• Title/Summary/Keyword: Class 4

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GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ≡ 21 (mod 36)

  • Jeon, Daeyeol
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.4
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    • pp.921-925
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    • 2011
  • A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, using Shimura Reciprocity Law, we compute the Galois actions of a class invariant from a generalized Weber function $g_2$ over quadratic number fields with discriminant $D{\equiv}21$ (mod 36).

Difference in the Perception of High School Students on Mathematics Classes by School Class and Region (학교급, 지역에 따른 고등학생의 수학 수업에 대한 인식 차이)

  • Yoo, Ki Jong;Kim, Chang Il
    • Journal for History of Mathematics
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    • v.32 no.4
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    • pp.195-213
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    • 2019
  • This study sampled 6,535 grade 11 or 12 students in South Korea using a stratified random sampling method in order to identify the differences in the perception of students on what a good mathematics class is by school class and region. The results showed that four elements of a good mathematics class were significantly different among school classes and regions.

GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ≡ -3 (mod 36)

  • Jeon, Daeyeol
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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    • pp.853-860
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    • 2010
  • A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, using Shimura Reciprocity Law, we compute the Galois actions of a class invariant from a generalized Weber function $g_2$ over quadratic number fields with discriminant $D{\equiv}-3$ (mod 36).

THE DISTRIBUTIONS AND TRENDS IN MALOCCLUSION PATIENTS - A 10 year study of 2155 patients from YDSH (연세대학교 영동세브란스병원 교정과에 내원한 부정교합 환자의 분포 및 경향에 관한 연구)

  • Baik, Hyoung-Seon;Kim, Kyung-Ho;Park, Yul
    • The korean journal of orthodontics
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    • v.25 no.1 s.48
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    • pp.87-100
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    • 1995
  • Distributions and trends were examined in 2155 malocclusion patients who had been examined and diagnosed at Deparment of Orthodontics in Youngdong Severance Hospital over a 10 year-period from 1984 to 1993. The results were as follows ; 1. The number of patients per you had nearly quadrupled during the 10 year-period, with females($58.3\%$) outnumbering males ($41.7\%$). 2. Age distribution had shown 7-12 year-old group being the largest($53.3\%$), but percentages of 7-12 year-old and 13-18 year-old groups had been decreasing while that of above-19 patients had gradually incresed. 3. Distributions in the types of malocclusion according to the Angle's Classification had shown $27.8\%$ for Class I, $22.6\%$ for Class II division 1, $7.9\%$ for Class II division 2, and $41.6\%$ for Class III. Percentages of Class I patients had decreased while percentages of Class II and III patients had increased. 4. Non-extraction cases ($75.4\%$) had outnumbered extraction cases ($24.6\%$), with a general trend toward fewer extraction cases over the 10 year period. 5. Patients who had orthognathic surgery had been increasing, with Class I, II, and III cases comprising $8.8\%,\;16.9\%\;and\;74.3\%$, respectively. There had been three times as newly 2-jaw operations as 1-jaw operations. 6. Nearly $4\%$ of the subjects had facial asymmetries, with Class III cases being the most frequent. 7. Patients with TMD symptoms comprised $4.6\%$, with an increasing trend. The symptoms had occurred more frequently in older patients and in females. 8. Geograpic distributions showed majority (3/4) of patients from the nearby areas, namely Gangnam-gu, Seocho-gu and Songpa-gu.

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QoS aware Multi-class scheduler in WiMAX System (WiMAX 시스템에서 QoS에 기반한 Multi-Class 스케줄러)

  • Lee, Ju-Hyeon;Park, Hyung-Kun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.4
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    • pp.820-822
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    • 2010
  • Mobile WiMAX system provides various classes of traffic such as real-time and non-realtime services. These services have different QoS requirements and the QoS aware scheduling has been an important issue. Although many of scheduling algorithms for various services in OFDMA system have been proposed, it is needed to be modified to be applied to Mobile WiMAX system. Since Mobile WiMAX supports five kinds of service classes, it is important to take QoS characteristics of each class into consideration. In this paper, we propose an efficient packet scheduling algorithm to support QoS of each class. Proposed scheme selects a service class first considering QoS Characteristics of each class and choose an appropriate user in the selected class. Simulation results show that the proposed algorithm has better performance than the other algorithm.

