• 한국연초학회지
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• 제21권2호
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• pp.160-170
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• 1999

Purification and biochemical experiments on the carboxylesterases-III (CE-III) from the indian meal moth, Plodia interpunctella (Hubner) were carried out to understand their enzymemological characteristics. The CE-III from the fifth instar larvae was purified by means of ammonium sulfate fractionation, gel permeation choromatography and ion exchange choromatography. The optimal temperature for the reaction of the CE-III on the 4 substrates ($\alpha$-Na, $\alpha$-Nb, $\beta$-Na and $\beta$-Nb) was confirmed at 4$0^{\circ}C$. The optimal pH for the reactions on the substrates $\alpha$-Na and $\alpha$-Nb was 7.5. But the optimal pH on the substrate $\beta$-Na and $\beta$-Nb was 8.0. The optimal substrate concentration for the reactions of the CE-III was 3.16 X 10$^{-3}$ M in $\alpha$-Na and $\beta$-Nb. On the substrate $\beta$-Na and $\alpha$-Nb, the optimal substrate concentration was 1.0 X 10$^{-3}$ M for CE-III. The $V_{max}$ and $K_{m}$ values of the carboxylesterases were varied by the substrates as followings: the $V_{max}$ of CE-III was 45.9 for $\alpha$-Na, 52.6 for $\beta$-Na, 36.4 for $\alpha$-Nb, and 83.3 ($\mu$ mol/min/mg protein) for $\beta$-Nb. The $K_{m}$ of CE-III was 1.43 X 10$^{-4}$ M for $\alpha$-Na, 3.57 x 10$^{-5}$ M for $\beta$-Na, 9.17 X 10$^{-5}$ M for $\alpha$-Nb, and 7.14 X 10$^{-5}$ M for $\beta$ -Nb, respectively. The CE-III seemed to have somewhat high thermostability considering that the temperature for effective denaturation on activity was about 5$0^{\circ}C$ ～ 6$0^{\circ}C$.EX>.EX>.

• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.503-510
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• 2004

Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx = y. An interpolating operator for n vectors satisfies the equation $Tx_i\;=\;y_i,\;for\;i\;=\;1,\;2,\;\cdots,\;n$. In this paper the following is proved: Let H be a Hilbert space and L be a commutative subspace lattice on H. Let H and y be vectors in H. Let $M_x\;=\;\{{\sum{n}{i=1}}\;{\alpha}_iE_ix\;:\;n\;{\in}\;N,\;{\alpha}_i\;{\in}\;{\mathbb{C}}\;and\;E_i\;{\in}\;L\}\;and\;M_y\;=\;\{{\sum{n}{i=1}}\;{\alpha}_iE_iy\;:\;n\;{\in}\;N,\;{\alpha}_i\;{\in}\;{\mathbb{C}}\;and\;E_i\;{\in}\;L\}. Then the following are equivalent. (1) There exists an operator A in AlgL such that Ax = y, Af = 0 for all f in ${\overline{M_x}}^{\bot}$, AE = EA for all $E\;{\in}\;L\;and\;A^{*}\;=\;A$. (2) $sup\;\{\frac{{\parallel}{{\Sigma}_{i=1}}^{n}\;{\alpha}_iE_iy{\parallel}}{{\parallel}{{\Sigma}_{i=1}}^{n}\;{\alpha}_iE_iy{\parallel}}\;:\;n\;{\in}\;N,\;{\alpha}_i\;{\in}\;{\mathbb{C}}\;and\;E_i\;{\in}\;L\}\;<\;{\infty},\;{\overline{M_u}}\;{\subset}{\overline{M_x}}$ and < Ex, y >=< Ey, x > for all E in L.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.921-936
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• 2011

In this paper, our main purpose is to establish the existence of weak solutions of a weak solutions of a class of p-q-Laplacian system involving concave-convex nonlinearities: $$\{\array{-{\Delta}_pu-{\Delta}_qu={\lambda}V(x)|u|^{r-2}u+\frac{2{\alpha}}{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta},\;x{\in}{\Omega}\\-{\Delta}p^v-{\Delta}q^v={\theta}V(x)|v|^{r-2}v+\frac{2\beta}{\alpha+\beta}|u|^{\alpha}|v|^{\beta-2}v,\;x{\in}{\Omega}\\u=v=0,\;x{\in}{\partial}{\Omega}}$$ where ${\Omega}$ is a bounded domain in $R^N$, ${\lambda}$, ${\theta}$ > 0, and 1 < ${\alpha}$, ${\beta}$, ${\alpha}+{\beta}=p^*=\frac{N_p}{N_{-p}}$ is the critical Sobolev exponent, ${\Delta}_su=div(|{\nabla}u|^{s-2}{\nabla}u)$ is the s-Laplacian of u. when 1 < r < q < p < N, we prove that there exist infinitely many weak solutions. We also obtain some results for the case 1 < q < p < r < $p^*$. The existence results of solutions are obtained by variational methods.

