• Title/Summary/Keyword: ordered group

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On the instruction of concepts of groups in elementary school (초등학교에서의 군 개념 지도에 관한 연구)

  • 김용태;신봉숙
    • Education of Primary School Mathematics
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    • v.7 no.1
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    • pp.43-56
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    • 2003
  • In late 19C, German mathematician Felix Klein declaired "Erlangen program" to reform mathematics education in Germany. The main ideas of "Erlangen program" contain the importance of instructing the concepts of functions and groups in school mathematics. After one century from that time, the importance of concepts of groups revived by Bourbaki in the sense of the algebraic structure which is the most important structure among three structures of mathematics - algebraic structure. ordered structure and topological structure. Since then, many mathematicians and mathematics educators devoted to work with the concepts of group for school mathematics. This movement landed on Korea in 21C, and now, the concepts of groups appeared in element mathematics text as plane rigid motion. In this paper, we state the rigid motions centered the symmetry - an important notion in group theory, then summarize the results obtained from some classroom activities. After that, we discuss the responses of children to concepts of groups.of groups.

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ON SOME PROPERTIES OF MALCEV-NEUMANN MODULES

  • Zhao, Renyu;Liu, Zhongkui
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.445-456
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    • 2008
  • Let M be a right R-module, G an ordered group and ${\sigma}$ a map from G into the group of automorphisms of R. The conditions under which the Malcev-Neumann module M* ((G)) is a PS module and a p.q.Baer module are investigated in this paper. It is shown that: (1) If $M_R$ is a reduced ${\sigma}$-compatible module, then the Malcev-Neumann module M* ((G)) over a PS-module is also a PS-module; (2) If $M_R$ is a faithful ${\sigma}$-compatible module, then the Malcev-Neumann module M* ((G)) is a p.q.Baer module if and only if the right annihilator of any G-indexed family of cyclic submodules of M in R is generated by an idempotent of R.

Public Opinions on Inter-Korean Economic Cooperation: A Survey Analysis

  • JUNG, SEUNG-HO;CHO, YONG-SHIN
    • KDI Journal of Economic Policy
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    • v.43 no.4
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    • pp.23-44
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    • 2021
  • This research attempts to provide an in-depth analysis of the public perceptions of inter-Korean economic cooperation. KDI survey data with a sample size of 1,000 were subjected to empirical analyses. By means of ordered logit estimations, we derive the following results. First, there is a significant effect of age on economic cooperation perceptions, where younger generations tend to be more negative. Second, the group who has positive view on the economic cooperation tends to prefer large-scale, domestic-entity-funded cooperation projects, whereas the group who has negative view tends to prefer small-scale projects and projects funded by international organizations. According to these results, prioritizing trade with the involvement of international organizations is likely to be an effective measure to alleviate potential political constraints and to achieve sustainable long-run economic cooperation systems when pursuing the economic cooperation.

Effects of Walking Exercise on Diabetic Parameters and Vascular Compliance in Type II Diabetes Mellitus Patients (걷기 운동이 성인 제 2형 당뇨병 환자들의 당뇨지표 및 혈관탄성도에 미치는 영향)

  • Park, Sung-Mo;Kim, Gyeong-Cheul;Kim, Lee-Sun;Kwak, Yi-Sub
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.17 no.3
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    • pp.241-252
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    • 2013
  • Objectives The purpose of this study was to investigate the effects of walking exercise on diabetes mellitus indicator and vascular compliance of type 2 diabetes mellitus adults. Methods The subjects were 2 groups; exercise group(n=11, $age=57.36{\pm}8.74$), non-exercise group(n=10, $age=59.20{\pm}5.81$). Walking exercise five or more times a week, and more than 10,000 steps per day with writing the walking diary ordered to the exercise group. For date analysis, mean and standard deviation scores were calculated, and independent t-test was performed. Result After 45 days of walking exercise, weight (p <.01), abdominal obesity rate (p <.05), body fat mass (p <.05) showed significant difference between the groups. but diabetes indicators and vascular compliance tend to decreased in the exercise group, there was no significant difference between the groups. Conclusions Walking exercise is effective in improving body composition.

Important significant factors of health-related quality of life(EQ-5D) by age group in Korea based on KNHANES(2014) (한국인의 연령대에 따른 건강관련 삶의 질(EQ-5D)에 대한 주요 요인 분석)

  • Oh, Hyun Sook
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.3
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    • pp.573-584
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    • 2017
  • The main purpose of this study is to investigate the important impacting factors of health-related quality of life (HRQOL) by different age groups. The subjects of this study were 5,976 adults over 19 based on data from the 2014 Korea National Health and Nutrition Examination Survey and EQ-5D index score was used for the measurement of HRQOL. Three age groups were considered of young (19-39), middle (40-65), and old (over 66) and for each age group Bayesian ordered probit model analysis was fitted to identify significant factors and their effects on HRQOL. Sex, subjective awareness of health, stress and diseases have been identified to be common important factors for all age groups. HRQOL of women is more likely to be lower than that of men. Subjective awareness of health affect positively but stress and diseases affect negatively on HRQOL. For middle age group, occupational activities have been found to be important positive factors on HRQOL. On the other hand, obesity is more important factor influencing on HRQOL negatively and frequent walking is recommended for old age group.

