• Honam Mathematical Journal
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• v.28 no.4
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• pp.485-497
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• 2006

Further properties on a fuzzy ideal of a right K(G)-algbera $\mathcal{G}$ are investigated. Using a family of ideals of a right K(G)-algebra $\mathcal{G}$ with additional conditions, a fuzzy ideal of $\mathcal{G}$ is established. Given a fuzzy set $\mu$ in $\mathcal{G}$, the least fuzzy ideal of $\mathcal{G}$ containing $\mu$ is described. Using a chain of ideals of $\mathcal{G}$, a fuzzy ideal of $\mathcal{G}$ is constructed, and their properties are investigated.

• Bulletin of the Korean Mathematical Society
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• v.33 no.1
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• pp.75-86
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• 1996

Let G be a finite simple connected graph with vertex set V(G) and edge set E(G). Let A(G) be the adjacency matrix of G. The characteristic polynomial of G is the characteristic polynomial $\Phi(G;\lambda) = det(\lambda I - A(G))$ of A(G). A zero of $\Phi(G;\lambda)$ is called an eigenvalue of G.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.337-344
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• 2011

We provide another unified proof that $A_{\gamma}(G)$ and $A_{\Delta}(G)$ are Banach algebras for a compact group G, where $A_{\gamma}(G)$ and $A_{\Delta}(G)$ are images of the convolution and the twisted convolution, respectively, on $A(G{\times}G)$. Our new approach heavily depends on analysis of co-multiplication on VN(G), the group von-Neumann algebra of G.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.4
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• pp.429-444
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• 2020

For a quadrilateral P, we consider the centroid G0 of the vertices of P, the perimeter centroid G1 of the edges of P and the centroid G2 of the interior of P, respectively. It is well known that P satisfies G0 = G1 or G0 = G2 if and only if it is a parallelogram. In this paper, we investigate various quadrilaterals satisfying G1 = G2. As a result, we establish some characterization theorems. One of them asserts the existence of convex quadrilaterals satisfying G1 = G2 without symmetry.

• Korean Journal of Poultry Science
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• v.10 no.2
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• pp.123-128
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• 1983

Fifty of one day-old chicks of silky fowl were hatched at Dept. of Animal Science, Gyeongsang National University and fifty of one day-old chicks of quails were hatched at Gim Hae, Gyung Nam. This experiment was investigated at 24 hours after incubation. Twee items investigated in this experiment were the live weights, the weights of head, eye-ball, brain, heart, liver, lung, kidney, stomach, small intestine, large intestine, and yolk sac. The results obtained are summarized as follows; 1, Average weights of body, head, eye-ball brain, heart, liver, lung, kidney, stomach, small intestine, large intesine and yolk sac of the quail chicks and standard errors were 6.54${\pm}$0.02g, 1.38${\pm}$0.l3g, 0.29${\pm}$0.004g, 0.24${\pm}$0.006g, 0.08${\pm}$0.002g, 0.21${\pm}$0.005g, 0.06${\pm}$0.002g, 0.05${\pm}$0. 002g, 0.46${\pm}$0.010g, 0.24${\pm}$0.008g, 0.10${\pm}$0.004g, and 0.28${\pm}$0.0l6g, respectively. 2. Average weights of body, head, eye-ball, brain, heart, liver, lung, kidney, stomach, small intestine, large intestine, and yolk sac of the silky fowl chicks and standard errors were 26.60${\pm}$0.491g, 4.28${\pm}$0.071g, 0.64${\pm}$0.039g, 0.55${\pm}$0.025g, 0.21${\pm}$0.0l2g, 0.77${\pm}$0.030g, 0.13${\pm}$0.006g, 0.08${\pm}$0.006g, 1,53${\pm}$0.076g 0.73${\pm}$0.036g, 0.42${\pm}$0.031g, and 2.65${\pm}$0.297g, respectively. 3. The relative ratios of the organ weight versus body weight in guails were compared with those of the commercial chicks (Hibro, Hubbard, and Hisex) and silky fowls. It was noted that the relative weights of the brain and eye ball with respect to body weight were larger in case of quails (Table 3). The weights of heart, liver, lung, kidney, stomach and small intestine in silky fowl were smaller than those of commercial chicks and quail chicks. Other items were similar in weight to commercial chicks ana quail chicks.

