• Title/Summary/Keyword: 수학적 표현

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Implementation of integrated monitoring system for trace and path prediction of infectious disease (전염병의 경로 추적 및 예측을 위한 통합 정보 시스템 구현)

  • Kim, Eungyeong;Lee, Seok;Byun, Young Tae;Lee, Hyuk-Jae;Lee, Taikjin
    • Journal of Internet Computing and Services
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    • v.14 no.5
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    • pp.69-76
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    • 2013
  • The incidence of globally infectious and pathogenic diseases such as H1N1 (swine flu) and Avian Influenza (AI) has recently increased. An infectious disease is a pathogen-caused disease, which can be passed from the infected person to the susceptible host. Pathogens of infectious diseases, which are bacillus, spirochaeta, rickettsia, virus, fungus, and parasite, etc., cause various symptoms such as respiratory disease, gastrointestinal disease, liver disease, and acute febrile illness. They can be spread through various means such as food, water, insect, breathing and contact with other persons. Recently, most countries around the world use a mathematical model to predict and prepare for the spread of infectious diseases. In a modern society, however, infectious diseases are spread in a fast and complicated manner because of rapid development of transportation (both ground and underground). Therefore, we do not have enough time to predict the fast spreading and complicated infectious diseases. Therefore, new system, which can prevent the spread of infectious diseases by predicting its pathway, needs to be developed. In this study, to solve this kind of problem, an integrated monitoring system, which can track and predict the pathway of infectious diseases for its realtime monitoring and control, is developed. This system is implemented based on the conventional mathematical model called by 'Susceptible-Infectious-Recovered (SIR) Model.' The proposed model has characteristics that both inter- and intra-city modes of transportation to express interpersonal contact (i.e., migration flow) are considered. They include the means of transportation such as bus, train, car and airplane. Also, modified real data according to the geographical characteristics of Korea are employed to reflect realistic circumstances of possible disease spreading in Korea. We can predict where and when vaccination needs to be performed by parameters control in this model. The simulation includes several assumptions and scenarios. Using the data of Statistics Korea, five major cities, which are assumed to have the most population migration have been chosen; Seoul, Incheon (Incheon International Airport), Gangneung, Pyeongchang and Wonju. It was assumed that the cities were connected in one network, and infectious disease was spread through denoted transportation methods only. In terms of traffic volume, daily traffic volume was obtained from Korean Statistical Information Service (KOSIS). In addition, the population of each city was acquired from Statistics Korea. Moreover, data on H1N1 (swine flu) were provided by Korea Centers for Disease Control and Prevention, and air transport statistics were obtained from Aeronautical Information Portal System. As mentioned above, daily traffic volume, population statistics, H1N1 (swine flu) and air transport statistics data have been adjusted in consideration of the current conditions in Korea and several realistic assumptions and scenarios. Three scenarios (occurrence of H1N1 in Incheon International Airport, not-vaccinated in all cities and vaccinated in Seoul and Pyeongchang respectively) were simulated, and the number of days taken for the number of the infected to reach its peak and proportion of Infectious (I) were compared. According to the simulation, the number of days was the fastest in Seoul with 37 days and the slowest in Pyeongchang with 43 days when vaccination was not considered. In terms of the proportion of I, Seoul was the highest while Pyeongchang was the lowest. When they were vaccinated in Seoul, the number of days taken for the number of the infected to reach at its peak was the fastest in Seoul with 37 days and the slowest in Pyeongchang with 43 days. In terms of the proportion of I, Gangneung was the highest while Pyeongchang was the lowest. When they were vaccinated in Pyeongchang, the number of days was the fastest in Seoul with 37 days and the slowest in Pyeongchang with 43 days. In terms of the proportion of I, Gangneung was the highest while Pyeongchang was the lowest. Based on the results above, it has been confirmed that H1N1, upon the first occurrence, is proportionally spread by the traffic volume in each city. Because the infection pathway is different by the traffic volume in each city, therefore, it is possible to come up with a preventive measurement against infectious disease by tracking and predicting its pathway through the analysis of traffic volume.

Analysis of Highschool Students' Error types and Correction in Learning Function (고등학생들의 함수단원 학습과정에서 나타나는 오류유형 분석과 교정)

  • Yang, Ki-Yeol;Jang, You-Sun
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.23-43
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    • 2010
  • This study is to investigate how much highschool students, who have learned functional concepts included in the Middle school math curriculum, understand chapters of the function, to analyze the types of errors which they made in solving the mathematical problems and to look for the proper instructional program to prevent or minimize those ones. On the basis of the result of the above examination, it suggests a classification model for teaching-learning methods and teaching material development The result of this study is as follows. First, Students didn't fully understand the fundamental concept of function and they had tendency to approach the mathematical problems relying on their memory. Second, students got accustomed to conventional math problems too much, so they couldn't distinguish new types of mathematical problems from them sometimes and did faulty reasoning in the problem solving process. Finally, it was very common for students to make errors on calculation and to make technical errors in recognizing mathematical symbols in the problem solving process. When students fully understood the mathematical concepts including a definition of function and learned procedural knowledge of them by themselves, they did not repeat the same errors. Also, explaining the functional concept with a graph related to the function did facilitate their understanding,

