• The Pure and Applied Mathematics
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• v.25 no.1
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• pp.49-57
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• 2018

We have introduced two new notions of convexity and closedness in functional analysis. Let X be a real normed space, then $C({\subseteq}X)$ is functionally convex (briefly, F-convex), if $T(C){\subseteq}{\mathbb{R}}$ is convex for all bounded linear transformations $T{\in}B$(X, R); and $K({\subseteq}X)$ is functionally closed (briefly, F-closed), if $T(K){\subseteq}{\mathbb{R}}$ is closed for all bounded linear transformations $T{\in}B$(X, R). By using these new notions, the Alaoglu-Bourbaki-Eberlein-${\check{S}}muljan$ theorem has been generalized. Moreover, we show that X is reflexive if and only if the closed unit ball of X is F-closed. James showed that for every closed convex subset C of a Banach space X, C is weakly compact if and only if every $f{\in}X^{\ast}$ attains its supremum over C at some point of C. Now, we show that if A is an F-convex subset of a Banach space X, then A is bounded and F-closed if and only if every element of $X^{\ast}$ attains its supremum over A at some point of A.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.1
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• pp.113-121
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• 2014

In this paper, we define an extension $f^*:[a,\;b]{\rightarrow}\mathbb{R}$ of a function $f:[a,\;b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and show that f is McShane delta integrable on $[a,\;b]_{\mathbb{T}}$ if and only if $f^*$ is McShane integrable on [a, b].

• Journal of the Chungcheong Mathematical Society
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• v.27 no.2
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• pp.327-333
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• 2014

In this paper, we define the extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of a function $f:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and show that f is Riemann delta integrable on $[a,b]_{\mathbb{T}}$ if and only if $f^*$ is Riemann integrable on [a,b].

• Biomolecules & Therapeutics
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• v.11 no.2
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• pp.151-156
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• 2003

Cornis fructus have various biological effects and major chemical components have been tannins, saponins, ursolic acids, gallic acids, linoleic acids, morronisides, cornins and loganins. The main aim of the present study is measurment the effect of chloroform extract from Cornis fructus on proliferation inhibition and Cell death. Cells were cultured in the presence of chloroform extracts from Cornis fructus for 48 h. after 48h treatment of B16/F10 melanoma cells with chloroform extracts, the cells were observed a dose-dependent inhibitions of cell viability with cell death in their proliferation. the cells were estimated cell viability, cell number, total DNA fragmentation and chromatin condensation in a dose-dependent manner. It also caused cell death as measured by cell morphology, DNA fragmentation and nucleus chromatin condensation. therefore, these results suggest that chloroform extracts from C. fructus is inhibitory proliferation and is related to cell death in this cells.

• Korean Journal of Mathematics
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• v.6 no.1
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• pp.127-135
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• 1998

Let ${\rho}(A)$ and ${\rho}(B)$ denote the orders of entire functions $A(z)$ and $B(z)$ respectively. Suppose that ${\rho}(A)$ > 1 and 0 < ${\rho}(B){\leq}\frac{1}{2}$, and that ${\rho}$(A) is not an integer. Then it is shown that every nonconstant solution $f$ of $f^{{\prime}{\prime}}+A(z)f^{\prime}+B(z)f=0$ is of infinite order if all the zeros of $A(z)$ lie in a certain angular sector depending on its genus. In addition, we investigate some growth properties of $A(z)$.

• Bulletin of the Korean Mathematical Society
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• v.53 no.4
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• pp.1105-1112
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• 2016

Describing the group of units $U({\mathbb{Z}}G)$ of the integral group ring ${\mathbb{Z}}G$, for a finite group G, is a classical and open problem. In this note, we show that $$U_1({\mathbb{Z}}[T{\times}C_2]){\sim_=}[F_{97}{\rtimes}F_5]{\rtimes}[T{\times}C_2]$$, where $T={\langle}a,b:a^6=1,a^3=b^2,ba=a^5b{\rangle}$ and $F_{97}$, $F_5$ are free groups of ranks 97 and 5, respectively.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.3
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• pp.625-630
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• 2013

In this paper, we define an extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of a function $f^*:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and show that $f$ is Henstock delta integrable on $[a,b]_{\mathbb{T}}$ if and only if $f^*$ is Henstock integrable on $[a, b]$.

• Culinary science and hospitality research
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• v.1
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• pp.91-102
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• 1995

The result of this study will be influenced on hotel food & beverage to large extent. And that is linked with want the government is pursuing. What this study focused are followings. First, this study is tried to survey the role of tourist hotel F & B as eating out industry. Second, this study analyzed the most important factors when selecting the tourist hotel F & B. Third, this study looked for the further alternatives on the issues of tourist hotel F & B. Such focuses as these can be expected various effects, and several of those are as followings. First, this study can expect the understanding on the flow of F & B in the world and the development of ingenious management strategies. Second, this study can promote the developing effort of undeveloped korean food, and have an largely effect on from the tourist hotel restaurant to deluxe restaurant, public restaurant, and home. Third, this study will provide the opportunity to confirm the role and direction of tourist hotel, which maximizing affirmative effect.

• Culinary science and hospitality research
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• v.1
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• pp.103-125
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• 1995

The result of this study well be influenced on hotel food & beverage to large extent. And that is linked with what the government is pursuing. What This study focused are followings. First, this study is tried to survey the role of tourist hotel F & B as eating out industry. Second, this study analyzed the most important factors when selecting the tourist hotel F & B. Third, this study looked for the further alternatives on the issues of tourist hotel F & B. Such focuses as these can be expected various, and several of those are as followings. First, this study can expect the understanding on the flow of F & B in the world and the development of ingenious management strategies. Second, this study can promote the developing effort of undeveloped korean food, and have an largely effect on from the tourist hotel restaurant to deluxe restaurant, public restaurant, and home. Thrid, this study will provide the opportunity to confirm the role and direction of tourist hotel, which maximizing affirmative effect.

• Journal of Nutrition and Health
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• v.27 no.6
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• pp.574-582
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• 1994

The effects of age and dietary fatty acid composition on prostagladin production was investigated in Sprague-Dawley strain male rats. Animals weighing 88.6$\pm$2.2g were fed 10% dietary fat(W/W, 20% of total energy). The P/S ratios of dietary lipid were three levels(0.5, 1, 2) and there were three different levels of n-6/n-3 fatty acid ratio(2, 4, 8) in each P/S ratio. The experimental period were 1 month and 12 months, respectively. The results of this study were as follows. As the age of rats increased, the plasma thromboxane B2 production increased, but aorta 6-keto prostaglandin F1$\alpha$ decreased. When a higher amount of n-3 fatty acid was fed in each P/S ratio, the relative percentage of linolenic acid and EPA in platelet increased.