• Kyungpook Mathematical Journal
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• v.56 no.1
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• pp.69-81
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• 2016

For a positive integer k, a k-rainbow dominating function of a digraph D is a function f from the vertex set V (D) to the set of all subsets of the set $\{1,2,{\ldots},k\}$ such that for any vertex $v{\in}V(D)$ with $f(v)={\emptyset}$ the condition ${\cup}_{u{\in}N^-(v)}$ $f(u)=\{1,2,{\ldots},k\}$ is fulfilled, where $N^-(v)$ is the set of in-neighbors of v. A set $\{f_1,f_2,{\ldots},f_d\}$ of k-rainbow dominating functions on D with the property that $\sum_{i=1}^{d}{\mid}f_i(v){\mid}{\leq}k$ for each $v{\in}V(D)$, is called a k-rainbow dominating family (of functions) on D. The maximum number of functions in a k-rainbow dominating family on D is the k-rainbow domatic number of D, denoted by $d_{rk}(D)$. In this paper we initiate the study of the k-rainbow domatic number in digraphs, and we present some bounds for $d_{rk}(D)$.

• Communications of the Korean Mathematical Society
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• v.20 no.4
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• pp.641-644
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• 2005

Let L/F be a Galois quadratic extension such that F contains a primitive n-th root of 1. Let N = L(${\alpha}^{{\frac{1}{n}}$) where ${\alpha}{\in}L{\ast}$. We show that if $N_{L/F}({\alpha})\;{\in}L^n{\cap}F$, and [N : L] = m, then $G(N/ F) {\simeq}D_m$ or generalized quaternion group whether $N_{L/F}({\alpha})\;{\in}\;F^n\;or\;{\notin}F^n$, respectively.

• Proceedings of the Korean Magnestics Society Conference
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• 2003.06a
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• pp.204-205
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• 2003

Nano 결정립 N $d_2$F $e_{l4}$B+F $e_3$B 복합상 자성 리본은 Extractive melt spinner의 wheel speed를 달리하여 제조하였다. 초기 조성은 N $d_4$F $e_{77.5}$ $B_{18.5}$이고, 이후 제조한 자성 리본의 자기특성은 VSM 및 AGM(Alternating gradient magnetometer)으로 측정하였다. wheel speed 1500rpm, $650^{\circ}C$에서 10분간 열처리한 자성 리본에서 $B_{r}$ = 11.73 kG, $_{i}$ $H_{c}$ = 3.082 kOe, (BH)$_{max}$ = 12.28 MGOe의 자기특성이 나타났다. 이러한 자기특성 원인 규명을 위해 $\delta$M plot과 뫼스바우어 분광학을 사용하였다. $\delta$M plot을 통해 exchange coupling은 초미세립 복합상의 잔류자속밀도에 큰 영향을 미치는 것으로 판단된다. 또한, 뫼스바우어 분광학을 통해 경자성상(N $d_2$F $e_{l4}$B)과 연자성상 F $e_3$B의 부피분율비가 7:3 정도일 때 가장 최적의 자기특성을 발현하였다. 이 경우에 초미세립 복합상의 상호작용력이 가장 크게 발현하는 것으로 판단된다.단된다..된다..된다..

• Journal of Korean Society of Environmental Engineers
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• v.35 no.1
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• pp.38-44
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• 2013

To construct the system controlling the aeration volume for D wastewater treatment plant effectively, the fluctuation of aeration volume was analyzed with changes of factors of the influent. As a result, the range of aeration volume was wide to maintain the certain concentration of DO, and the key factor to decide the aeration volume was found to be the temperature, F/M ratio, the loading rate of $BOD_5$ and T-N of the influent. Among the factors, the temperature of the influent had the most decisive effect on the aeration volume. The result showed that $45.8m^3/h$ of the aeration volume was needed with an increase of $1^{\circ}C$ of the influent, and the effect of the season was considered. Since the temperature of the influent is affected by a change of season, same as F/M ratio, the loading rate of the influent and the concentration of MLSS, it seemed that the change of the temperature of the influent affects the aeration volume even more. Therefore, it is preferable to consider the loading rate of the influent and F/M ratio altogether, rather than considering only one factor when deciding aeration volume.

• 한국정보디스플레이학회:학술대회논문집
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• 2004.08a
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• pp.393-394
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• 2004

To get rid of cell assembly margin and have more process room of upper substrate, we developed truly COT (Color Filter On TFF Array) LCDs in that B/M (Black Matrix) as well as C/F (Color Filter) layer is located on TFT substrate. Novel B/M material is also developed for this COT structure. Difficulty in making contact hole through C/F layer was solved by making each C/F pattern isolated from others. We think this configuration will be core technology for prominent COT LCDs.