• 대한수학회논문집
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• 제26권3호
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• pp.339-348
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• 2011

A ring R is called symmetric, if abc = 0 implies acb = 0 for a, b, c ${\in}$ R. An ideal I of a ring R is called symmetric (resp. radically-symmetric) if R=I (resp. R/$\sqrt{I}$) is a symmetric ring. We first show that symmetric ideals and ideals which have the insertion of factors property are radically-symmetric. We next show that if R is a semicommutative ring, then $T_n$(R) and R[x]=($x^n$) are radically-symmetric, where ($x^n$) is the ideal of R[x] generated by $x^n$. Also we give some examples of radically-symmetric ideals which are not symmetric. Connections between symmetric ideals of R and related ideals of some ring extensions are also shown. In particular we show that if R is a symmetric (or semicommutative) (${\alpha}$, ${\delta}$)-compatible ring, then R[x; ${\alpha}$, ${\delta}$] is a radically-symmetric ring. As a corollary we obtain a generalization of [13].

• 한국수소및신에너지학회논문집
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• 제18권2호
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• pp.116-123
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• 2007

[ $La_{0.5}Ce_{0.5}Co_{1-x}Cu_xO_{3-{\alpha}}$ ](X=0, 0.1, 0.3, 0.5) perovskites were prepared by coprecipitation method at pH 7 or pH 11 and its catalytic activity of selective CO oxidation was investigated. The characteristics of these catalysts were analyzed by $N_2$ adsorption, X-ray diffraction(XRD), SEM, $O_2$-temperature programmed desorption(TPD). The pH value at a preparation step made effect on particle morphology. The smaller particle was obtained with a condition of pH 7. The better catalytic activity was observed using catalysts prepared at pH 7 than pH 11. The maximum CO conversion of 98% was observed over $La_{0.5}Ce_{0.5}Co_{0.7}Cu_{0.3}O_{3-{\alpha}}$ at $320^{\circ}C$. Below $200^{\circ}C$, the most active catalyst was $La_{0.5}Ce_{0.5}Co_{0.9}Cu_{0.1}O_{3-{\alpha}}$, of which conversion was 92% at $200^{\circ}C$. By the substitution of Cu, the evolution of ${\alpha}$-oxygen was remarkably enhanced regardless of pH value at preparation step according to $O_2$-TPD. Among the different ${\alpha}$-oxygen species, the oxygen species evolved between $400^{\circ}C$ and $500^{\circ}C$, gave the better catalytic performance for selective CO oxidation including $La_{0.5}Ce_{0.5}CoO_3$ in which Cu was absent.

• 한국동물학회지
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• 제11권3호
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• pp.75-82
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• 1968

培養 HeLa 細胞의 酸素消費量과 Lysine 吸收에 미치는 X-線 照射의 영향을 측정하였다. 1. 200r의 X-線 照射는 酸素消費量에 아무러한 영향이 없다. 酸素消費量은 succinate, citrate, 및 $\\alpha$-ketoglutarate에 의하여 增大되며 X-線 照射群에서도 이 傾向은 同一하다. 2. 酸素消費量에 미치는 sodium azide 와 2,4-dinitrophenol 의 영향은 X-線 照射에 의하여 상당히 변화된다. 3. Lysine의 初期吸收率은 X-線 照射에 의하여 甚히 低下되며, 또한 飽和吸收量도 減少된다. 4. Glucose는 lysine의 吸收를 促進시키고, succinate는 아무러한 영향이 없으며 citrate와 $\\alpha$-ketoglutarate는 억제한다. X-線 照射는 이러한 傾向에 아무런 변화를 초래하지 않는다. 5. Lysine의 吸收에 미치는 sodium azide와 2,4-dinitrophenol의 영향은 酸素消費量에 미치는 이들의 영향과 判異하다. 이러한 傾向은 X-線 照射群에서도 대체로 동일하다.

