• Title/Summary/Keyword: Class number

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8-RANKS OF CLASS GROUPS OF IMAGINARY QUADRATIC NUMBER FIELDS AND THEIR DENSITIES

  • Jung, Hwan-Yup;Yue, Qin
    • Journal of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1249-1268
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    • 2011
  • For imaginary quadratic number fields F = $\mathbb{Q}(\sqrt{{\varepsilon}p_1{\ldots}p_{t-1}})$, where ${\varepsilon}{\in}${-1,-2} and distinct primes $p_i{\equiv}1$ mod 4, we give condition of 8-ranks of class groups C(F) of F equal to 1 or 2 provided that 4-ranks of C(F) are at most equal to 2. Especially for F = $\mathbb{Q}(\sqrt{{\varepsilon}p_1p_2)$, we compute densities of 8-ranks of C(F) equal to 1 or 2 in all such imaginary quadratic fields F. The results are stated in terms of congruence relation of $p_i$ modulo $2^n$, the quartic residue symbol $(\frac{p_1}{p_2})4$ and binary quadratic forms such as $p_2^{h+(2_{p_1})/4}=x^2-2p_1y^2$, where $h+(2p_1)$ is the narrow class number of $\mathbb{Q}(\sqrt{2p_1})$. The results are also very useful for numerical computations.

Study on Textile Product Development and Song HaYoung Class Satisfaction through Capstone Design Curriculum (캡스톤디자인 교육과정을 통한 텍스타일 상품개발 제안 및 수업만족도 고찰)

  • Song, HaYoung
    • Journal of Fashion Business
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    • v.23 no.5
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    • pp.124-136
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    • 2019
  • Capstone design is a creative and comprehensive educational program requiring practical adaptation skills for the industry. The purpose of this study was to analyze the results of design development, lectures and curriculum satisfaction for textile fashion products based on four years of capstone design curriculum from 2015 to 2018. The curriculum consists of 26 groups of 72 students and a total of 26 final results were obtained via industry-university cooperation. The materials for product design development included differentiated clothing, leisure goods, bags, dog goods, smart goods, interior goods and recycled products based on textiles. The degree of satisfaction with lectures involving the capstone design class was very high, with 4.2 out of 5.0 when the number of students was less than 10. However, when the number of students was 20 or higher and the number of students was large, the level of satisfaction was below 3.88. Therefore, the capstone design class comprising less than 10 students was better at individual teaching and teamwork. In terms of satisfaction with capstone design curriculum, the respondents indicated that the teaching method addressing the needs of industry and academia facilitated practical learning. It was very helpful in improving competency related to the design and development majors and future employment. The capstone design curriculum was effective in the training for practical design development and planning.

Reliability of Education and Occupational Class: A Comparison of Health Survey and Death Certificate Data (면접조사자료와 사망등록자료 간 교육수준 및 직업계층의 신뢰도)

  • Kim, Hye-Ryun;Khang, Young-Ho
    • Journal of Preventive Medicine and Public Health
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    • v.38 no.4
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    • pp.443-448
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    • 2005
  • Objectives : This study was done to evaluate the reliability of education and occupational class between using the health survey and the death certificate data. Methods : The 1998 National Health and Nutrition Examination Survey (NHANES) was conducted on a cross-sectional probability sample of South Korean households, and it contained unique 13-digit personal identification numbers that were linked to the data on mortality from the Korean National Statistical Office. The data from 263 deaths were used to estimate the agreement rates and the Kappa indices of the education and occupational class between using the NHANES data and the death certificate data. Results : The simple and weighted Kappa indices for education were 0.60 (95% CI=0.53-0.68) and 0.73 (95% CI=0.67-0.79) respectively, if the educational level was grouped into five categories: no-formal-education, elementary-school, middle-school, high-school and college or over. The overall agreement rate was 71.9% for these educational groups. The magnitude of reliability, as measured by the overall agreement rates and Kappa indices, tended to increase with a decrease in the educational class. The number of non-educated people with using the death certificate data was smaller than that with using the NHANES data. For the occupational class (manual workers, non-manual workers and others), the Kappa index was 0.40 (95% CI=0.30-0.51), which was relatively lower than that for the educational class. Compared with the NHANES, the number of non-manual workers for the deceased who were aged 30-64 tended to be increased (8 to 12) when using the death certificate data, whereas the number of manual workers tended to be decreased (59 to 41). Conclusions : The socioeconomic inequalities in the mortality rates that were based on the previous unlinked studies in South Korea were not due to a numerator/denominator bias. The mortality rates for the manual workers and the no-education groups might have been underestimated.

