 0.35㎛ CMOS 공정으로 칩으로 제작하였고, 동작 특성은 1.2Vp-p 825kHz의 입력 신호, 샘플링 주파수 52.8MHz에서 75dB의 SNR과 74dB의 DR을 가진다.

• 호남수학학술지
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• 제20권1호
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• pp.1-14
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• 1998

In this short note we study the torsion theories over a commutative ring R and discuss a relative dimension related to such theories for R-modules. Let ${\sigma}$ be a torsion functor and (T, F) be its corresponding partition of Spec(R). The concept of ${\sigma}$-Cohen Macaulay (abbr. ${\sigma}$-CM) module is defined and some of the main points concerning the usual Cohen-Macaulay modules are extended. In particular it is shown that if M is a non-zero ${\sigma}$-CM module over R and S is a multiplicatively closed subset of R such that, for all minimal element of T, $S{\cap}p={\emptyset}$, then $S^{-1}M$ is a $S^{-1}{\sigma}$-CM module over $S^{-1}$R, where $S^{-1}{\sigma}$ is the direct image of ${\sigma}$ under the natural ring homomorphism $R{\longrightarrow}S^{-1}R$.

• 호남수학학술지
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• 제41권2호
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• pp.381-390
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• 2019

In this paper, we introduce interesting subclasses ${\mathcal{H}}^{p,q,{\beta},{\alpha}}_{{\sigma}B}$ and ${\mathcal{H}}^{p,q,{\beta}}_{{\sigma}B}({\gamma})$ of bi-univalent functions by (p, q)-derivative operator. Furthermore, we find upper bounds for the second and third coefficients for functions in these subclasses. The results presented in this paper would generalize and improve some recent works of several earlier authors.

• Journal of Microbiology and Biotechnology
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• 제13권4호
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• pp.598-606
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• 2003

Salmonella encodes an enterotoxin (Stn) which possesses biological activity similar to the cholera toxin. Stn contributes significantly to the overall virulence of S. typhimurium in a murine model. The production of Stn is enhanced in a high-osmolarity medium and by contact with epithelial cells. In the present study, the in vitro and in vivo transcriptional regulations of the sin promoter revealed two promoters, P1 and P2. The P1 promoter identified by a primer extension analysis of stn mRNA exhibited a switching mechanism in vivo. Depending on the growth stage, transcription was initiated from different start sites termed $P1_S\;and\;P1_E$. $P1_S$, recognized by RNA polymerase containing ${\sigma}^S(E{\sigma}^S),\;and\;P1_E$, recognized by $E{\sigma}^70$, were activated during the stationary and exponential phases, respectively, while $P1_S\;and\;P1_E$ were both negatively regulated by CRPㆍcAMP and H-NS. Results revealed that $P1_S$ was the responsible promoter activated under a high osmolarity and low pH. The P2 promoter was identified 45 nucleotides downstream from $P1_E$ and negatively controlled by CRPㆍcAMP in vitro. No P2 activity was detected in vivo. The regulation of stn expression monitored using a Pstn::egfp fusion indicated that $E{\sigma}^S$ was required for the induction of stn and various factors were involved in stn regulation inside animal cells.

• East Asian mathematical journal
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• 제35권5호
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• pp.589-595
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• 2019

In this paper, we prove that a special supersingular K3 surface of Artin invariant ${\sigma}$ over a field of odd characteristic p has a model over a finite field of $p^{2{\sigma}}$ elements.