• 대한수학회보
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• 제35권3호
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• pp.409-420
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• 1998

In this paper as a univesal Banach space of the separable Banach spaces we investigate the complemented Banach subspaces of $_wL_{\hat {I}}$. Also, using Peck's theorem and the properties of the envelope norm of $_wL_{\hat {I}}$ we will find a canonical basis of $l_1^n, l_\infty^n$ for each n.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권4호
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• pp.319-328
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• 2011

Let $\mathbf{c}=\{c_n\}_{n{\in}\mathbb{Z}}\in{\ell}^1(\mathbb{Z})$ and $\{f_n\}_{n{\in}\mathbb{Z}}$ be a frame (Riesz basis, respectively) of $L^2(\mathbb{R})$. We obtain necessary and sufficient conditions of $\mathbf{c}$ under which $\{\mathbf{c}{\ast}_{\lambda}f_n\}_{n{\in}\mathbb{Z}}$ becomes a frame (Riesz basis, respectively) of $L^2(\mathbb{R})$, where ${\lambda}$ > 0 and $(\mathbf{c}{\ast}_{\lambda}f)(t)\;:=\;{\sum}_{n{\in}\mathbb{Z}}c_nf(t-n{\lambda})$. When $\{\mathbf{c}{\ast}_{\lambda}f_n\}_{n{\in}\mathbb{Z}}$ becomes a frame of $L^2(\mathbb{R})$, we present its frame operator and the canonical dual frame in a simple form. Some interesting examples are included.

• 정보보호학회논문지
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• 제20권5호
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• pp.11-22
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• 2010

최근 Fan과 Dai는 이진체 곱셈기의 효율성을 개선하기 위하여 Shifted Polynomial Basis(SPB)를 제안하고 이를 이용한 non-pipeline 비트-병렬 곱셈기를 제안하였다. SPB는 PB에 {1, ${\alpha}$, $\cdots$, ${\alpha}^{n-l}$}에 ${\alpha}^{-\upsilon}$를 곱한 것으로, 이 둘 사이는 매우 적은 비용으로 쉽게 기저 변환이 된다. 이후 삼항 기약다항식 $f(x)=x^n+x^k+1$을 사용하여 Modified Shifted Polynomial Basis(MSPB) 기반의 SPB 비트-병렬 Mastrovito type I과 type II 곱셈기가 제안되었다. 본 논문에서는 SPB를 이용한 비트-병렬 곱셈기를 제안한다. n ${\neq}$ 2k 일 때 제안하는 곱셈기 구조는 기존의 모든 SPB 곱셈기와 비교하여 효율적인 공간 복잡도를 가진다. 또한, 기존의 가장 작은 공간 복잡도를 가지는 곱셈기와 비교하여 1 ${\leq}$ k ${\leq}$ (n+1)/3인 경우 항상 효율적이다. 또한, (n+2)/3 $\leq$ k < n/2인 경우에도 일분 경우를 제외하고 기존 결과보다 항상 작은 공간 복잡도를 가진다.

• 대한수학회보
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• 제43권1호
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• pp.77-80
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• 2006

Let K be a number field, $K_n$ its ray class field with conductor n and L a Galois extension of K containing $K_n$. We prove that $L/K_n$ has a relative integral basis (RIB) under certain simple condition. Also we reduce the problem of the existence of a RIB to a quadratic extension of $K_n$ under some condition.

• Archives of Pharmacal Research
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• 제25권1호
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• pp.11-24
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• 2002

The antitumor antibiotic (+)-CC-1065 can alkylate N3 of guanine in certain sequences. A previous high-field $^1H$ NMR study on the$(+)-CC-1065d[GCGCAATTG*CGC]_2$ adduct ($^*$ indicates the drug alkylation site) showed that drag modification on N3 of guanine results in protonation of the cross-strand cytosine [Park, H-J.; Hurley, L. H. J. Am. Chem. Soc.1997, 119,629]. In this contribution we describe a further analysis of the NMR data sets together with restrained molecular dynamics. This study provides not only a solution structure of the (+)-CC-1065(N3- guanine) DNA duplex adduct but also new insight into the molecular basis for the sequence- specific interaction between (+)-CC-1065 and N3-guanine in the DNA duplex. On the basis of NOESY data, we propose that the narrow minor groove at the 7T8T step and conformational kinks at the junctions of 16C17A and 18A19T are both related to DNA bending in the drugDNA adduct. Analysis of the one-dimensional $^1H$ NMR (in $H_2O$) data and rMD trajectories strongly suggests that hydrogen bonding linkages between the 8-OH group of the (+)-CC-1065 A-sub-unit and the 9G10C phosphate via a water molecule are present. All the phenomena observed here in the (+)-CC-1065(N3-guanine) adduct at 5'$-AATTG^*$are reminiscent of those obtained from the studies on the (+)-CC-1065(N3-adenine) adduct at $5'-AGTTA^*$, suggesting that (+)-CC-1065 takes advantage of the conformational flexibility of the 5'-TPu step to entrap the bent structure required for the covalent bonding reaction. This study reveals a common molecular basis for (+)-CC-1065 alkylation at both $5'-TTG^*$ and $5'-TTA^*$, which involves a trapping out of sequence-dependent DNA conformational flexibility as well as sequence-dependent general acid and general base catalysis by duplex DNA.