Room Temperature Hydrogen Gas Sensor Based on Carbon Nanotube Yarn (상온감지 가능한 탄소나노튜브 방적사 기반의 수소 감지 센서)

  • Kim, Jae Keon;Lee, Junyeop;Kong, Seong Ho;Jung, Daewoong
    • Journal of Sensor Science and Technology
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    • v.27 no.2
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    • pp.132-136
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    • 2018
  • We report the development of a room-temperature hydrogen ($H_2$) gas sensor based on carbon nanotubes (CNT) yarn. To detect $H_2$ gas in room temperature, a highly ordered CNT yarn was placed on a substrate from a spin-capable CNT forest, followed by the deposition of a platinum (Pt) layer on surface of the CNT yarn. To examine the effect of the Pt-layer on the response of the CNT sensor, a comparative sensing performance was characterized on both the Pt deposited and non-deposited CNT yarn at room temperature. The Pt-CNT yarn yielded high response, whereas the non-deposited CNT yarn showed negligible response for $H_2$ detection at room temperature. Pt is a reliable and efficient catalyst that can substantially improve the detection of $H_2$ gas by chemical sensitization via a "spillover" effect. It can be efficiently utilized to increase the sensitivity and selectivity as well as to obtain fast response and recovery times.

Impact of Inquiry-Based Teaching on Student Attitude toward Mathematics

  • Kim, Taik-H.;Pan, Wei
    • Research in Mathematical Education
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    • v.14 no.3
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    • pp.249-262
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    • 2010
  • Large Midwest university faculty members proposed the Science and Technology Enhancement Program Project (STEP) to improve students' learning in the secondary mathematics classroom using modules of inquiry-based teaching. The purpose of this study was to determine the impact of the STEP Project on students' attitude toward mathematics. Hierarchical linear models (HLM) were used to evaluate the impact of the STEP Project. The sample group for the study was 130 ninth grade students enrolled in Integrated Algebra I in a large urban school district. The school was one of eight secondary schools that participated in the STEP Project. The classes in the treatment group were three of five classes ordered in terms of the highest, middle, and lowest mean GPA. The control group consisted of two other middle GPA classes. The classes had an average of 25 students. Teachers who previously had been involved in the STEP Project taught all treatment and control classes. The inquiry-based teaching activities provided by the project were confined to the treatment classes. The survey measuring students' attitudes toward mathematics were obtained for both groups of students. The inquiry-based teaching affected students' attitudes toward mathematics (p < 0.07, ES = 3.07). Especially, students who had preexisting low attitudes toward mathematics were significantly affected by treatment (p < 0.02, ES = 0.02), while the treatment positively affected African American students overall at p < 0.08 (ES = 0.58).

Multiple Attribute Group Decision Making Problems Based on Fuzzy Number Intuitionistic Fuzzy Information

  • Park, Jin-Han;Kwun, Young-Chel;Park, Jong-Seo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.2
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    • pp.265-272
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    • 2009
  • Fuzzy number intuitionistic fuzzy sets (FNIFSs), each of which is characterized by a membership function and a non-membership function whose values are trigonometric fuzzy number rather than exact numbers, are a very useful means to describe the decision information in the process of decision making. Wang [10] developed some arithmetic aggregation operators, such as the fuzzy number intuitionistic fuzzy weighted averaging (FIFWA) operator, the fuzzy number intuitionistic fuzzy ordered weighted averaging (FIFOWA) operator and the fuzzy number intuitionistic fuzzy hybrid aggregation (FIFHA) operator. In this paper, based on the FIFHA operator and the FIFWA operator, we investigate the group decision making problems in which all the information provided by the decision-makers is presented as fuzzy number intuitionistic fuzzy decision matrices where each of the elements is characterized by fuzzy number intuitionistic fuzzy numbers, and the information about attribute weights is partially known. An example is used to illustrate the applicability of the proposed approach.

Grouping Algorithm for Custom-tailored Products (주문헝제품의 생산을 위한 집합화 알고리즘의 개발)

  • 김승엽;이건우
    • Korean Journal of Computational Design and Engineering
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    • v.7 no.2
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    • pp.131-139
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    • 2002
  • Custom-tailored products always vary their sizes and shapes to satisfy the customers' tastes and requirements but they have to be fabricated as fast as possible when ordered. One way to solve this problem is to prepare several representative products in advance and each custom-tailored product is generated by machining the closest representative product. To realize this approach, it would be necessary to be able to group the products into several groups each of which has a representative product. Once the similar products are identified to be grouped, the representative shape can be generated such that all the products in the group can be made by machining the representative product. The custom-tailored products considered in this work have similar shapes but different sizes. Since these products have free surfaces, that are hard to be compared, their convex hulls are used for the grouping. Among all the products to be grouped, one product is chosen as a base shape. The shape and overall similarity values between the base shape and the remaining shapes are calculated as their convex hulls are rotated virtually. By calculating these similarity values at each rotation, the optimal alignment of the reference shape with respect to the base shape is determined. Overall similarity value at this optimal alignment is used as a measure for grouping. A prototype system based on the proposed methodology has been implemented and used to group the shoe-lasts for custom-tailored shoes.

A Case Study on Social Interaction Acconling to Gender-Grouping (성별 소집단 구성에 따른 상호작용 사례 연구)

  • Kim, Ki-Han;Park, Jong-Seok;Park, Jong-Wook;Kim, Sun-Ja
    • Journal of The Korean Association For Science Education
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    • v.27 no.7
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    • pp.559-569
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    • 2007
  • The purpose of this case study is to analyze the characteristics of social interaction according to gender-grouping in the application of LTTS program. For this study, mixed-gender group A (one boy and three girls or one girl and three boys), mixed-gender group B (two boys and two girls) and same-gender group (4 boys or 4 girls) were formed. Social interactions during group discussions were audio-/video-taped. Social interactions between one boy and one girl in each group were analyzed. The type of social interactions were classified as cognitive and affective interactions. The boy and the girl in the same gender group tended to make suggestion actively, but sometimes they ordered peers to participate or prevented peers from participating. On the other hand, they didn't tend to make suggestion about problem-solving in mixed-gender group A, but made suggestion against peer's opinion using appropriate reasons. The frequency of affective interactions in the mixed gender group B were higher.