• Analytical Science and Technology
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• v.15 no.1
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• pp.54-66
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• 2002

In order to study systematic survey of Kumho river pollution, water analysis for 24 items was conducted at 16 sites surrounding the Kumho river system for 3 times from May 2000 to February 2001. Analytical items for the study of water quality are as follows; water temperature, pH, BOD, COD, DO, SS, electrical conductivity, oil & grease, ABS, phenol, T-P, ${PO_4}^{3-}-P$, T-N, $NH_3-N$, ${NO_2}^--N$, ${NO_3}^--N$, Cu, Zn, Cr, Cd, Mn, Fe, Pb and As. The mean values obtained for water temperature, pH, BOD, COD, DO, SS, electrical conductivity, oil & grease, ABS, phenol T-P, T-N, Cu, Zn, Fe and Mn showed $17.84^{\circ}C$, 8.04, $2.54{\mu}g/mL$, $5.64{\mu}g/mL$, $7.07{\mu}g/mL$, $8.75{\mu}g/mL$, $600.4{\mu}S/cm$, $0.19{\mu}g/mL$, $0.015{\mu}g/mL$, $0.29{\mu}g/mL$, $0.21{\mu}g/mL$, $5.22{\mu}g/mL$, $0.005{\mu}g/mL$, $0.007{\mu}g/mL$, $0.044{\mu}g/mL$ and $0.001{\mu}g/mL$ respectively. As, Cd, Cr and Pb are not detected. The mean concentration of phenol, $NH_3-N$ and $NO_2-N$ were found to be increased compared to the prior study for 3 years from January 1997 to December 1999, that of BOD, COD, SS, oil & grease and ABS were found to be decreased and the others are nearly constant. The effect of Kumho river to the Nakdong river pollution are as follows. The mean concentration of BOD changed from $1.07{\mu}g/mL$ to $1.42{\mu}g/mL$ before and after of introducing of Kumho river water respectively. The mean concentration of COD, electrical conductivity, oil & grease, ABS, phenol, T-N and T-P changed from $1.99{\mu}g/mL$, $221{\mu}S/cm$, $0.15{\mu}g/mL$, $0.006{\mu}g/mL$, $0.06{\mu}g/mL$, $2.21{\mu}g/mL$ and $0.08{\mu}g/mL$ to $2.44{\mu}g/mL$, $392{\mu}S/cm$, $0.16{\mu}g/mL$, $0.015{\mu}g/mL$, $0.07{\mu}g/mL$, $2.81{\mu}g/mL$ and $0.19{\mu}g/mL$ respectively.

• Journal of Nutrition and Health
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• v.41 no.5
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• pp.439-447
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• 2008

There is a limitation to estimate vitamin $B_{12}$ intake due to lack of data on vitamin $B_{12}$ content in many Korean foods. In this study, vitamin $B_{12}$ content was determined in some soybean or vegetable-fermented foods, edible seaweeds and other frequently consumed foods in Korea by microbioassay using Lactobacillus delbruecki ATCC 7830. The traditional type of Doenjang and Chungkookjang contained 1.85 ${\mu}g/100$ g and 0.69 ${\mu}g/100$ g of vitamin $B_{12}$, respectively, while the factory-type of Doenjang and Chungkookjang contained 0.04-0.86 ${\mu}g/100$ g and 0.06-0.15 ${\mu}g/100$ g. Vitamin $B_{12}$ was not detected in steamed soybeans and Tofu which is a not-fermented soybean product, indicating that vitamin $B_{12}$ in Doenjang and Chungkookjang might be produced during the fermentation process. The Korean-style soy sauce contained 0.04 ${\mu}g$ vitamin $B_{12}$/100 mL, but vitamin $B_{12}$ was not detected in Japanese-style soy sauce and white miso. Commercial Kimchi, a representative Korean vegetable- fermented food, made of Korean cabbage, Yeolmu, or Mustard leaves contained 0.013-0.03 ${\mu}g$ vitamin $B_{12}$/100 g, while Kimchi without red pepper and fermented fish sauce (White Kimchi) did not. Vitamin $B_{12}$ content was very high in some edible seaweeds such as laver (66.76 ${\mu}g/100$ g dry weight) and sea lettuce (84.74 ${\mu}g/100$ g dry weight), and it was 17.12 ${\mu}g/100$ g of dried small anchovy, 1.07 ${\mu}g/100$ g of whole egg, and 0.02 ${\mu}g/100$ g of coffee mix. From these results, it is assumed that Koreans take substantial amount of vitamin $B_{12}$ from plant-origin foods. And, with these data, we will be able to calculate dietary vitamin $B_{12}$ content more correctly than before. In conclusion, soybean-fermented foods, Kimchi, laver and sea lettuce are recommendable as good sources of vitamin $B_{12}$ for vegetarians or Korean elderly on grain and vegetable based diet.

