• Communications of the Korean Mathematical Society
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• v.38 no.2
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• pp.331-340
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• 2023

In this paper, the concept of a maximal chain of ideals is introduced. Some properties of such chains are studied. We introduce some other concepts related to a maximal chain of ideals such as the n-maximal ideal, the maximal dimension of a ring S (M. dim(S)), the maximal depth of an ideal K of S (M.d(K)) and maximal height of an ideal K(M.d(K)).

• Korean Journal of Applied Biomechanics
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• v.21 no.2
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• pp.197-205
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• 2011

Various jumping and landing motions are shown during sports event. But most previous studies have not considered landing height and distance simultaneously. The purpose of this study was to identify the effects of landing height and distance on knee injury mechanism. Fourteen male(age: $28.86{\pm}1.99$ yrs, height: $177.00{\pm}4.69$ cm, weight: $76.50{\pm}6.41$ kg) participated in this study. The subjects attempted drop landing task onto the ground from 30 cm to 45 cm heights and to 20 cm to 40 cm distances. The results were as follows. First, higher drop landing height and longer distance showed greater degree of maximal knee flexion and valgus. Second, higher drop landing height and longer distance showed greater maximal knee extension moment and varus moment. Third, higher drop landing height and longer distance showed larger maximal knee absorption power. Lastly, higher drop landing height showed increased Peak GRF. Landing height was more related to the cause of injury, which was indicated by increased maximal knee extension moment, peak GRF and maximal knee absorption power. Landing distance was also associated with increased knee valgus moment and absorption power during landing. These results suggest that landing height and distance may be the cause of injury.

• Journal of the Ergonomics Society of Korea
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• v.18 no.1
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• pp.91-108
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• 1999

In our previous work using a motion analyzer and 3-dimensional sonic digitizer, the arm shapes for 23 women in their early twenties were classified into three characteristic types. In order to design sleeves, suitable for arm movements for the three characteristic arm shapes, a relationship between arm length variation and shoulder/elbow angles has been investigated for four cases of arm movements (flexion, extension, adduction and abduction). Each arm movement can be characterized by the changes in shoulder angle and the changes in elbow angle at the maximal shoulder angle. In all the four cases of arm movements, the changes of shoulder length and cap height are largest at the maximal shoulder angle. These changes were little affected by changes in elbow angle. The changes in the lower arm length and the difference between cap height and upper arm length are the largest at the maximal elbow angle of the maximal shoulder angle. There is a linear relationship between cap height and shoulder angle during arm movements; thus, in designing sleeves the cap height can be determined from the regression of cap height vs. shoulder angle.

• Bulletin of the Korean Mathematical Society
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• v.52 no.2
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• pp.525-530
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• 2015

Let D be an integrally closed domain with quotient field K, X be an indeterminate over D, $f=a_0+a_1X+{\cdots}+a_nX^n{\in}D[X]$ be irreducible in K[X], and $Q_f=fK[X]{\cap}D[X]$. In this paper, we show that $Q_f$ is a maximal ideal of D[X] if and only if $(\frac{a_1}{a_0},{\cdots},\frac{a_n}{a_0}){\subseteq}P$ for all nonzero prime ideals P of D; in this case, $Q_f=\frac{1}{a_0}fD[X]$. As a corollary, we have that if D is a Krull domain, then D has infinitely many height-one prime ideals if and only if each maximal ideal of D[X] has height ${\geq}2$.

• The Korean Journal of Physiology
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• v.2 no.2
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• pp.1-10
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• 1968

Maximal oxygen consumption measurements were performed on 15 middle school boys (age: mean 14.0, range: $13{\sim}16$ years) and 14 high school boys (age: mean 17.4, range: $16{\sim}19$ years). General body build was greater in the high school boys and absolute values of body height, body weight, skinfold thicknesses, maximal oxygen uptake, and maximal pulmonary ventilation followed the same trend. Considered on the basis of body build, however, the values of high school boys were not always greater than those of middle school boys. The following results were obtained. 1. Maximal oxygen consumption in middle school boys was 2.11 l/min., 53.7ml/kg b. weight, 13.9 ml/cm body height, and 63.7 ml/kg LBM. In high school boys the values were: 2.86 l/min., 52.7 ml/kg b.wt., 17.5 ml/cm b. height, and 57.9 ml/kg LBM. Thus, middle school boys were superior to high school boys on body weight and lean body mass basis. They were also superior to the European boys of the same age. 2. The ratio of maximal oxygen uptake to resting value was 9.7 in middle school boys, and 10.8 in high school boys. 3. Maximal pulmonary ventilation in middle school boys was 58.0 l/min., and 84.0 l/min. in high school boys. The ratio of maximal ventilation to resting value was the same as oxygen uptake, namely, 9.7 in middle school boys and 10.7 in high school boys. 4. Ventilation equivalent in middle school boys was 27.5 and 29.3 in high school boys. These values represent values of untrained male subjects. 5. Maximal heart rate in high school boys reached to 193 beat/min. and is 2.9 times that of resting heart rate. 6. Maximal oxygen pulse in high school boys was 16.6 ml/beat and was same as that of untrained subject. 7. Correlation between body weight and maximal oxygen consumption in middle school boys was r=0.570, and r=0.162 in high school boys. Correlation between lean body mass in middle school boys was r=0.499, and r=0.158 in high school boys. Interrelation between body weight and maximal pulmonary ventilation was poor. 8. The differences between trained and untrained subjects were discussed.

