• Journal of the Korean Mathematical Society
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• v.41 no.1
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• pp.209-229
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• 2004

Let $\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha},\;z\;{\in}\;{\mathbb{C}}^n$ be a unimodular m-homogeneous polynomial in n variables (i.e. $$\mid$s_{\alpha}$\mid$\;=\;1$ for all multi indices $\alpha$), and let $R\;{\subset}\;{\mathbb{C}}^n$ be a (bounded complete) Reinhardt domain. We give lower bounds for the maximum modules $sup_{z\;{\in}\;R\;$\mid$\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha}$\mid$$, and upper estimates for the average of these maximum moduli taken over all possible m-homogeneous Bernoulli polynomials (i.e. $s_{\alpha}\;=\;{\pm}1$ for all multi indices $\alpha$). Examples show that for a fixed degree m our estimates, for rather large classes of domains R, are asymptotically optimal in the dimension n.

• Journal of Aquaculture
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• v.11 no.1
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• pp.119-124
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• 1998

The relative effectiveness of C21-steroids and human chorionic gonadotropin(HCG) on maturation and ovulatin was investigated in vitro using the isolated oocytes or ovarian fragments from the sea bass, Lateolabrax japonicus. ${\alpha}$-hydroxy, 20${\beta}$-dihydroprogesterone(17${\alpha}$20${\beta}$OHP : 5, 50, 500, 1000ng/ml), 17${\alpha}$-hydroxy, 20${\alpha}$-dihydroprogesterone(17${\alpha}$20${\alpha}$OHP : 5, 50, 500, 1000ng/ml) and HCG (5, 50, 500IU/ml) were effective in inducing oocyte maturation, GVM (germinal vesicle migration) or GVBD(germinal vesicle breakdown), compared to control except 17${\alpha}$20${\beta}$OHP and 17${\alpha}$20${\alpha}$OHP at 5ng/ml. 17${\alpha}$20${\beta}$OHP showed the greatest effect on oocyte maturation at 50ng/ml. A combination of 17${\alpha}$20${\beta}$OHP(50ng/ml) and HCG(500IU/ml) led to a significant increase (p<0.05) in GVBD when compared with 17${\alpha}$20${\beta}$OHP or HCG alone. These findings suggest that the two in combination acts synergistically to induce GVBD. 17${\alpha}$20${\beta}$OHP (1~1000ng/ml) and HCG(1~500IU/ml) also induced ovulation in ovarian fragments at all concentrations used ; more effective at lower concentrations(1~50ng/ml or IU/ml). It was shown that HCG was more potent in inducting ovulatin than 17${\alpha}$20${\beta}$OHP.

• Journal of the Korean Mathematical Society
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• v.52 no.3
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• pp.637-647
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• 2015

For generalized continued fraction (GCF) with parameter ${\epsilon}(k)$, we consider the size of the set whose partial quotients increase rapidly, namely the set $$E_{\epsilon}({\alpha}):=\{x{\in}(0,1]:k_{n+1}(x){\geq}k_n(x)^{\alpha}\;for\;all\;n{\geq}1\}$$, where ${\alpha}$ > 1. We in [6] have obtained the Hausdorff dimension of $E_{\epsilon}({\alpha})$ when ${\epsilon}(k)$ is constant or ${\epsilon}(k){\sim}k^{\beta}$ for any ${\beta}{\geq}1$. As its supplement, now we show that: $$dim_H\;E_{\epsilon}({\alpha})=\{\frac{1}{\alpha},\;when\;-k^{\delta}{\leq}{\epsilon}(k){\leq}k\;with\;0{\leq}{\delta}&lt;1;\\\;\frac{1}{{\alpha}+1},\;when\;-k-{\rho}&lt;{\epsilon}(k){\leq}-k\;with\;0&lt;{\rho}&lt;1;\\\;\frac{1}{{\alpha}+2},\;when\;{\epsilon}(k)=-k-1+\frac{1}{k}$$. So the bigger the parameter function ${\epsilon}(k_n)$ is, the larger the size of $E_{\epsilon}({\alpha})$ becomes.

• Journal of applied mathematics & informatics
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• v.24 no.1_2
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• pp.437-448
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• 2007

Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

• The Pure and Applied Mathematics
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• v.5 no.1
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• pp.1-3
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• 1998

Let f : X longrightarrow Y be quasi-open. We show that: (1) If A $\subset$ X is open, f│A is quasi-open, (2) f : X longrightarrow f(X) is quasi-open. (3) And let $f_{\alpha}/,:X_{\alpha}$, longrightarrow $Y_{\alpha}$ be quasi-open. Then $\Pi f_{\alpha}, : \Pi X_{\alpha}$ longrightarrow $\Pi Y_{\alpha}$/ defined by {$x_{\alpha}$} longrightarrow {$f_{\alpha},({\chi}_{\alpha}$)}, is quasi-open. (4) Lastly, if $f_{i}: X_{i}$ longrightarrow Y are quasi-open, i = 1,2, then F: $X_1 \bigoplus X_2$ longrightarrow Y, defined by $F({\chi})=f_i({\chi})$, ${\chi} \in X_i$, is also quasi-open.

