• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.275-282
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• 2008

Our aim in this paper is to investigate the global attractivity of the recursive sequence $x_{n+1}$ = $\frac{\alpha-{\beta}x_{n-1}}{\gamma+g(x_n)}$ under specified conditions. We show that the positive (or zero for $\alpha$ = 0) equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients and the function g(x).

• Nutritional Sciences
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• 제9권4호
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• pp.323-329
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• 2006

To more accurately estimate vitamin A and vitamin E intake of Koreans, food composition databases of the tocopherol and carotenoid contents of Korean foods are needed. In this study, the tocopherol $(\alpha-,\;\gamma-,\;and\;\delta-)$ and carotenoid ($\alpha-carotene,\;\beta-carotene,\;\beta-ctyptoxanthin$, lutein, and zeaxanthin) contents of 12 Korean cooked combination foods commonly consumed by children in Kwangju, Republic of Korea, were determined using reversed-phase HPLC. All samples were obtained from 3 different households in Kwangju during summer, 2005. All cooked foods in this study had detectable quantities of $\alpha-tocopherol,\;\gamma-tocopherol$ except for shoegogimugook, and $\delta-tocopherol$ except for myulchibokkeum Doejigogibokkeum had the highest $\alpha-tocopherol$ content (0.64 mg/l00 g edible portion), and $\gamma-tocopherol\;and\;\delta-tocopherol$ contents of gimbab were the highest among the foods (1.01 and 0.26 mg/l00 g edible portion). $\beta-carotene$ was found in all food samples. Gimbab had the highest contents of $\alpha-carotene,\;\beta-carotene$, and lutein among Korean cooked combination foods (158.3, 266.6, and $375.4{\mu}g/100g$ edible portion). Miyukgook contained only $\beta-carotene$ ($2.5{\mu}g/100g$ edible portion). Considerable sample-to-sample variability in tocopherol and carotenoid compositions were observed in several Korean cooked combination foods included in this study. Some of these carotenoids $(\alpha-carotene,\;\beta-carotene,\;and\;\beta-cryptoxanthin)$ are vitamin A precursors. The findings of this study may be valuable for use in Korean databases as well as nutrient consumption research for vitamin A and vitamin E.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제16권4호
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• pp.327-344
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• 2009

In this paper, we deal with the following system of nonlinear singular boundary value problems(BVPs) on time scale $\mathbb{T}$ $$\{{{{{{x^{\bigtriangleup\bigtriangleup}(t)+f(t,\;y(t))=0,\;t{\in}(a,\;b)_{\mathbb{T}},}\atop{y^{\bigtriangleup\bigtriangleup}(t)+g(t,\;x(t))=0,\;t{\in}(a,\;b)_{\mathbb{T}},}}\atop{\alpha_1x(a)-\beta_1x^{\bigtriangleup}(a)=\gamma_1x(\sigma(b))+\delta_1x^{\bigtriangleup}(\sigma(b))=0,}}\atop{\alpha_2y(a)-\beta_2y^{\bigtriangleup}(a)=\gamma_2y(\sigma(b))+\delta_2y^{\bigtriangleup}(\sigma(b))=0,}}$$ where $\alpha_i$, $\beta_i$, $\gamma_i\;{\geq}\;0$ and $\rho_i=\alpha_i\gamma_i(\sigma(b)-a)+\alpha_i\delta_i+\gamma_i\beta_i$ > 0(i = 1, 2), f(t, y) may be singular at t = a, y = 0, and g(t, x) may be singular at t = a. The arguments are based upon a fixed-point theorem for mappings that are decreasing with respect to a cone. We also obtain the analogous existence results for the related nonlinear systems $x^{\bigtriangledown\bigtriangledown}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangledown\bigtriangledown}(t)$ + g(t, x(t)) = 0, $x^{\bigtriangleup\bigtriangledown}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangleup\bigtriangledown}(t)$ + g(t, x(t)) = 0, and $x^{\bigtriangledown\bigtriangleup}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangledown\bigtriangleup}(t)$ + g(t, x(t)) = 0 satisfying similar boundary conditions.

• Journal of Yeungnam Medical Science
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• 제10권2호
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• pp.360-368
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• 1993

세포막 정보전달 경로에서 수용체에 전달된 정보를 세포내로 전달하는데 조절 단백질로 알려진 GTP 결합단백질을 소외 뇌조직으로부터 정제하고 그 분자량등을 관찰하였다. 분쇄한 소의 뇌조직으로부터 세포막을 분리 해내고 1% cholate를 이용하여 세포막 단백질을 얻었으며 DEAE-Sephacel column chromatography를 시행하였다. 여기서 얻은 GTP 결합단백질은 다시 Ultrogel AcA 34 column chromatography, heptylamine-Sepharose column chromatography 순으로 실시하여 $GTP{\gamma}S$와 결합하는 단백질 분획을 모았고 활성도와 일치하는 분획을 얻었다. 전기영동으로 관찰한 결과 $Go{\alpha}$가 분자량 39,000 dalton. $G{\beta}$가 36,000 dalton인 band를 확인하였고 나머지 다른 단백질도 함께 관찰되어 heptylamine-Sepharose 분획을 다시 DEAE-Sephacel column에 적용하여 순수한 band를 구하였다. GTP 결합단백질의 활성화는 GTP가 결합될 때 ${\alpha}$부분과 결합하고 ${\beta}{\gamma}$는 떨어져 나간다. 그러므로 heptylamine-Sepharose column분획의 활성도에서 $Go{\alpha}$의 band 분획과 곡선의 활성도가 일치하고 ${\beta}$는 곡선이 하향하는 분획에서 전기영동상에 관찰되었다.