• The Korean Journal of Physiology
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• v.2 no.2
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• pp.11-20
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• 1968

Maximal oxygen uptake was measured in thirty-three secondary school girls by means of the treadmill test. Eighteen middle school girls aged 14.0 (range: $13.0{\sim}15.9$) years and fifteen high school girls aged 16.9 (range: $16.0{\sim}18.0$) years served as subjects. Maximal treadmill run lasted for 2 minutes and 20 seconds and the expired air was collected in a Douglas bag through a J-valve during the last one minute period. In general, absolute values of various measurements in the high school girls were greater than those of the middle school girls. When values were expressed on the body weight or lean body weight basis, however, work capacity of middle school girls was superior to that of the high school girls. The detailed results are as follows: 1. In middle school girls maximal oxygen uptake was 1.78 l/min., 47.4 ml/kg body weight, 12.3 ml/cm body height, and 61.7ml/kg lean body mass. In high school girls maximal oxygen uptake was 1.93 l/min., 39.7ml/kg body weight, 12.3 ml/cm body height, and 51.2 ml/kg LBM. Although the absolute value of maximal oxygen uptake was greater in high school girls than in middle school girls, values expressed on the body weight basis showed the reverse trend, namely, values of the middle school girls was greater than those of the high school girls. 2. The ratio of maximal to resting oxygen uptake was 8.8 in the middle school girls and was 10.2 in the high school girls. 3. Maximal pulmonary ventilation in the middle school girls was 55.3 l/min. and 66.1 l/min. in the high school girls. The ratio of maximal to resting pulmonary ventilation was 10.2 in the middle school girls and 10.1 in the high school girls. 4. The correlation between body weight and maximal oxygen uptake was relatively high, namely, r=0.79 both in middle and high school girls. The correlation coefficient between body weight and maximal pulmonary ventilation was a little less that of between maximal oxygen uptake and showed a value of r=0.60 both in middle and high school girls. The lean body mass was a poor reference of maximal oxygen uptake or maximal pulmonary ventilation as compared to body weight. The correlation between maximal oxygen uptake and maximal pulmonary ventilation was high and the coefficient of correlation in middle school girls was 0.927 and in high school girls it was 0.856. 5. Maximal ventilation equivalent was 30.9 liters in middle school girls and 33.9 liters in high school girls. This indicated that no hyperventilation was induced during the maximal of oxygen uptake exercise period as related to the maximal oxygen uptake. 6. Heart rate reached to the peak value within 1.5 minutes after beginning of maximal oxygen uptake run and remained at the same peak plateau level throughout the entire running period. Heart rate decreased steeply on cessation of running and subsided slowly thereafter. The maximal heart rate was 184 beat/min. in middle school girls and 189 beat/min. in high school girls. 7. Maximal oxygen pulse was 9.4 in middle school girls and 9.9 ml/beat in high school girls.

• Journal of Korean Foot and Ankle Society
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• v.18 no.1
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• pp.14-18
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• 2014

Purpose: The purpose of this report is to evaluate the measured values of normal Korean calcaneus by conduct of a cadaveric study. Materials and Methods: A total of 42 calcanei were obtained from Korean cadavers. A digital goniometer was used for measurement of B$\ddot{o}$hler's angle, Gissane angle, posterior facet articular inclination angle, and Fowler-Philip angle of calcaneus. A vernier caliper was used for measurement of the maximal antero-posterior length, maximal transverse width, and maximal height of calcaneus. Results: The average B$\ddot{o}$hler's angle, Gissane angle, posterior facet articular inclination angle, and Fowler-Philip angle was $32.3^{\circ}{\pm}5.0^{\circ}$, $114.4^{\circ}{\pm}8.2^{\circ}$, $61.2^{\circ}{\pm}4.4^{\circ}$, and $60.3^{\circ}{\pm}7.6^{\circ}$. The average maximal antero-posterior length, maximal transverse width, and maximal height of calcaneus was $74.2{\pm}3.0mm$, $43.0{\pm}4.0mm$, and $42.5{\pm}3.0mm$. Conclusion: The measured values of normal Korean calcaneus were lower than the values reported in the international literature. Therefore, development of appropriate instruments reflecting the anatomical characteristics of Koreans will be needed.