Calculation of nursing care hours in a pediatric oncology nursing unit (일개 대학병원의 소아혈액종양 간호단위의 간호업무량 측정)

  • Kim, Young-Mee
    • Journal of Korean Academy of Nursing Administration
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    • v.5 no.3
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    • pp.513-524
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    • 1999
  • The shortage of nursing personnel was become one of the most serious problems in operating pediatric oncology nursing unit which was the first pediatric oncology nursing unit in Korea. The purpose of this study was to estimate the optimal number of nursing personnel by calculating nursing care hours. The subjects were 13 staff nurses and inpatients of pediatric oncology nursing unit at Seoul National University Hospital during the period of May 20, 1996, to June 2, 1996. The number of nurses' duty was 132, the number of patients treated was 1288 for these 2 weeks. The tools used for this study were pediatric patient classification indexes and direct & indirect care indexes. Each nurse measured the time that they spent for their activities by self record under the supervision of their nurse manager. The method used to calculate the number of nursing personnel was multiplication of the average number of nursing care hours per patient per day with the number of patients. Percentage, average, t-test, F-test were used for data analysis. The results of this study were as follows : 1) The distribution of patient class : Class I & II none, Class III 86.8%. Class IV 12.9% 2) Direct nursing care hours for a patient per shift according to patient classification: Class III : 27.64 minutes, Class IV : 54.64 minutes The average direct nursing service hours for a patient per shift(3 shift) was 31.54 minutes(94.62 m/day). The average indirect nursing service hours for each patient per duty(3 shift) is 21.3 minutes (63. 91 m/day). 3) The average nursing hours for a patient per duty was 52.80 minutes(2.64h/day). 4) The group of administering medications in direct care activities showed the highest percentage (38.9%). Checking vital signs among observation took the most time am.ong each direct care activity (6.88 minutes for a patient per duty). 5) Charting took the most time of each indirect care activity(52.53 minutes/ duty/nurse). 6) The average personal time per duty is 29.40 minutes, which 'was below 30 minutes of this hospital regulations. 7) The average nursing hours that a nurse provided for a duty was 8.60 hours, which meant that a nurse worked 1.10 hours overtime. 8) Standardizing to a 33 bed to a unit, 17 nurses were needed at the present nursing level.

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CERTAIN REAL QUADRATIC FLELDS WITH CLASS NUMBERS 1, 3 AND 5

  • Park, Joong-Soo
    • The Pure and Applied Mathematics
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    • v.7 no.1
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    • pp.27-32
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    • 2000
  • The quadratic fields generated by $x^2$=ax+1($\alpha\geq$1) are studied. The regulators are relatively small and are known at one. The class numbers are relatively large and easy to compute. We shall find all the values of p, where p=$\alpha^2$+4 is a prime in $\mathbb{Z}$, such that $\mathbb{Q}(\sprt{p})$ has class numbers 1, 3 and 5.

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ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS

  • Bae, Sung-Han;Jung, Hwan-Yup
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.49-67
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    • 2012
  • In this paper we give asymptotic formulas for the number of ${\ell}$-cyclic extensions of the rational function field $k=\mathbb{F}_q(T)$ with prescribe ${\ell}$-class numbers inside some cyclotomic function fields, and density results for ${\ell}$-cyclic extensions of k with certain properties on the ideal class groups.

Five-year investigation of a large orthodontic patient population at a dental hospital in South Korea

  • Piao, Yongxu;Kim, Sung-Jin;Yu, Hyung-Seog;Cha, Jung-Yul;Baik, Hyoung-Seon
    • The korean journal of orthodontics
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    • v.46 no.3
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    • pp.137-145
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    • 2016
  • Objective: The purpose of this study was to investigate the characteristics of orthodontic patients at Yonsei Dental Hospital from 2008 to 2012. Methods: We evaluated Angle's classification from molar relationships, classification of skeletal malocclusion from the A point-nasion-B point angle, facial asymmetry, and temporomandibular joint disorders (TMDs) from the records of 7,476 patients who received an orthodontic diagnosis. The orthognathic surgery rate, extraction rate, and extraction sites were determined from the records of 4,861 treated patients. Results: The patient number increased until 2010 and gradually decreased thereafter. Most patients were aged 19-39 years, with a gradual increase in patients aged ${\geq}40years$. Angle's Class I, Class II divisions 1 and 2, and Class III malocclusions were observed in 27.7%, 25.6%, 10.6%, and 36.1% patients, respectively, with a gradual decrease in the frequency of Class I malocclusion. The proportion of patients with skeletal Class I, Class II, and Class III malocclusions was 34.3%, 34.3%, and 31.4%, respectively, while the prevalence of facial asymmetry and TMDs was 11.0% and 24.9%, respectively. The orthognathic surgery rate was 18.5%, with 70% surgical patients exhibiting skeletal Class III malocclusion. The overall extraction rate among nonsurgical patients was 35.4%, and the maxillary and mandibular first premolars were the most commonly extracted teeth. Conclusions: The most noticeable changes over time included a decrease in the patient number after 2010, an increase in the average patient age, and a decrease in the frequency of Angle's Class I malocclusion. Our results suggest that periodic characterization is necessary to meet the changing demands of orthodontic patients.

