• Honam Mathematical Journal
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• v.33 no.4
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• pp.557-573
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• 2011

Let G be a compact and connected semisimple Lie group, H a closed subgroup, g (resp. h) the Lie algebra of G (resp. H), B the Killing form of g, g the normal metric on the homogeneous space G/H which is induced by -B. Let D be an invarint connection with Weyl structure (D, g, ${\omega}$) in the tangent bundle over the normal homogeneous Riemannian manifold (G/H, g) which is projectively flat. Then, the affine connection D on (G/H, g) is a Yang-Mills connection if and only if D is the Levi-Civita connection on (G/H, g).

• Journal of the Korean Mathematical Society
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• v.51 no.1
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• pp.55-65
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• 2014

A graph G is called a fractional (g, f, n)-critical graph if any n vertices are removed from G, then the resulting graph admits a fractional (g, f)-factor. In this paper, we determine the new toughness condition for fractional (g, f, n)-critical graphs. It is proved that G is fractional (g, f, n)-critical if $t(G){\geq}\frac{b^2-1+bn}{a}$. This bound is sharp in some sense. Furthermore, the best toughness condition for fractional (a, b, n)-critical graphs is given.

• Communications of the Korean Mathematical Society
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• v.11 no.2
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• pp.335-348
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• 1996

For an open set G in the complex plane C, we prove the existence of an entire function f such that its integer translations forms a finitely normal family exactly on G if and only if G is periodic with period 1 and G has no hole.

• Journal of Physiology & Pathology in Korean Medicine
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• v.16 no.1
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• pp.78-88
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• 2002

Experimental animals were divided into 5 groups; normal, cadmium control, and 3 experimental groups. Cadmium control and experimental groups were exposed to 1 mg/㎥ of cadmium aerosol in air by inhalation exposure for 6 hours/day, 5 days/week during 4 weeks. Dosages of 20, 40, and 80mg/kg of extracts of persimmon leaves were intraperitoneally injected to experimental groups respectively and several toxicological parameters and induction of metallothionein were measured from the rats that inhaled cadmium aerosol in air. The results of this study were as follows. Cadmium concentration that cadmium control and experimental groups were inhaled was 0.980±0.061 mg/㎥. Mass median diameter of cadmium aerosol for inhalation exposure was 4.93±0.483㎛. Cadmium content of normal group in lung was 0.088㎍/g and the highest cadmium content in lung, 55.492㎍/g was from 80mg/kg dose group. Cadmium concentration of normal group in blood was 0.348㎍/100㎖ and the highest cadmium concentration in blood, 2.642㎍/100㎖ was from cadmium control. Cadmium concentration of normal group in liver was 0.010㎍/g and the highest cadmium concentration in liver, 31.100㎍/g was from 20mg/kg dose group. Cadmium concentration of normal group in kidney was 0.030㎍/g and the highest cadmium concentration in kidney, 2.526㎍/g was from cadmium control. Cadmium concentration of normal group in intestine was O.064㎍/g and the highest cadmium concentration in intestine, 0.300㎍/g was from 80mg/kg dose group. The highest cadmium concentration in urine by week was 6.080㎍/day from 20mg/kg dose group in the fouth week and the highest cadmium concentration in feces by week was 341.731㎍/day from 20mg/kg dose group in the fouth week. Metallothionein concentration of normal group in lung was 5.769㎍/g and the highest in lung, 30.986㎍/g was from 80mg/kg dose group. Metallothionein concentration of normal group in liver was 38.856㎍/g and the highest in liver, 169.378㎍/g was from 40mg/kg dose group. Metallothionein concentration of normal group in kidney was 22.228㎍/g and the highest in kidney, 47.898㎍/g was from 80mg/kg dose group. Metallothionein concentration of normal group in intestine was 2.170㎍/g and the highest in intestine, 13.642㎍/g was from 80mg dose group.

• Journal of the korean academy of Pediatric Dentistry
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• v.11 no.1
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• pp.41-56
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• 1984