The Relationships between the Preservice Elementary Teachers' Goal Orientations for Science Teaching and Their Images of Science Class (초등학교 예비교사의 교수목표 지향성과 과학 수업 이미지 사이의 관계)

  • Jeon, Kyungmoon
    • Journal of Korean Elementary Science Education
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    • v.37 no.4
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    • pp.430-439
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    • 2018
  • The preservice elementary teachers' goal orientations for science teaching (mastery/ability-approach/ ability-avoidance/work-avoidance goal) were measured. We also examined how the goal orientations were related to their images of science class (preferred/avoided). The results showed that the student teachers (75 males and 82 females) tended to have the mastery or ability-approach goals rather than the ability-avoidance or work-avoidance goals for science teaching. For avoided class, they tended to show teacher-centered components (eg., teacher: lecturing, students: watching and listening, environment: chalkboard), while rarely to show such teacher-centered components for preferred class. Regarding the relationships between the goal orientations and the images of science class, the significantly positive relationship was found between the ability-approach goal orientation and teacher-centered image of avoided class. However, the teacher-centered image for preferred class was positively related to the ability-avoidance goal orientation. The educational implications and future directions were discussed.

Determination of Cost and Measurement of nursing Care Hours for Hospice Patients Hospitalized in one University Hospital (일 대학병원 호스피스 병동 입원 환자의 간호활동시간 측정과 원가산정)

  • Kim, Kyeong-Uoon
    • Journal of Korean Academy of Nursing Administration
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    • v.6 no.3
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    • pp.389-404
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    • 2000
  • This study was designed to determine the cost and measurement of nursing care hours for hospice patients hostpitalized in one university hospital. 314 inpatients in the hospice unit 11 nursing manpower were enrolled. Study was taken place in C University Hospital from 8th to 28th, Nov, 1999. Researcher and investigator did pilot study for selecting compatible hospice patient classification indicators. After modifying patient classification indicators and nursing care details for general ward, approved of content validity by specialist. Using hospice patient classification indicators and per 5 min continuing observation method, researcher and investigator recorded direct nursing care hours, indirect nursing care hours, and personnel time on hospice nursing care hours, and personnel time on hospice nursing care activities sheet. All of the patients were classified into Class I(mildly ill), Class II (moderately ill), Class III (acutely ill), and Class IV (critically ill) by patient classification system (PCS) which had been carefully developed to be suitable for the Korean hospice ward. And then the elements of the nursing care cost was investigated. Based on the data from an accounting section (Riccolo, 1988), nursing care hours per patient per day in each class and nursing care cost per patient per hour were multiplied. And then the mean of the nursing care cost per patient per day in each class was calculated. Using SAS, The number of patients in class and nursing activities in duty for nursing care hours were calculated the percent, the mean, the standard deviation respectively. According to the ANOVA and the $Scheff{\'{e}$ test, direct nursing care hours per patient per day for the each class were analyzed. The results of this study were summarized as follows : 1. Distribution of patient class : class IN(33.5%) was the largest class the rest were class II(26.1%) class III(22.6%), class I(17.8%). Nursing care requirements of the inpatients in hospice ward were greater than that of the inpatients in general ward. 2. Direct nursing care activities : Measurement ${\cdot}$ observation 41.7%, medication 16.6%, exercise ${\cdot}$ safety 12.5%, education ${\cdot}$ communication 7.2% etc. The mean hours of direct nursing care per patient per day per duty were needed ; 69.3 min for day duty, 64.7 min for evening duty, 88.2 min for night duty, 38.7 min for shift duty. The mean hours of direct nursing care of night duty was longer than that of the other duty. Direct nursing care hours per patient per day in each class were needed ; 3.1 hrs for class I, 3.9 hrs for class II, 4.7 hrs for class III, and 5.2 hrs for class IV. The mean hours of direct nursing care per patient per day without the PCS was 4.1 hours. The mean hours of direct nursing care per patient per day in class was increased significantly according to increasing nursing care requirements of the inpatients(F=49.04, p=.0001). The each class was significantly different(p<0.05). The mean hours of direct nursing care of several direct nursing care activities in each class were increased according to increasing nursing care requirements of the inpatients(p<0.05) ; class III and class IV for medication and education ${\cdot}$ communication, class I, class III and class IV for measurement ${\cdot}$ observation, class I, class II and class IV for elimination ${\cdot}$ irrigation, all of class for exercise ${\cdot}$ safety. 3. Indirect nursing care activities and personnel time : Recognization 24.2%, house keeping activity 22.7%, charting 17.2%, personnel time 11.8% etc. The mean hours of indirect nursing care and personnel time per nursing manpower was 4.7 hrs. The mean hours of indirect nursing care and personnel time per duty were 294.8 min for day duty, 212.3 min for evening duty, 387.9 min for night duty, 143.3 min for shift duty. The mean of indirect nursing care hours and personnel time of night duty was longer than that of the other duty. 4. The mean hours of indirect nursing care and personnel time per patient per day was 2.5 hrs. 5. The mean hours of nursing care per patient per day in each class were class I 5.6 hrs, class II 6.4 hrs, class III 7.2 hrs, class IV 7.7 hrs. 6. The elements of the nursing care cost were composed of 2,212 won for direct nursing care cost, 267 won for direct material cost and 307 won for indirect cost. Sum of the elements of the nursing care cost was 2,786 won. 7. The mean cost of the nursing care per patient per day in each class were 15,601.6 won for class I, 17,830.4 won for class II, 20,259.2 won for class III, 21,452.2 won for class IV. As above, using modified hospice patient classification indicators and nursing care activity details, many critical ill patients were hospitalized in the hospice unit and it reflected that the more nursing care requirements of the patients, the more direct nursing care hours. Emotional ${\cdot}$ spiritual care, pain ${\cdot}$ symptom control, terminal care, education ${\cdot}$ communication, narcotics management and delivery, attending funeral ceremony, the major nursing care activities, were also the independent hospice service. But it is not compensated by the present medical insurance system. Exercise ${\cdot}$ safety, elimination ${\cdot}$ irrigation needed more nursing care hours as equal to that of intensive care units. The present nursing management fee in the medical insurance system compensated only a part of nursing car service in hospice unit, which rewarded lower cost that that of nursing care.