• Journal of the Korean Home Economics Association
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• v.47 no.4
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• pp.61-72
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• 2009

The purpose of this research is to suggest a new way to approach measuring the waist line of slacks. The pattern formulated enables a construction method that optimizes motion. The method is based on the measurement on the length change of the body surface line. The research reveals: 1. The analysis of expansion and contraction by area showed that G8 markedly shrunk, whilst G15 maximally stretched during M4 motion. 2. The areas that stretched during M2 motion were, in order of size: G10, G17, G16, and G8. Conversely, the areas that shrunk are, in order, G9, G11, and G18. The areas that stretched during M3 motion were G10, G17, G16, G12, and G15; the areas that shrunk were G9, G11, G18, and G8. 3. In constructing the slacks pattern to allow for appropriate movement, we calculated the length between the knee and back of the waist, point (y), using Pythagoras’theorem and trigonometry. The equation was y = 1.005x. 4. In the two pattern N method and L method, y is equal or less than x, but for our research pattern, y was larger than x

• Korean Journal of Environmental Biology
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• v.23 no.3 s.59
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• pp.315-321
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• 2005

The population of river otter (Lutra lutra) has been declined most of the world due to hunting, habitat destruction and indirect or direct influences of eutrophication, acidification and toxic chemicals. This study is conducted to identify the population decline of river otter in Korea with relation to environmental pollution caused by accumulation of heavy and flared metals. The field survey was conducted during Jan~Dec, 2004 at a monthly basis by collecting spraints. A total of 228 spraints were collected and analysis was done by ICP-AES. The concentrations of fourteen metals (Cr, Zn, Cd, Pb, Ni, Fe, Co, Mn, Mg, Cu, Al, Ba Hg, As) have been determined. Annual concentrations of Cd $(1.38{\mu}g\;g^{-1}),\;Zn\;(599.06\;{\mu}g\;g^{-1}),\;Pb\;(5.54\;{\mu}g\;g^{-1})$ at Gucheon were higher than those of Yeonchocheon. Concentrations of $Cr\;(5.01{\mu}g\;g^{-1}),\;Ni\;(1.91{\mu}g\;g^{-1}),\;Co\;(0.25{\mu}g\;g^{-1})$ were higher at Yeonchocheon. Most metals in winter were significantly increased (P<0.05) as season progressed from spring to winter. $Pb\;(15.58{\mu}g\;g^{-1}),\;Cu\;(15.15{\mu}g\;g^{-1}),\;a;Guchoen\;and\;Cr\;(5.77{\mu}g\;g^{-1})$ at Yeonchocheon were high in the downstream of winter.

• Korean Journal of Food Science and Technology
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• v.26 no.5
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• pp.616-621
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• 1994

In order to provide food factors necessary for tolerance setting and risk assessment of hazardous substances in foods, dietary intake of farm produces by Korean population was optimized from national nutrition survey and food balance sheet during the period of $1986{\sim}90$. Total daily intake of agricultural and livestock produces was normalized to 1.0 kg on the average, which consisted of 422 g cereals, 29 g potatoes, 17 g legumes, 5 g nuts & seeds, 97 g fruits, 300 g vegetables, 49 g meats, 20 g eggs and 72 g milks.