• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.371-387
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• 1995

Let X be a compact polyhedron, H a normal subgroup of the fundamental group $\pi_1(X)$ of X and $f : X \longrightarrow X$ a selfmap such that $f_piH \subset H$, where f_\pi : \pi_1(X) \longrightarrow \pi_1(X)$ is the induced homomorphism by f.

• Proceedings of the Optical Society of Korea Conference
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• 2006.02a
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• pp.311-312
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• 2006

• PNF and Movement
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• v.7 no.3
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• pp.7-16
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• 2009

The purpose of this study was to investigate the effects of plantar flexion exercise and stepper on the balance ability in normal peoples. Twenty subjects participated in this experiment were carried out the program on 6 weeks plantar flexion exercise and stepper. They were divided into two groups; plantar flexion group(plantar flexion exercise group, n=10) and stepper group(using stepper group, n=10). The effects of plantar flexion exercise and using stepper were evaluated by measurements of normal standing(NSEO, NSEC), and semitandom standing and dynamic type 1 and dynamic type 2, respectively. For each case, the experimental data were obtained about static balance in 3 items: mean X speed, mean Y speed and velocity moment, that of dynamic balance in 2 items: mean X speed, mean Y speed. The results of this study were as follows; 1. In plantar flexion exercise group, the statistically significants were shown on X, Y speed and velocity moment in the case of NSEO, NSEC, semitandom standing, and on X, Y speed in the case of dynamic type 1, dynamic type 2. 2. In using stepper group, the statistically significants were shown on X, Y speed and velocity moment in the case of NSEO, NSEC, semitandom and on only X, Y speed in the case of dynimic type 1, dynaimic type 2. 3. There was a statistically significant similar on all about case. however, the statistically difference were not shown with intergroup. The above results revealed that plantar flexion exercise and using stepper was effective for improving the balance ability.

• Journal of the Korean Society of Food Science and Nutrition
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• v.27 no.5
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• pp.945-951
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• 1998

The purpose of this study was to investigate the effects of dietary xylooligosaccharide on lipid levels of serum in rats fed high cholesterol diet. Male Sprage-Dawley rats weiging 100$\pm$10g were randomly assigned to groups of two normal(N, N+10X) and four high cholesterol diets which contained 1%(w/w) cholesterol. High cholesterol diet groups were classified to xylooligosaccharide free diet (C group), 5% xylooligosaccharide diet(C+5X group), 10% xylooligosaccharide diet(C+10X group) and 15% xylooligosaccharide diet(C+15X group) according to the level of dietary xylooligosaccharide supplementation. These experimental diets were fed ad libidum for 4 weeks. The weight gain of high cholesterol diet group were significantly increased more than that of normal group, but those of 10% and 15% dietary xylooligosaccharide groups were significantly decreased more than that of high cholesterol diet(C)group. The higher content of xylooligosaccharide, the more food intake was increased. The food efficiencies of 10%, 15% cholesterol diet groups were lower than that of high cholesterol diet(C)group. The levels of serum triglyceride(TG) and total cholestoral were significantly high in cholesterol diet groups compared with normal diet group but were decreased in groups fed 5% and 10% dietary xylooligosaccharide. Especially, the lowest level showed in group fed high cholesterol diet containing 10% xylooligosacchride. High cholesterol diet group containing 10% xylooligosaccharide increased HDL-cholesterol level and then decreased LDL-cholesterol level and atherogenic index compared with other groups. The level of TBARS(thiobarbituric acid reactive substances) in serum was decreased in rat group fed xylooligosaccharide in high cholesterol diet. The higher content of xylooligosacchride, the more gastrointestinal transit time was decreased. The results indicate that dietary xylooligosaccharide can improve status of TG and total cholesterol and repress lipid peroxidation in serum lipid at hypercholesterolemia induced by high cholesterol diet.

• Journal of applied mathematics & informatics
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• v.29 no.5_6
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• pp.1421-1433
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• 2011

In this paper, using a fixed point approach, the generalized Hyeres-Ulam stability of the following quadratic functional equation $f(x+y+z)+f(x+{\sigma}(y))+f(y+{\sigma}(z))+f(x+{\sigma}(z))=3(f(x)+f(y)+f(z))$ will be studied, where f is a function from abelian group G into a quasi-${\beta}$-normed space and ${\sigma}$ is an involution on the group G. Next, we consider its pexiderized equation of the form $f(x+y+z)+f(x+{\sigma}(y))+f(y+{\sigma}(z))+f(x+{\sigma}(z))=g(x)+g(y)+g(z)$ and its generalized Hyeres-Ulam stability.

• Bulletin of the Korean Mathematical Society
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• v.32 no.1
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• pp.35-43
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• 1995

IF R is a left Artinian ring with identity, G is the group of units of R and X is the set of nonzero, nonunits of R, then G acts naturally on X by conjugation. It is shown that if the conjugate action on X by G is trivial, that is, gx = xg for all $g \in G$ and all $x \in X$, then R is a commutative ring. It is also shown that if the conjegate action on X by G is transitive, then R is a local ring and $J^2 = (0)$ where J is the Jacobson radical of R. In addition, if G is a simple group, then R is isomorphic to $Z_2 [x]/(x^2 + 1) or Z_4$.