• 상하수도학회지
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• 제13권4호
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• pp.54-61
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• 1999

SBR process used to evaluate the removal of organics, nitrogen and phosphorus on the basis of a report of research on a precedence at various operation cycle and condition change. Effluent concentration of COD were 50mg/l, 50mg/l, 90mg/l respectively, The removal rates of COD were nearly over 95% at Run 1, 2 and 4. But at Run 3, Effluent concentration of COD was 255.0mg/l, The removal rate of COD was 87% at Run 3. As Oxic/Anoxic rate was fixed and operating cycle of Oxic/Anoxic was changed, the removal rates of T-N were 74.7%, 46.9%, 28.5%, 63.3% respectively at Run 1~4. The case of Run 1 was best result. The removal rates of T-P was appeared in proportion to T-N removal rates and rest of $NO_2-N$. The removal rates of T-P were 51.2%, 35.5%, 41.5%, 51.9% respectively. The removal rates of COD, T-N, T-P were influenced on the change of SBR operation cycle. As organic loading rate was $1.43kgCOD/m^3day$ and C/N ratio was 3.0, operation cycle of Run 1 was best condition of T-N removal rates and T-P removal.

• 대한수학회지
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• 제38권3호
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• pp.503-521
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• 2001

A change of Finsler metric L(x,y)longrightarrowL(x,y) is called a Randers change of L, if L(x,y) = L(x,y) +$\rho$(x,y), where $\rho$(x,y) = $\rho$(sub)i(x)y(sup)i is a 1-form on a smooth manifold M(sup)n. Let us consider the special Randers change of Finsler metric LlongrightarrowL = L + $\beta$ by $\beta$. On the basis of this special Randers change, the purpose of the present paper is devoted to studying the conditions for Finsler space F(sup)n which are transformed by a special Randers change of Finsler spaces F(sup)n with ($\alpha$,$\beta$)-metrics of Douglas type to be also of Douglas type, and vice versa.

• 한국농공학회논문집
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• 제54권4호
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• pp.55-63
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• 2012

This study was performed to investigate the stream water quality characteristics in Hengjeong Bridge Basin of Dongjin River during twelve months from October, 2010 to September, 2011. Also, pollutant loads were calculated on the basis of the water quality and runoff results. The results showed that ranges of water temperature, pH and EC were $6.2{\sim}23.90^{\circ}C$, 6.32~7.78, $84.4{\sim}126.5{\mu}S/cm$ respectively. The Concentration of DO, BOD, COD, SS, Tot-N and Tot-P were observed as 6.80~9.20 mg/L, 0.40~1.60 mg/L, 1.96~4.41 mg/L, 59.60~142.20 mg/L, 1.28~3.52 mg/L, 0.001~0.07 mg/L respectively. Tot-N showed correlativity with BOD, and Tot-P showed correlativity with SS. The runoff pollutant loading of Tot-N and Tot-P were 117.94 kg/ha and 2.06 kg/ha respectively, in Hengjeong bridge of Dongjin river watershed. In the case of the correlativity between runoff pollutant loads and concentrations, Tot-N and Tot-P show low significant relationships.

• 한국농공학회논문집
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• 제48권4호
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• pp.77-86
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• 2006

This study was performed to investigate the stream water quality characteristics in the Dowoncheon basin of Dongjin River during the 12 months from January to December in 2005. Also, pollutant loads were calculated on the basis of the water quality and runoff results. The measured pH and EC of the stream water were ranged 6.48-7.32, $18.06{\sim}38.60{\mu}S/cm$, respectively. The concentration of DO, BOD, COD, SS, T-N and T-P were observed as 4.90-11.50 mg/L, 0.5-6.0 mg/L, 1.22-18.46 mg/L, 1.0-2,124.0 mg/L, 1.35-5.67 mg/L, 0.02-0.43 mg/L respectively. T-N showed low correlativity with other water quality parameters. However, T-P had very high correlativity with COD and SS. In the meantime, the runoff pollutant loads of T-N, T-P were estimated as 72,114 kg/yr, 5,027 kg/yr. In the case of the correlativity between runoff pollutant loads and concentrations, T-N did not show significant relationships, while T-P had significant relationships.

• 농약과학회지
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• 제11권2호
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• pp.82-86
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• 2007

포도나무 잎의 메탄올 추출물을 n-hexane, ethylacetate, n-butanol $H_2O$으로 순차적으로 용매분획 하였다. Ethylacetate 분획으로부터 silica gel chromatography와 재결정하여 활성물질을 분리 정제하였다. 이 화합물의 화학구조를 EI-MS의 조각 데이터를 근거로 분석한 결과 betulin으로 구조결정 되었다. 이 화합물이 고추 역병균(Phytophthora capsici), 고추 탄저병균(Colletotrichum acutatum)에 대한 항균활성(in vitro)을 측정한 결과, 100 ${\mu}g\;mL^{-1}$에서 각각 52.1%, 40.8%의 균사생육 억제효과를 보였으나, 잔디 마름병(Rhizoctonia solani) 균의 균사생육 억제 효과는 나타나지 않았다.