• Korean Journal of Mathematics
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• v.18 no.4
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• pp.473-487
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• 2010

We investigate the existence of multiple nontrivial solutions (${\xi}$, ${\eta}$) for perturbations $g_1$, $g_2$ of the harmonic system with Dirichlet boundary condition $${\Delta}^2{\xi}+c{\Delta}{\xi}=g_1(2{\xi}+3{\eta})\;in\;{\Omega}\\{\Delta}^2{\eta}+c{\Delta}{\eta}=g_2(2{\xi}+3{\eta})\;in\;{\Omega}$$ where we assume that ${\lambda}_1$ < $c$ < ${\lambda}_2$, $g^{\prime}_1({\infty})$, $g^{\prime}_2({\infty})$ are finite. We prove that the system has at least three solutions under some condition on $g$.

• Journal of the Korean Mathematical Society
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• v.59 no.4
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• pp.757-774
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• 2022

Let a and b be positive even integers. An even [a, b]-factor of a graph G is a spanning subgraph H such that for every vertex v ∈ V (G), d_H(v) is even and a ≤ dH(v) ≤ b. Let κ(G) be the minimum size of a vertex set S such that G - S is disconnected or one vertex, and let σ₂(G) = min_uv∉E(G) (d(u)+d(v)). In 2005, Matsuda proved an Ore-type condition for an n-vertex graph satisfying certain properties to guarantee the existence of an even [2, b]-factor. In this paper, we prove that for an even positive integer b with b ≥ 6, if G is an n-vertex graph such that n ≥ b + 5, κ(G) ≥ 4, and σ₂(G) ≥ ${\frac{8n}{b+4}}$, then G contains an even [4, b]-factor; each condition on n, κ(G), and σ₂(G) is sharp.

• Journal of the Korean Society of Tobacco Science
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• v.30 no.1
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• pp.14-24
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• 2008

The objective of this study was to determine the effect of smoking conditions on the in vitro toxicological activity of mainstream smoke. The 2R4F reference cigarette was machine-smoked by International Organization for Standardization(ISO) and Canadian Intense(CI) conditions. Smoke was analysed for chemical composition and in vitro toxicity. The cytotoxic potencies of both the total particulate matter(TPM), which were collected in Cambridge filter pad, and gas/vapor phase(GVP), which was bubbled through in phosphate-buffer saline in a gas-washing bottle, were assessed neutral red up take assay with chinese hamster ovary(CHO) cells. The assessment for genotoxicity of TPMs generated under ISO and CI conditions was determined using Salmonella mutagenicity assay and in vitro micronucleus assay. When calculated on an equal TPM basis, in vitro toxicity of TPM obtained under CI condition was decreased compared to TPM generated under ISO condition. The results of chemical composition analyses revealed that the lower toxicological activity under CI condition than that of ISO condition could be explained by the decreased in the contents of phenols, N-nitrosoamines and aromatic amines of TPM on an equal TPM basis.

• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.237-250
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• 1997

In this paper, we study the asymptotic behavior of orbits ${S(t)x}$ of an asymptotically nonexpansive semigroup $S = {S(t) : t \in G}$ for a right reversible semitopological semigroup G, defined on a weakly compact convex subset C of Banach spaces with Opial's condition for any $x \in C$.

• Korean Journal of Mathematics
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• v.13 no.1
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• pp.1-11
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• 2005

The purpose of the present paper is to introduce a new concept of the E($^*{\kappa}$)-connection ${\Gamma}^{\nu}_{{\lambda}{\mu}}$, which is both Einstein and ($^*{\kappa}$)-connection, and to obtain a necessary and sufficient condition for the existence of the unique E($^*{\kappa}$)-connection in $n-^*g$-UFT. Next, under this condition, we shall obtain a surveyable tensorial representation of the unique E($^*{\kappa}$)-connection in $n-^*g$-UFT.