• 대한수학회보
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• 제55권4호
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• pp.1109-1124
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• 2018

For a metric space (X, d) and ${\alpha}$ > 0. We study the structure and properties of vector-valued Lipschitz algebra $Lip{\alpha}(X,E)$ and $lip{\alpha}(X,E)$ of order ${\alpha}$. We investigate the approximate and Character amenability of vector-valued Lipschitz algebras.

• 대한화학회지
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• 제55권1호
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• pp.38-45
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• 2011

전이금속 이온인 수은(II) 및 은(I)에 대한 $\alpha$-케토안정화된 일리드화 인 $Ph_3P$=CHC(O) $C_6H_4$-X (X=Br, Ph)의 착물 반응 행동을 연구하였다. 수은(II) 착물 {$HgX_2$ [Y]} 2 ($Y_1$=4-bromo benzoyl methylene triphenyl phosphorane; X=Cl(1), Br(2), I(3), $Y_2$=4-phenyl benzoyl methylene triphenyl phosphorane; X=Cl(4), Br(5), I(6))는 $Y_1$ 및 $Y_2$를 $HgX_2$ (X=Cl, Br, I)와 각각 반응시켜 제조하였다. $\alpha$-케토안정화된 일리드화 인($Y_2$)의 은(I) 착물 [Ag$(Y_2)_2$] X(X=$BF_4$(7), OTf(8))는 이러한 일리드와 AgX(X=$BF_4$, OTf)를 아세톤에서 반응시켜 얻었다. 착물 (1)과 (4)의 결정구조를 고찰하였다. 일리드의 C-배위 이핵착물과 트랜스-구조의 착물$[Y_1HgCl_2]_2$. $CHCl_3$ (1) 및 $[Y_2HgCl_2]_2$ (4)를 형성하는 이들 반응에 대해 단결정 X-선 분석을 통해 고찰하였다. 모든 착물(1-3)은 IR, $^1H$ 및 $^{31}P$ NMR 뿐만아니라 $^{13}$CNMR을 통하여 확인하였다.

• 대한수학회보
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• 제54권6호
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• pp.1981-1990
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• 2017

Let R be a root system in $\mathbb{R}^d$ with Coxeter-Weyl group W and let k be a nonnegative multiplicity function on R. The generalized volume mean of a function $f{\in}L^1_{loc}(\mathbb{R}^d,m_k)$, with $m_k$ the measure given by $dmk(x):={\omega}_k(x)dx:=\prod_{{\alpha}{\in}R}{\mid}{\langle}{\alpha},x{\rangle}{\mid}^{k({\alpha})}dx$, is defined by: ${\forall}x{\in}\mathbb{R}^d$, ${\forall}r$ > 0, $M^r_B(f)(x):=\frac{1}{m_k[B(0,r)]}\int_{\mathbb{R}^d}f(y)h_k(r,x,y){\omega}_k(y)dy$, where $h_k(r,x,{\cdot})$ is a compactly supported nonnegative explicit measurable function depending on R and k. In this paper, we prove that for almost every $x{\in}\mathbb{R}^d$, $lim_{r{\rightarrow}0}M^r_B(f)(x)= f(x)$.

• 대한수학회지
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• 제53권4호
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• pp.929-967
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• 2016

Let p(t, x) be the fundamental solution to the problem $${\partial}^{\alpha}_tu=-(-{\Delta})^{\beta}u,\;{\alpha}{\in}(0,2),\;{\beta}{\in}(0,{\infty})$$. If ${\alpha},{\beta}{\in}(0,1)$, then the kernel p(t, x) becomes the transition density of a Levy process delayed by an inverse subordinator. In this paper we provide the asymptotic behaviors and sharp upper bounds of p(t, x) and its space and time fractional derivatives $$D^n_x(-{\Delta}_x)^{\gamma}D^{\sigma}_tI^{\delta}_tp(t,x),\;{\forall}n{\in}{\mathbb{Z}}_+,\;{\gamma}{\in}[0,{\beta}],\;{\sigma},{\delta}{\in}[0,{\infty})$$, where $D^n_x$ x is a partial derivative of order n with respect to x, $(-{\Delta}_x)^{\gamma}$ is a fractional Laplace operator and $D^{\sigma}_t$ and $I^{\delta}_t$ are Riemann-Liouville fractional derivative and integral respectively.