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A NEW CLASS OF INTERPOLATORY HERMITE SUBDIVISION SCHEMES REPRODUCING POLYNOMIALS

  • Jeong, Byeongseon
    • East Asian mathematical journal
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    • v.38 no.3
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    • pp.365-377
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    • 2022
  • In this paper, we present a new class of interpolatory Hermite subdivision schemes of order 2 reproducing polynomials. Each member in this class, denoted by Hn for n ≥ 1, preserves polynomials of degree up to 4n + 1 admitting the approximation order of 4n + 2. Furthermore, it has free parameters which provide flexibility in designing curves/surfaces. H1, the simplest and the most attractive scheme in this class, achieves C4 smoothness with the parameters in certain ranges, and its performance is demonstrated with numerical examples.

MAXILLARY INCISOR CROWN-ROOT ANGLE(COLLUM ANGLE) IN DIFFERENT MALOCCLUSIONS (부정교합 분류에 따른 상악 중절치의 치관-치근 각도(Collum Angle)에 대한 연구)

  • Hong, Hee-Sook;Baik, Hyoung-Seon
    • The korean journal of orthodontics
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    • v.25 no.4
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    • pp.453-463
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    • 1995
  • Most commonly used axis for central incisors in lateral cephalometric radiographs is the line connecting root apex and incisor edge. However, crown axis and root axis do not always coincide in cases of malocclusion patients. The angle created by these axis are called the collum angle, which should be considered in orthodontic diagnosis and treatment. In this study, 31 Class I malocclusion, 30 Class II division 1 malocclusion, 31 Class II division 2 malocclusion, and 31 Class m malocclusion patients were selected and their collum angles were measured. Correlation between these angles and malocclusions was investigated, and the correlation analysis with other parameters in cephalometrics was done. The results were as follows ; 1. The mean collum angles according to the types of malocclusions are ; $3.11^{\circ}{\pm}3.54^{\circ}$ for Class I, $1.23^{\circ}{\pm}2.41^{\circ}$ for Class II division 1, $3.77^{\circ}{\pm}4.39^{\circ}$ for Class II division 2, and $3.90^{\circ}{\pm}4.08^{\circ}$ for Class III malocclusion. 2. Statistically significant differences in collum angles were noted between Class II division 1 group and Class II division 2 and Class III group. 3. Significant correlations were found between collum angles and other parameters used in cephalometrics, namely IMPA for Class I, Wits for Class II division 1, Overbite for Class II division 2 and for ClassIII.

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