• Journal of the Korean Mathematical Society
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• v.39 no.5
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• pp.783-800
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• 2002

Let B denote the unit ball in $C^n$, and ν the normalized Lebesgue measure on B. For $\alpha$ > -1, define $dv_\alpha$(z) ＝ $c_\alpha$$(1-\midz\mid^2)^{\alpha}$dν(z), z $\in$ B. Here $c_\alpha$ is a positive constant such that $v_\alpha$(B) ＝ 1. Let H(B) denote the space of all holomorphic functions in B. For $p\geq1$, define the Bergman-Privalov space $(AN)^{p}(v_\alpha)$ by $(AN)^{p}(v_\alpha)$ = ${f\inH(B)$ : $\int_B{log(1+\midf\mid)}^pdv_\alpha\;<\;\infty}$ In this paper we prove that a function $f\inH(B)$ is in $(AN)^{p}$$(v_\alpha)$ if and only if $(1+\midf\mid)^{-2}{log(1+\midf\mid)}^{p-2}\mid\nablaf\mid^2\;\epsilon\;L^1(v_\alpha)$ in the case 1＜p＜$\infty$, or $(1+\midf\mid)^{-2}\midf\mid^{-1}\mid{\nabla}f\mid^2\;\epsilon\;L^1(v_\alpha)$ in the case p ＝ 1, where $nabla$f is the gradient of f with respect to the Bergman metric on B. This is an analogous result to the characterization of the Hardy spaces by M. Stoll [18] and that of the Bergman spaces by C. Ouyang-W. Yang-R. Zhao [13].

• BMB Reports
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• v.39 no.1
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• pp.1-8
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• 2006

Helicobacter pylori is the definitive carcinogen for stomach cancer and is known to induce proinflammatory cytokines, such as tumor necrosis factor-$\alpha$ (TNF-$\alpha$) and interleukin-1(IL-1) in the stomach. Based on our findings that TNF-$\alpha$ is an endogenous tumor promoter, we identified the TNF-$\alpha$ inducing protein (Tip$\alpha$) gene family, and confirmed Tip$\alpha$ and HP-MP1 as new carcinogenic proteins of H. pylori. Tip$\alpha$ protein is unique to H. pylori, and this paper shows the strong tumor promoting activity of Tip$\alpha$ gene family, in cooperation with Ras protein and its mechanisms of action in relation to NF-${\kappa}B$ activation, and discusses the carcinogenic role of Tip$\alpha$ in stomach cancer. Our recent finding showing that penicillin-binding proteins of other bacteria are weak homologues of Tip$\alpha$ is also discussed.

• Honam Mathematical Journal
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• v.40 no.1
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• pp.47-59
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• 2018

We define the $e^{\alpha}_1e^{\alpha}_3$-isotropic Smarandache curves of type-1 and type-2, the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_3$-isotropic Smarandache curve, and the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_4$-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space $\mathbb{C}^4$ and give some differential geometric properties of these Samarandache curves.

• Journal of the Korean Society of Radiology
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• v.13 no.1
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• pp.133-140
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• 2019

Triglycerides (TG) are one of the triggers of chronic inflammatory lesions in the blood vessels. In the key factors in the development of inflammatory diseases, Pro-inflammatory cytokines such as tumor necrosis factor-alpha $(TNF-){\alpha}$ and interleukin-1 beta ($IL-1{\beta}$) contribute to the development of inflammatory lesions by recruiting other immune cells in the inflamed area or causing cell necrotic death. In this study, I investigated the effect of Jurkat T lymphocytes and U937 monocytes involved in vascular inflammation development on the expression of $TNF-{\alpha}$ and $IL-1{\beta}$ on exposure to TGs. In Jurkat cells, mRNA expression of $TNF-{\alpha}$ is increased by exposure to TGs. However, the expression levels of $TNF-{\alpha}$ and $IL-1{\beta}$ were increased by TGs in U937 cells. To investigate whether inducible nitric oxide synthase (iNOS) is involved in the increase of expression of $TNF-{\alpha}$ and $IL-1{\beta}$ by TGs, treatment of W1400 (an iNOS inhibitor) resulted in recovery of expression level both $TNF-{\alpha}$ and $IL-1{\beta}$. Based on the present study, it was confirmed that the expression of $TNF-{\alpha}$ and $IL-1{\beta}$ in monocytes and T lymphocytes. This increased cytokines contribute to development of vascular inflammatory lesions. In addition, iNOS is involved in the increase of $TNF-{\alpha}$ and $IL-1{\beta}$ expression by TGs.

• Journal of Korean Ophthalmic Optics Society
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• v.6 no.1
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• pp.107-110
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• 2001

In order to estimate the UV-A line's cut efficiency it lens, it was measured the light transmittance in the 320~400nm wavelength regions. We obtained the area to integrate the light transmittance of standard CR-39 and sample in the 320~400nm wavelength regions and established ${\alpha}$, ${\beta}$ of UV-A line's cut efficiency by contrast its area. We obtained the absolute cut efficiency ${\alpha}$ CR=0.59 value of CR-39 Lens, and if ${\alpha}$ was the absolute cut efficiency value of the lens to estimate UV-A cut effect, the relative cut efficiency ${\beta}$ was $1.69{\alpha}$. It was obtained the absolute and the relative UV exclusion index through each $a=(1-{\alpha}){\times}100%$, $b=(1-{\beta}){\times}100%$.