• East Asian mathematical journal
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• v.33 no.3
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• pp.257-263
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• 2017

Let n be any positive integer and ${\mathbb{Z}}_n=\{0,1,{\cdots},n-1\}$ be the ring of integers modulo n. Let $X_n$ be the set of all nonzero, nonunits of ${\mathbb{Z}}_n$, and $G_n$ be the group of all units of ${\mathbb{Z}}_n$. In this paper, by investigating the regular action on $X_n$ by $G_n$, the following are proved : (1) The number of orbits under the regular action (resp. the number of annihilators in $X_n$) is equal to the number of all divisors (${\neq}1$, n) of n; (2) For any positive integer n, ${\sum}_{g{\in}G_n}\;g{\equiv}0$ (mod n); (3) For any orbit o(x) ($x{\in}X_n$) with ${\mid}o(x){\mid}{\geq}2$, ${\sum}_{y{\in}o(x)}\;y{\equiv}0$ (mod n).

• Journal of the Korea Safety Management & Science
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• v.6 no.3
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• pp.87-97
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• 2004

The National Health Insurance Act, the Industrial Health Act and the School Health Act require chest radiography at least once a year. In chest radiographic examination, most group examinations use indirect X-ray primarily aiming at diagnosing diseases and enhancing people's health. This study purposed to minimize radiation exposure dose by comparing it between direct and indirect chest X-ray studies. According to the result of comparing and analyzing radiation exposure dose, the average incident dose and penetrating dose were 0.929μGy and 0.179μGy respectively in direct chest X-ray and 6.807μGy and 1.337μGy in indirect chest X-ray In order to minimize radiation exposure dose at direct and indirect chest X-ray, indirect X-ray should be excluded from group examination if possible. Moreover, it is necessary to control the quality of equipment (Q/A & Q/C) systematically and to avoid using unqualified equipment in order to reduce radiation exposure dose.

• Journal of radiological science and technology
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• v.40 no.1
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• pp.63-70
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• 2017

The purpose of this study was compare to the patient setup deviation of two different type thermoplastic immobilization masks for glottis cancer in the intensity-modulated radiation therapy (IMRT). A total of 16 glottis cancer cases were divided into two groups based on applied mask type: standard or alternative group. The mean error (M), three-dimensional setup displacement error (3D-error), systematic error (${\Sigma}$), random error (${\sigma}$) were calculated for each group, and also analyzed setup margin (mm). The 3D-errors were $5.2{\pm}1.3mm$ and $5.9{\pm}0.7mm$ for the standard and alternative groups, respectively; the alternative group was 13.6% higher than the standard group. The systematic errors in the roll angle and the x, y, z directions were $0.8^{\circ}$, 1.7 mm, 1.0 mm, and 1.5 mm in the alternative group and $0.8^{\circ}$, 1.1 mm, 1.8 mm, and 2.0 mm in the alternative group. The random errors in the x, y, z directions were 10.9%, 1.7%, and 23.1% lower in the alternative group than in the standard group. However, absolute rotational angle (i.e., roll) in the alternative group was 12.4% higher than in the standard group. For calculated setup margin, the alternative group in x direction was 31.8% lower than in standard group. In contrast, the y and z direction were 52.6% and 21.6% higher than in the standard group. Although using a modified thermoplastic immobilization mask could be affect patient setup deviation in terms of numerical results, various point of view for an immobilization masks has need to research in terms of clinic issue.

• Journal of the Korean Mathematical Society
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• v.59 no.3
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• pp.571-594
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• 2022

Let D be an integral domain with quotient field K, Pic(D) be the ideal class group of D, and X be an indeterminate. A polynomial overring of D means a subring of K[X] containing D[X]. In this paper, we study almost Dedekind domains which are polynomial overrings of a principal ideal domain D, defined by the intersection of K[X] and rank-one discrete valuation rings with quotient field K(X), and their ideal class groups. Next, let ℤ be the ring of integers, ℚ be the field of rational numbers, and 𝔊f be the set of finitely generated abelian groups (up to isomorphism). As an application, among other things, we show that there exists an overring R of ℤ[X] such that (i) R is a Bezout domain, (ii) R∩ℚ[X] is an almost Dedekind domain, (iii) Pic(R∩ℚ[X]) = $\oplus_{G{\in}G_{f}}$ G, (iv) for each G ∈ 𝔊f, there is a multiplicative subset S of ℤ such that RS ∩ ℚ[X] is a Dedekind domain with Pic(RS ∩ ℚ[X]) = G, and (v) every invertible integral ideal I of R ∩ ℚ[X] can be written uniquely as I = XnQe11···Qekk for some integer n ≥ 0, maximal ideals Qi of R∩ℚ[X], and integers ei ≠ 0. We also completely characterize the almost Dedekind polynomial overrings of ℤ containing Int(ℤ).