• East Asian mathematical journal
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• v.38 no.5
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• pp.583-591
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• 2022

Let K be an imaginary quadratic field and 𝒪 be an order in K. Let H_𝒪 be the ring class field of 𝒪. Furthermore, for a positive integer N, let K_𝒪,N be the ray class field modulo N𝒪 of 𝒪. When the discriminant of 𝒪 is different from -3 and -4, we construct an extended form class group which is isomorphic to the Galois group Gal(K_𝒪,N/H_𝒪) and describe its Galois action on K_𝒪,N in a concrete way.

• Journal of Sericultural and Entomological Science
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• no.11
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• pp.81-86
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• 1970

This report was prepared to compare and analyze the testing method and classification of winding test in Korea to that in Japan, and the obtained results, which had been carried out, in Korea, from Sep. to Nov. in 1968 and in Japan through June in 1968, was as followings. 1. In Korean raw silk, (21 D.) the average number of breaks on winding test showed 5.91 by Korean Method but showed 8.6 by Japanese method and the latter increased to 2.7. On the other hand in Japanese raw silk, it showed 3.6 by Korean method but 4.7 by Japanese method and the latter increased to 1.1. (See Table 2,3) 2. It was seemed the tendency that the lot distribution of breaks number in Korean silk was mostly concentrated to the breaks No. 3,4 and 5(48％) by Korean method but in case of Japanese method to the breaks number 5,6 and 7(36％), and the tendency that the concentration depended mostly on the increased number of breaks. In Japanese raw silk, it was seemed the tendency that the lot distribution of breaks number was mostly concentrated to the breaks number 1. 2, and 3 (55％) by Korean Method but in case of Japanese Method to the breaks number, 2,3 and 4(50％) and the tendency that the concentration was as similar as the above. (See Table 2,3) 3. It was found the tendency that the distribution of breaks number during the open winding test was mostly concentrate red to the average number of breaks not only in Korea but in Japan. The rate 0: non-breaks, however, showed 43％ of Japan, to 7％ of Korea. (See Table 4) 4. Applying Table 1,2 to the Classification of Korea and Japan, the class distribution by Korean table showed 68％ of class 1(6), 22％ of cl ass 2(10) and 9％ of class 3(15) in Korean silk, while that by Japanese table showed 13％ of class 1(4), 56％ of class 2(10) and 29％ of class 3(18). And then the testing result to be class 1 or 2 by Korean table was. degraded from class 1 to class 2 of 55％ and from class 2 to class 3 of 20％ down. In Japanese silk, however, the class distribution by Korean table showed 85％ of class 1 (4), 10％ of class 2(10) and 5％ of class 3(18) but that by Japanese table showed 60％ of class 1(4), 33％ of class 2(10) and 7％ of class 3(18). And then there was little difference in the rate of class distribution. 5. Through the above investigation, it was seemed that Japanese classification table was only prepared for the r∼w silk of Japan, considering that the width of class 1(4) in winding table was greatly tighter than that of Korea. Because it was generally evaluated that Korean silk in quality especially in the winding test was better (next to Japan) than any other countries. 6. We could venture to estimate that, applying to Japanese method, the testing result of break number in Korean silk would show from about 6 by Korean method to 9. And then it would be found degrading hi the testing result of winding test increased gradually.

• Journal of Korean Elementary Science Education
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• v.27 no.4
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• pp.437-445
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• 2008

The purpose of this study was to examine about science gifted class student's effect of education for the science gifted class. For this, 21 item-questionnaires were given to 292 students at the 4th, 5th and 6th graders in 3 elementary gifted schools located in Incheon. The results of this study were as follows: First, science gifted students were positive in effect of gifted class. This was more positive as class is low. Second, gifted students are thinking that it is helped to own learning that study at gifted class in cognitive side but appeared relatively low regarding school record or utterance, study method, thinking faculty, creativity. Third, they did not think that is exerting a lot of effects about own habit that study, interest, pride in emotional side. Fourth, they thought that is effective in relation with new friends more than teachers and parents in sociocultural side. Fifth, in private tutoring side they thought that is not influencing to solve academy taking a course of decrease.

• Communications of the Korean Mathematical Society
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• v.28 no.4
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• pp.741-750
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• 2013

To study the operator inequalities, the notions of class A operators and quasi-class A operators are developed up to recently. In this paper, quasi-$A(n,{\kappa})$ class operator for $n{\geq}2$ and ${\kappa}{\geq}0$ is introduced as a new notion, which generalizes the quasi-class A operator. We obtain some structural properties of these operators. Also we characterize quasi-$A(n,{\kappa})$ classes for n and ${\kappa}$ via backward extension of weighted shift operators. Finally, we give a simple example of quasi-$A(n,{\kappa})$ operators with two variables.