• Journal of the Korean Statistical Society
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• v.27 no.1
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• pp.113-132
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• 1998

In this paper, we consider a minimum distance (M.D.) estimation based on kernels for U-statistics. We use Cramer-von Mises type distance function which measures the discrepancy between U-empirical distribution function(d.f.) and modeled d.f. of kernel. In the distance function, we allow various integrating measures, which can be finite, $\sigma$-finite or discrete. Then we derive the asymptotic normality and study the qualitative robustness of M. D. estimates.

• Science of Emotion and Sensibility
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• v.10 no.1
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• pp.69-77
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• 2007

This study surveys wet and dry thermal shrinkages of PET POY manufactured by domestic seven companies and foreign companies in Japan and Taiwan. These thermal shrinkages were measured by hank method (KSK 0215) and foray FTA-500 apparatus, and these measured data were analysed and discussed with measuring methods. The specimens prepared were PET POY 85d/72f and 120d/36f, furthermore, 250d/48f and 155d/50f PET POY were also prepared for comparison of wet and dry thermal shrinkages between Japan and domestic PET POY. And the wet and dry thermal shrinkages of each specimens were measured according to the each layer divided by 50,000m of the cake, and between and within thermal shrinkages were analysed and discussed with the domestic and foreign PET POY and measuring methods such as hank ant Toray methods.

• Kyungpook Mathematical Journal
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• v.49 no.3
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• pp.473-481
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• 2009

In this paper, we study the uniqueness of entire functions and prove the following theorem. Let n(${\geq}$ 5), k be positive integers, and let $S_1$ = {z : $z^n$ = 1}, $S_2$ = {$a_1$, $a_2$, ${\cdots}$, $a_m$}, where $a_1$, $a_2$, ${\cdots}$, $a_m$ are distinct nonzero constants. If two non-constant entire functions f and g satisfy $E_f(S_1,2)$ = $E_g(S_1,2)$ and $E_{f^{(k)}}(S_2,{\infty})$ = $E_{g^{(k)}}(S_2,{\infty})$, then one of the following cases must occur: (1) f = tg, {$a_1$, $a_2$, ${\cdots}$, $a_m$} = t{$a_1$, $a_2$, ${\cdots}$, $a_m$}, where t is a constant satisfying $t^n$ = 1; (2) f(z) = $de^{cz}$, g(z) = $\frac{t}{d}e^{-cz}$, {$a_1$, $a_2$, ${\cdots}$, $a_m$} = $(-1)^kc^{2k}t\{\frac{1}{a_1},{\cdots},\frac{1}{a_m}\}$, where t, c, d are nonzero constants and $t^n$ = 1. The results in this paper improve the result given by Fang (M.L. Fang, Entire functions and their derivatives share two finite sets, Bull. Malaysian Math. Sc. Soc. 24(2001), 7-16).

• Bulletin of the Korean Mathematical Society
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• v.32 no.2
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• pp.211-214
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• 1995

Let M and N be compact Riemannian manifolds and $f : M \to N$ be a smooth map. Following J. Eells, f is exponentially harmonic if it represents a critical point of the exponential energy integral $$ E(f) = \int_{M} exp(\left\$\mid$ df \right\$\mid$^2) dM $$ where $(\left\ df $\mid$\right\$\mid$^2$ is the energy density defined as $\sum_{i=1}^{m} \left\$\mid$ df(e_i) \right\$\mid$^2$, m = dimM, for orthonormal frame $e_i$ of M. The Euler- Lagrange equation of the exponential energy functional E can be written $$ exp(\left\$\mid$ df \right\$\mid$^2)(\tau(f) + df(\nabla\left\$\mid$ df \right\$\mid$^2)) = 0 $$ where $\tau(f)$ is the tension field along f. Hence, if the energy density is constant, every harmonic map is exponentially harmonic and vice versa.

• ALGAE
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• v.28 no.2
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• pp.203-211
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• 2013

Dunaliella salina and Dunaliella bardawil are well known for carotenogenesis, the overproduction of carotenoids, under stress conditions. The effect of high light (HL) and low light (LL) on the growth, morphology, photosynthetic efficiency, and the ${\beta}$-carotene and zeaxanthin production of D. salina CCAP 19/18 and D. bardawil was investigated and compared. Both strains showed similar growth kinetics under LL growth condition, but D. salina CCAP 19/18 was faster. As the light intensity increased, D. salina CCAP 19/18 cells were elongated and D. bardawil cells became larger. Both strains showed decrease of the maximum quantum yield of PSII ($F_v/F_m$) and election transport rate (ETR) under HL growth condition and D. salina CCAP 19/18 was less liable to the light stress. Both strains had about 1.8 and 5 times difference in the $O_2$ evolution rate at LL and HL conditions, respectively. The ${\beta}$-carotene and zeaxanthin production were increased as the light intensity increased in both strains. D. bardawil was more sensitive to light intensity than D. salina CCAP 19/18. The possible application of D. salina CCAP 19/18 as a carotenogenic strain will be discussed.