A Study on the Status of Plan Type and Area at Elementary School Facilities - by Analyzing Architectural Plans - (초등학교(初等學校) 교사(校舍) 평면유형(平面類型) 및 면적(面積)의 현황(現況)에 관한 연구(硏究) - 평면도(平面圖)의 분석(分析)을 통해 -)

  • Rieu, Ho-Seoup
    • Journal of the Korean Institute of Educational Facilities
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    • v.8 no.5
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    • pp.5-16
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    • 2001
  • This paper presents results from analysis of architectural plan drawings of 355 elementary schools recently designed for 4 years. Theses plans are analyzed by factors such as local distribution, number of classes, type of plan, total construction area, area per a class, area per a student, and area status of each space. The purpose of this study is to provide fundamental resources for architectural designing and planning of elementary schools through finding trend and status of elementary school buildings that have no detailed data of area index. The results of this study are as follows: 1. As a result from analyzing number of classes in the surveyed schools, schools having 36 classes are dominant and schools having 72 classes are also shown. Average number of classes is 34.1. This result reflect s that elementary schools have been planned as large-scale schools. 2. In terms of type of plan, we found out that instead of disappearing traditional single corridor type building, the open school building that have multi-purpose spaces are mainly designed. In addition to that, there are few schools with large class rooms. 3. In the status of area of each school, they have much larger areas than areas provided by building guidelines. Secondly, there are some schools with two times area difference even though they have same class number. Therefore, it needs to adjust the school building guidelines to practical needs in the consideration of elementary school building for compulsory education. Though the plans of recently designed school for 4 year s are more differentiated than past, there are few schools planned by appropriate plan design and area distribution scheme. As a consequence, some improvements like improvement of building guidelines are desperate.

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A survey of the actual operating status of coastal composite fishery (octopus pot) in the Jeonnam waters (전남지역 연안복합(문어단지) 어업의 조업실태 조사)

  • KOO, Myung-Sung;CHO, Sam-Kwang;BAE, Bong-Seong;CHA, Bong-Jin
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.57 no.4
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    • pp.292-301
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    • 2021
  • Interviews and boarding surveys were conducted in order to understand the actual usage of octopus pot in the coastal composite fishery in Jeollanam-do. According to the results of the interviews conduced by visiting the areas (Goheung, Yeosu and Wando), the number of octopus pots per nine-ton vessel were 30,000-80,000, and the number of daily usage pots were 7,000-10,000. The number of octopus pots per four-ton vessel was 40,000, and the number of daily usage pots were 4,000. As a result of the survey on two octopus pot fishing boats (9.77-ton and 4.99-ton) in Yeosu area, the daily catch weight of 9-ton class vessel was the minimum of 66.9 kg and the maximum of 159.6 kg. The daily catch weight of the four-ton class fishing vessel was from 31.3 kg to maximum 85.6 kg. The average number of octopus pot used per day in the nine-ton class vessel was 6,821 (the minimum of 6,031 and the maximum of 7,697) and 3,181 (the minimum of 2,282 and the maximum of 3,878) in the four-ton class vessel.

ANALYSIS OF K-CLASS-BASED DEDICATED STORAGE POLICY IN A UNIT LOAD SYSTEM

  • Yang, Moon-Hee;Rhee, Min-Surp
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.505-516
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    • 2007
  • In this paper, we provide some fundamental properties and basic theoretical results of K-class-based dedicated storage policy in a unit load system assuming the constant-space assumption that the number of storage locations for a class is not the maximum aggregate inventory position for a class but the sum of space requirement for products assigned to the class. The main theorem is that there exists a (K+1) -class-based storage layout whose expexted single command (SC) travel time is not greater than that of a K-class-based storage layout, i.e, $E(SC^*_{K+1}){\leq}E(SC^*_K)\;for\;K=1,{\cdots}$, (n-1).