• The korean journal of orthodontics
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• v.9 no.1
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• pp.39-65
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• 1979

The purpose of this study was to investigate the pattern of irregularities of teeth in various malocclusion groups. The subjects consist of 803 out-patients (355 males, and 448 females) in department of Orthodontics of S.N.U. Hospital, Yonsei University, and Kyunghi University Hospital. The results were as follows. 1. The proportions of subjects on the basis of Angle's Classification were 39.2% (42.2% male, and 57.8% fomale) in class I malocclusion, 29.0% (44.6% male, and 55.4% female) in class II. div. 1., 3.5%(46.4% male, and 53.6% female) in class II. div. 2., 28.3%(46.3% male, and 53.7% female) in class III. 2. Considering all the subjects, the percentage of teeth crowding was 67.8% (45.0% male, and 55.0% female). In class I malocclusion, the percentage of Crowding was 70.8%(43.5% male, and 56.5% female) with higher frequency in upper anterior teeth than in lower anterior. 3. The percentage of Maxillary anterior diastema was 25.6% (45.6% male, and 54.4% female) on the whole. In class II. div. 1. malocclusion, the percentage was 28.8% (46.3% male, and 53.7% female) and in class III, the percentage was 19.8% (46.7% male, and 53.3% female). Thus, frequency of maxillary anterior distema, was comparatively higher in class II. div. 1. than in class III. 4. The percentage of high canine was 25.1% (53.2% male, and 46.8% female) on the whole, and was 86.0% male and 76.6% female in right side, 73.0% male and 72.3% female in left side. In calss II. div. 2., the percentage was 53.6% (46.7% male, and 53.3% female ). In class II. div. 1., the percentage was 16.7% (46.2% male, and 53.8%) with higher frequency in class II. div.2. 5. The percentage of deep overbite was 23.0% (43. 2% male, and 56.8% female) on the whole. Ia class 11. div. 2., and in clas sll. div. 1., its were 89.3%(48.0% male and 52.0% female), 54.5% (40.9% male, and 59.1% female) respectively. This result can be considered as one of the characterics of Angle's class 11 malocclusion group. 6. The percentage of spacing was 23.0% (36.8% male, and 63.2% female) on the whole, In class II. div. 1., and in class II. div. 2., its were 26.1% (44.3% male, and 55. 7% female), 7.1% (50.0% male, and 50.0% female) respectively. 7. The percentage of open bite was 14.3% (42.6% male, and 57.4% female) on the whole with higher rate on the anterior part. It rated 17.6%(50. 0% male, and 50.0% female) in class III, but none in class II. div. 2. 8. The percentage of crossbite was 22.5% (55.8% male, and 44.2% female) on the whole, with higher frequency on the anterior part than on the posterior part. In Angle's class III, it rated as much as 55.1% (57.6% male, and 42.4% female). 9. The percentage of edge-to-edge bite was 20.4% (47.6% male, and 52.4% female) with higher frequency on anterior part than on posterior part. 10. The percentage of irregularities of teeth in various malocclusion groups, was 21.5% (24.8% maxillary, and 18.1% mandible) in crowding, 20.8% (23.5% maxillary, and 18.0% mandible) in rotation, 10.7% (10.6% maxillary, and 10.8% mandible) in cross bite, 9.5% (11.8% maxillary, and 7.3% mandible) in spacing, 8.5% (8.5% maxillary, and 8.5% mandible) in edge-to-edge bite, 8.1% (8.3% maxillary, 7.8% mandible) in open bite. Crowding teeth, spacing teeth, and rotating teeh were more prevalent in anterior part than in posterior part. Cross bite teeth and edge-to-edge bite teeth were more prevalent in class III malocclusion than in another.

• The Journal of the Korea Contents Association
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• v.6 no.5
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• pp.85-95
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• 2006

In this paper, we propose a method for simplifying the modeling of 'walk' for various instances of quadruped and easily extending the model of 'walk' for the instance of new subordinate class which is not defined in the original class hierarchy by using the sophisticatedly modeled 'walk' of quadruped. To achieve this method, we apply the analyzed pattern of walk and classification according to the structural similarity of quadruped studied in the previous researches to the class hierarchy and propose a method for inheriting the actions of super class. This paper model the 'walk' of quadruped by concertizing the characteristics of quadruped and defining the necessary factors and appropriate domains in terms of parameters of 'walk' and apply the model to the horse and cow, typical instances of quadruped.