• East Asian mathematical journal
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• 제22권2호
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• pp.131-149
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• 2006

In this paper we introduce the concept of $\gamma$-preopen sets in a topological space together with its corresponding $\gamma$-preclosure and $\gamma$-preinterior operators and a new class of topology $\tau_{{\gamma}p}$ which is generated by the class of $\gamma$-preopen sets. Also we introduce $\gamma$-pre $T_i$ spaces(i=0, $\frac{1}{2}$, 1, 2) and study some of its properties and we proved that if $\gamma$ is a regular operation, then$(X,\;{\tau}_{{\gamma}p})$ is a $\gamma$-pre $T\frac{1}{2}$ space. Finally we introduce $(\gamma,\;\beta)$-precontinuous mappings and study some of its properties.

• 대한약리학회:학술대회논문집
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• 대한약리학회 2006년도 58th Annual Meeting of The Korean Society of Pharmacology
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• pp.68.2-68.2
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• 2006

• 대한수학회논문집
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• 제20권2호
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• pp.321-338
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• 2005

In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form $f(\varphi(X))\;=\;\phi(X)f(X)$, where X lie in n-variables. As a consequence, we obtain a stability result in the sense of Hyers, Ulam, Rassias, and Gavruta for many other equations such as the gamma, beta, Schroder, iterative, and G-function type's equations.

• 한국식품영양과학회지
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• 제22권1호
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• pp.96-100
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• 1993

잣 지방질을 정제 단계를 달리하여 자동산화 시키면서 토코페롤 및 카로티노이드의 변화를 살펴 보았다. 정제 단계를 거칠수록 산화 안정성이 감소되었으며 총 토코페롤의 함량은 조지방의 경우 55.51mg/100g oil이었으며 이 중 $\alpha$-토코페를 25.48mg, ${\gamma}$-토코페를 23.94mg, $\beta$-토코페를 6.99mg순으로 함유되어 있었으며 $\delta$-토코페롤은 흔적량 존재하였다. 탈검된 지방질 및 탄산된 지방질에서도 $\alpha$-토코페를이 23.85mg, 24.08mg, ${\gamma}$-토코페롤이 19.79mg, 20.04mg, 그리고 $\beta$-토코페롤은 6.12mg, 5.33mg함유되어 있었다. 카로티노이드 중 $\beta$-카로틴은 비 비누화물질 중의 0.63%이었으며 리코펜은 미량 함유되어 있었다. 지방질의 자동산화가 진행되는 동안 카로티노이드와 토코페롤은 감소되었으며, 특히 자동산화의 초기과정에서 항산화제로 작용하여 상당량이 감소된 것으로 여겨졌으며 그 감소속도는 $\alpha$-토코페롤, ${\gamma}$-토코페롤 순이었다.

• 대한수학회보
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• 제40권3호
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• pp.385-397
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• 2003

In this paper, we introduce and study a system of nonlinear implicit variational inclusions (SNIVI) in real Banach spaces: determine elements $x^{*},\;y^{*},\;z^{*}\;\in\;E$ such that ${\theta}\;{\in}\;{\alpha}T(y^{*})\;+\;g(x^{*})\;-\;g(y^{*})\;+\;A(g(x^{*}))\;\;\;for\;{\alpha}\;>\;0,\;{\theta}\;{\in}\;{\beta}T(z^{*})\;+\;g(y^{*})\;-\;g(z^{*})\;+\;A(g(y^{*}))\;\;\;for\;{\beta}\;>\;0,\;{\theta}\;{\in}\;{\gamma}T(x^{*})\;+\;g(z^{*})\;-\;g(x^{*})\;+\;A(g(z^{*}))\;\;\;for\;{\gamma}\;>\;0,$ where T, g : $E\;{\rightarrow}\;E,\;{\theta}$ is zero element in Banach space E, and A : $E\;{\rightarrow}\;{2^E}$ be m-accretive mapping. By using resolvent operator technique for n-secretive mapping in real Banach spaces, we construct some new iterative algorithms for solving this system of nonlinear implicit variational inclusions. The convergence of iterative algorithms be proved in q-uniformly smooth Banach spaces and in real Banach spaces, respectively.

• 한국수학교육학회지시리즈A:수학교육
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• 제13권2호
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• pp.6-10
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• 1974

We consider 'ordinary' graphs: that is, finite undirected graphs with no loops or multiple edges. An intersection representation of a graph G is a function r from V(G), the set of vertices of G, into a family of sets S such that distinct points $\chi$$_{\alpha}$ and $\chi$$_{\beta}$/ of V(G) are. neighbors in G precisely when ${\gamma}$($\chi$$_{\alpha}$)∩${\gamma}$($\chi$$_{\beta}$/)$\neq$ø, A graph G is a rigid circuit grouph if every cycle in G has at least one triangular chord in G. In this paper we consider the main theorem; A graph G has an intersection representation by arcs on an acyclic graph if and only if is a normal rigid circuit graph.uit graph.d circuit graph.uit graph.