The purpose of this study is to obtain the normal range of mandibular movement for 13 year old boys and girls, and to compare it to the range of mandibular movement of class III patient and normal adult for diagnosis and prognosis of class III malocclusion and TMJ dysfunction. The subjects were 20 normal boys 20 normal girls 22 class III boys and 18 class III girls. The author measured the ranges and shapes of movement of the mandible in the frontal, sagittal and horizontal trajectories using Saphon visitrainer C II (Tokyo Shizaisha Inc.) for the subjects. The results obtained are as follows: 1) The mean for maximum right laterotrusion in the frontal trajectory were 11.96mm in N.B., 11.10mm in N.G., 11.32mm in III. B., 11.24mm in III G. The mean for maximum left laterotrusion were 11.48mm, 11.0mm, 10.91mm, 10.44mm respectively, Area of border movement were 7.16cm in N.B., 6.59cm in N.G., 7.29cm in III. B., 7.50cm in III. G. 2) The mean for maximum protrusion in the sagittal trajectory were 11.7mm in N.B., 11.4mm in N.G.,11.87mm in III B., and 11.02mm in III. G. 3) The mean for maximum protrusion in the horizontal trajectory were 10.20mm in N.B.,10.00 mm in N.G., 9.12mm for III. B. and 9.36mm in III. G. 4) The mean for maximum protrusion of Class III subjects were shorter than those of normal subjects. 5) There was no sexual difference in the range of mandibular movement for 13 year old subjects. N.B; Normal boys N.G.; Normal girls III.B.; Class III boys III. G.; Class III girls.

• Journal of the Korean Dietetic Association
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• v.28 no.1
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• pp.19-29
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• 2022

This study examined the impact of perceived volume on satiety using 400 g kimchi fried rice in a normal rice bowl (Normal-400), 300 g kimchi fried rice in an augmented rice bowl with an elevated bottom (Illusion-300 and 300 g kimchi fried rice in a normal rice bowl (Normal-300). Thirty-six healthy women took part in this study once a week for three weeks. The Normal-400 (1st week), Illusion-300 (2nd week), and Normal-300 (3rd week) bowls were used to served kimchi fried rice to the same participants over three consecutive weeks. After each lunch, the consumption volume of fried rice, perception volume, and satiety rate were measured. The consumption volume of the fried rice was 313.8 g with the Normal-400, 248.9 g with the Illusion-300 and 240.2 g with the Normal-300. The perceived volume on an estimated five-point scale was 4.0 with the Normal-400, 4.1 with the Illusion-300 and 2.4 with the Normal-300. We compared the post-meal satiety of perceptually equal but quantitatively different amounts of food served in two different bowls (Normal-400 vs Illusion-300) and found that the participants felt equally full with both bowls despite having consumed significantly more food from the Normal-400. We also compared the post-meal satiety of perceptually different but quantitatively equal amounts of food in two different bowls (Illusion-300 vs Normal-300) and discovered that the subjects felt significantly fuller with the Illusion-300 although similar amounts of food were consumed from the two bowls. These two comparisons showed that visual cues play a critical role in determining satiety and that perceived volume is perhaps more important than the actual volume of consumed food, while in determining the level of fullness.

• Journal of the Korean Mathematical Society
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• v.43 no.1
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• pp.215-224
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• 2006

We call the bipartite graph G is normal provided the reduced adjacency matrix A of G is normal. In this paper we give graph representations of normal matrices. In addition we shall have the characterization of signed bipartite normal graphs.

• Bulletin of the Korean Mathematical Society
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• v.53 no.1
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• pp.91-102
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• 2016

A chief factor H/K of G is called F-central in G provided $(H/K){\rtimes}(G/C_G(H/K)){\in}{\mathfrak{F}}$. A normal subgroup N of G is said to be ${\pi}{\mathfrak{F}}$-hypercentral in G if either N = 1 or $N{\neq}1$ and every chief factor of G below N of order divisible by at least one prime in ${\pi}$ is $\mathfrak{F}$-central in G. The symbol $Z_{{\pi}{\mathfrak{F}}}(G)$ denotes the ${\pi}{\mathfrak{F}}$-hypercentre of G, that is, the product of all the normal ${\pi}{\mathfrak{F}}$-hypercentral subgroups of G. We say that a subgroup H of G is ${\pi}{\mathfrak{F}}$-embedded in G if there exists a normal subgroup T of G such that HT is s-quasinormal in G and $(H{\cap}T)H_G/H_G{\leq}Z_{{\pi}{\mathfrak{F}}}(G/H_G)$, where $H_G$ is the maximal normal subgroup of G contained in H. In this paper, we use the ${\pi}{\mathfrak{F}}$-embedded subgroups to determine the structures of finite groups. In particular, we give some new characterizations of p-nilpotency and supersolvability of a group.

• Bulletin of the Korean Mathematical Society
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• v.41 no.4
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• pp.779-783
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• 2004

A group G is said to satisfy the minimal condition on normal subgroups of infinite index if there does not exist an infinite properly descending chain $G_1$ > $G_2$ > ... of normal subgroups of infinite index in G. We characterize the structure of locally nilpotent groups satisfying this chain condition.

• Bulletin of the Korean Mathematical Society
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• v.55 no.6
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• pp.1835-1843
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• 2018

In this paper, finite p-groups G satisfying $N_G(H){\leq}H^G$ for every non-normal subgroup H of G are completely classified. This solves a problem proposed by Y. Berkovich.