• Journal of Science Education
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• v.39 no.1
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• pp.58-79
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• 2015

This study is to analyze the 2289 students questionnaires from 3rd to 9th grade students in order to analyze the students' perceptions change aspect by their grade about the frequency and type of students' question during various science class context. After the class contexts proposed in the questionnaire subcategorize into 19 subitems about 4 areas of class content, class pattern, class material and class process, this study examined the frequency and type of students' question during a science class by each item. The results of this study were as follows. First, the type of students' question was that the most frequent was understanding question and the second was memory question and these both types were half frequency. There was no special tendency related the change of students' question type by school year. Second, the frequency of 4th grade students' question was the highest among other school year students and the frequency of students' question was lowered by the higher school year. The change of students' question by school year was the biggest between 3rd and 4th grade. The class strategies for improving the class effect reflect that the various and active students' question by class context and school year stimulates students' thinking and also builds up the active class environment.

• Journal of Korean Academy of Nursing
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• v.20 no.1
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• pp.16-37
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• 1990

A cost analysis for hospitalized patients was carried out based upon Patient Classification System(PCS) in order to determine an appropriate nursing fee. The data were collected from 21 nursing units of three teaching hospitals from April 1 to June 30, 1989. first, all of the 22,056 inpatients were classified into mildly ill(Class Ⅰ), moderately ill(Class Ⅱ), acutely ill(Class Ⅲ), and critically ill(Class Ⅳ) by the PCS which had been carefully developed to be suitable for the Korean nursing units. Second. PCS cost accounting was applied to the above data. The distribution of inpatients, nursing costs, and nursing productivity were as follows : 1) Patient distribution ranged from 45% to class Ⅰ, 36% to class Ⅱ, 15% to class Ⅲ, and 4% to class Ⅳ, the proportion of class Ⅳ in ‘H’ Hospital was greater than that of the other two hospitals. 2) The proportion of Class Ⅲ and Ⅳ in the medical nursing units was greater than that of surgical nursing units. 3) The number of inpatients was greatest on Tuesdays, and least on Sundays. 4) The average nursing cost per hour was W 3,164 for ‘S’ hospital, W 3,511 for ‘H’ hospital and W 4,824 for ‘K’ hospital. The average nursing cost per patient per day was W 14,126 for ‘S’ Hospital, W 15,842 for ‘H’ hospital and W 21,525 for ‘K’ hospital. 5) The average nursing cost calculated by the PCS was W 13,232 for class Ⅰ, W 18,478 for class Ⅱ, W 23,000 for class Ⅲ, and W 25,469 for class Ⅳ. 6) The average nursing cost for the medical and surgical nursing units was W 13,180 and W 13,303 respetively for class Ⅰ, W 18,248 and W 18,707 for class Ⅱ, W 22,303 and W 23,696 for class Ⅲ, and W 24,331 and W 26,606 for class Ⅳ. 7) The nursing costs were composed of 85% for wages and fringe benefits, 3% for material supplies and 12% for overhead. The proportion of wages and fringe benefits among the three Hospitals ranged from 75%, 92% and 98% for the ‘S’, ‘H’, ‘K’ hospitals respectively These findings explain why the average nursing cost of ‘K’ hospital was higher than the others. 8) According to a multi- regression analysis, wages and fringe benefits, material supplies, and overhead had an equal influence on determining the nursing cost while the nursing hours had less influence. 9) The productivity of the medical nursing units were higher than the surgical nursing units, productivity of the D(TS) - nursing units was the lowest while the K(Med) - nursing unit was the highest in 'S' hospital. In ‘H’ hospital, productivity was related to the number of inpatients rather than to the characteristics of the nursing units. The ‘K’ hospital showed the same trend as ‘S’ hospital, that the productivity of the medical nursing unit was higher than the surgical nursing unit. The productivity of ‘S’ hospital was evaluated the highest followed by ‘H’ hospital and ‘K’ hospital. Future research on nursing costs should be extended to the other special nursing areas such as pediatric and psychiatric nursing units, and to ICU or operating rooms. Further, the PCS tool should be carefully evaluated for its appropriateness to all levels of institutions(primary, secondary, tertiary). This study took account only of the quantity of nursing services when developing the PCS tool for evaluating the productivity of nursing units. Future research should also consider the quality of nursing services including the appropriateness of nursing activities.

• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.683-691
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• 1999

It has long been a question which homology class is represented by an embedded 2-sphere in a smooth 4-manifold. In this article we study the adjunction inequality, one of main results of Seiberg-Witten theory in smooth 4-manifolds, for an embedded 2-sphere. As a result, we give a criterion which homology class cannot be represented by an embedded 2-sphere in some cases.

• Kyungpook Mathematical Journal
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• v.55 no.2
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• pp.233-249
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• 2015

This paper is concerned with applications of representations of the Lie group of class $D_4$ to PDE. A realization of all irreducible finite-dimensional representations of $D_4$ is found and their application to a study of solutions of some systems of partial differential equations is given.