• The Korean Journal of Physiology
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• v.2 no.2
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• pp.45-52
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• 1968

Maximal oxygen uptake was measured in twenty-eight middle-aged men aged 45.0 (range: 40.3-50.7) years and fourteen middle-aged women aged 40.5 (range: 34.3-47.5) years by means of a treadmill test. The physique of subjects were:mean skinfold thickness at 4 sites, namely, back, arm, waist and abdomen was 7.59 mm in men and 14.5 mm in women; total body fat estimated from the mean skinfold thickness, 11.9% fat in men and 25.5% fat in women. The detailed observations are as follows: 1. Maximal oxygen uptake expressed on any reference unit in men was greater than that of women. The values of men to women were: 2.61 to 1.92l/min., 45.1 to 37.0 ml/min./kg, 51.8 to 46.5 ml/min./kg lean body mass (LBM), 15.7 to 12.6 ml/min./cm body height. 2. Maximal pulmonary ventilation in men was 80.2 l/min. and 63.5 l/min. in women. 3. There was a correlation of fairly high degree between maximal oxygen uptake and body weight, namely, r=0.56 in men and r=0.79 in women. The correlation between maximal oxygen uptake and lean body mass also was fairly high, namely, r=0.58 in men and r=0.69 in women. 4. The correlation between maximal pulmonary ventilation and body weight or lean body mass was r=0.51 and r=0.25 in middle-aged men and r=0.41 and r=0.19 in middle-aged women, respectively. 5. Maximal heart rate in men was 176.4 beat/min. and it was 183.9 beat/min. in women. 6. Maximal oxygen pulse in men was 14.6 ml/beat and 9.5 ml/beat in women. 7. Aerobic work capacity of korean middle-aged men and women maintained the same level as that of young men and women, respectively, as shown by maximal oxygen uptake expressed ml/min./kg or ml/min./kg lean body mass.

• Journal of the Korea Safety Management & Science
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• v.16 no.4
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• pp.371-378
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• 2014

Manual materials handling tasks are the main risk factors for the work-related musculoskeletal disorders. Many assistant tools for manual materials handling are being used in various kind of industries. One of them is a 4-wheeled cart which is widely used in manufacturing factories, hospitals, etc. The major force required to control the 4-wheeled cart is pushing and pulling. There are two types of handles being used for the 4-wheeled cart : vertical type (two vertical handles), and horizontal type (one horizontal handle). This study tried to investigate the pushing forces and subjective discomforts (hand/writst, shoulder, low back, and overall) of the two handle types with different handle height and distance conditions. Twelve healthy male students (mean age = 23.4 years) participated in the experiment. The independent variables were handle angle (horizontal, vertical), handle height (low, medium, high), and handle distance (narrow, medium, wide). The full factorial design was used for the experiment and the maximum pushing forces were measured in 18 different conditions ($2{\times}3{\times}3$). Analysis of variance (ANOVA) procedure was conducted to test the effects of the independent variables on the pushing force and discomfort levels. Handle height and angle were found to be the critical design factors that affect the maximal pushing forces and subjective discomfort. In the middle height, subjects exerted higher pushing forces, and experience lower discomfort levels compared to the high, and low height. There was no statistical influence of the handle distance to the pushing forces and subjective discomfort levels. It was found out that the effects of the handle angle (horizontal and vertical) on both pushing force and subjective discomfort were statistically significant (p < 0.05). The vertical handle revealed higher pushing force and lower discomfort level than the horizontal handle. The reason for that was thought to be the different postures of the hand when grasping the handles. The horizontal handle induced pronaton of the hand and made hand posture more deviated from the neutral position.

• Archives of Craniofacial Surgery
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• v.10 no.2
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• pp.103-108
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• 2009

Purpose: Although there are many reports on the development of paranasal sinuses, few studies were performed with respect to the frontal sinus with 3D CT, especially in Korean children. In this study, we evaluated the normal development of frontal sinus in Korean children with 3D CT imaging. Methods: A total of 301 patients under the age of 20 were reviewed retrospectively. Maximal AP (anteroposterior) length, height and width were measured with the aid of computer device. The volume of frontal sinus was also evaluated. Results: At the age of more than 4, the pneumatization of frontal sinus was detected. Frontal sinus developed continuously and was observed in almost every children at the age of more than 17. The AP length, height, width and volume of frontal sinus were enlarged continuously until the age of 20. And the maximal growth of frontal sinus was observed at puberty. The width and volume of frontal sinus showed high correlation coefficient (r=0.8) relative to height or AP distance. Conclusion: The results of this study may be helpful in the comprehension of normal development of frontal sinus in Korean children.