• Korean journal of food and cookery science
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• v.22 no.2 s.92
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• pp.164-172
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• 2006

The purpose of this study was to find the optimal mixing condition of three different amounts of pine leaf powder, butter and sugar for preparation of pine leaf cookies. The optimum mixing condition for pine leaf cookies was optimized by response surface methodology The optimum mixing rates of pine leaf powder, butter and sugar were 8.6 g, 252.8 g and 154.1 g for color, 8.4 g, 240.7 g and 149.8 g for appearance, 8.8 g, 246.5 g and 154.7 g for flavor and 10.9 g, 277.1 g and 134.6 g for texture respectively. The optimum mixture ratio which fulfilled all items was pine leaf powder 9.4 g, butter 270.5 g and sugar 141 g.

• Plant Resources
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• v.5 no.1
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• pp.78-85
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• 2002

The material of Rhodiola sachatinensis collected from an alpine region of the west-northern China. For analysing the effect, 1 used Rhodiola sachatinensis's rhizome and cultivated callus. In EtOAc, BuOH, $H_2O$ separation the plant showed strong antioxidative activity, but not in Hexane. The radical scavenging effect of EtOAc(RC$_{50}$,35(g), BuOH(RC$_{50}$, 43(g), H$_2$0(RC$_{50}$, 50(g) fraction and MeOH extract(RC$_{50}$, 50(g) of the Rhodiola sachatinensis was comparable to that of synthetic antioxidant BHA(RC$_{50}$, 14(g) and $\alpha$-Tocopherol(RC$_{50}$, 12(g). Total amino acid concentration of plant of In nature condition were 18,009ppm, and major components were arginine, glutamic acid, aspartic acid and valine. The ratio of essential/total amino acid on plant of In nature condition was 46.93%. Total amino acid concentration of callus of In vitro condition were 32,435ppm, and major components were valine, histidine, lysine and leucine. The ratio of essential/total amino acid on callus of In vitro condition was 56.07%. was 56.07%.

• Journal of the Korean Society of Food Science and Nutrition
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• v.30 no.6
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• pp.1102-1107
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• 2001

The mixing conditions of kochujang added pumpkin extract were optimized by response surface methodology. The organoleptic color of pumpkin kochujang showed the maximum score for the mixing condition of 433.63 g pumpkin extract, 81.76 g red pepper powder and 17.03 g meju powder. The organoleptic aroma of pumpkin kochujang revealed the maximum score for the condition of 437.07g pumpkin extract, 83.65 g red pepper powder and 11.90 g meju powder. The organoleptic taste of pumpkin kochujang showed the maximum score in 382.94 g pumpkin extract, 63.44 g red pepper powder and 13.10 g meju powder. The optimum mixing conditions for overall acceptability of pumpkin kochujang were 442.04 g pumpkin extract, 62.58 g red pepper powder and 16.30 g meju powder.

• Journal of applied mathematics & informatics
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• v.34 no.5_6
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• pp.435-441
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• 2016

Let G be a graph, and let g, f be two nonnegative integer-valued functions defined on V (G) with g(x) ≤ f(x) for each x ∈ V (G). A graph G is called a fractional (g, f, n)-critical graph if after deleting any n vertices of G the remaining graph of G admits a fractional (g, f)-factor. In this paper, we obtain a binding number condition for a graph to be a fractional (g, f, n)-critical graph, which is an extension of Zhou and Shen's previous result (S. Zhou, Q. Shen, On fractional (f, n)-critical graphs, Inform. Process. Lett. 109(2009)811-815). Furthermore, it is shown that the lower bound on the binding number condition is sharp.

• Journal of the Korean Society of Food Culture
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• v.20 no.1
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• pp.61-67
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• 2005

The purpose of study was to determine the organoleptic characteristics of homemade basil-pasta made in various compounding ratio according to central composite design. The optimum mixing condition for basil-pasta was optimized by response surface methodology. The texture, including color, flavor, elasticity and overall quality, was measured as sensory evaluation. The optimum mixing rates of durum wheat semolina, basil and egg were 73.97g, 5.95g and 36.17g for color, 53.14g, 4.52g and 35.85g for flavor, 48.75g, 2.95g and 36.85g for elasticity. The organoleptic overall quality of basil-pasta showed the maximum score in the mixing condition of 55.52 g durum wheat semolina, 4.55g basil paste and 35.51g egg.