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Study of Multi Floor Plant Layout Optimization Based on Particle Swarm Optimization (PSO 최적화 기법을 이용한 다층 구조의 플랜트 배치에 관한 연구)

  • Park, Pyung Jae;Lee, Chang Jun
    • Korean Chemical Engineering Research
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    • v.52 no.4
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    • pp.475-480
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    • 2014
  • In the fields of researches associated with plant layout optimization, the main goal is to minimize the costs of pipelines for connecting equipment. However, what is the lacking of considerations in previous researches is to handle the multi floor processes considering the safety distances for domino impacts on a complex plant. The mathematical programming formulation can be transformed into MILP (Mixed Integer Linear Programming) problems as considering safety distances, maintenance spaces, and economic benefits for solving the multi-floor plant layout problem. The objective function of this problem is to minimize piping costs connecting facilities in the process. However, it is really hard to solve this problem due to complex unequality or equality constraints such as sufficient spaces for the maintenance and passages, meaning that there are many conditional statements in the objective function. Thus, it is impossible to solve this problem with conventional optimization solvers using the derivatives of objective function. In this study, the PSO (Particle Swarm Optimization) technique, which is one of the representative sampling approaches, is employed to find the optimal solution considering various constraints. The EO (Ethylene Oxide) plant is illustrated to verify the efficacy of the proposed method.

Study on Guidelines for Selecting Traditional Games in Relation to Multiple Intelligence Development (다중지능발달을 위한 민속놀이 선정기준 연구)

  • Kim, Eun Kyung;Kwon, Dae Won
    • Korean Journal of Childcare and Education
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    • v.10 no.5
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    • pp.229-248
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    • 2014
  • The purpose of this study is to draw guidelines on how to select traditional games that would efficiently help and develop multiple intelligences in children. Guidelines standard of section inquiries were prepared through a Delphi survey targeting twenty experts in early childhood education and traditional games. As a result, linguistic intelligence questions regarding writing, listening, speaking and vocabulary acquisition were selected. logical-mathematical intelligence questions regarding strategy, counting, patterns, hypothesis, verification, and comparing, contrasting, calculating ability were selected. Spatial intelligence questions regarding drawing, coloring, representation activities, operating and creating were selected, physical performance intelligence questions regarding global muscles, eye-hand coordination, flexibility, accommodation force, balance, agility and muscular strength were selected. Musical intelligence included questions about singing, and playing musical instruments. Interpersonal intelligence included perspective-taking, role-sharing, cooperation and discussion. For intrapersonal intelligence questions regarding personal significance-ties, planning-decision making, emotional expression and problem solving were selected. Finally, in relation to naturalist intelligence, questions regarding living organisms, inanimate objects and seasons were selected. In addition, traditional games were analyzed based on the finalized guidelines, and the results showed that each of the traditional games would not only work with one intelligence at a time but with other different intelligence as well. In the light of that, the study confirmed the validity of the guidelines on how to select traditional games that would develop multiple intelligences in children.

A Rheological Study on Creep Behavior of Clays (점토(粘土)의 Creep 거동(擧動)에 관한 유변학적(流變學的) 연구(研究))

  • Lee, Chong Kue;Chung, In Joon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.1 no.1
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    • pp.53-68
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    • 1981
  • Most clays under sustained load exhibit time-dependent deformation because of creep movement of soil particles and many investigators have attempted to relate their findings to the creep behavior of natural ground and to the long-term stability of slopes. Since the creep behavior of clays may assume a variety of forms depending on such factors as soil plasticity, activity and water content, it is difficult and complicated to analyse the creep behavior of clays. Rheological models composed of linear springs in combination with linear or nonlinear dashpots and sliders, are generally used for the mathematical description of the time-dependent behavior of soils. Most rheological models, however, have been proposed to simulate the behavior of secondary compression for saturated clays and few definitive data exist that can evaluate the behavior of non-saturated clays under the action of sustained stress. The clays change gradually from a solid state through plastic state to a liquid state with increasing water content, therefore, the rheological models also change. On the other hand, creep is time-dependent, and also the effect of thixotropy is time-function. Consequently, there may be certain correlations between creep behavior and the effects of thixotropy in compacted clays. In addition, the states of clay depend on water content and hence the height of the specimen under drained conditions. Futhermore, based on present and past studies, because immediate elastic deformation occurs instantly after the pressure increment without time-delayed behavior, the factor representing immediate elastic deformations in the rheological model is necessary. The investigation described in this paper, based on rheological model, is designed to identify the immediate elastic deformations and the effects of thixotropy and height of clay specimens with varing water content and stress level on creep deformations. For these purposes, the uniaxial drain-type creep tests were performed. Test results and data for three compacted clays have shown that a linear top spring is needed to account for immediate elastic deformations in the rheological model, and at lower water content below the visco-plastic limit, the effects of thixotropy and height of clay specimens can be represented by the proposed rheological model not considering the effects. Therefore, the rheological model does not necessitate the other factors representing these effects. On the other hand, at water content higher than the visco-plastic limit, although the state behavior of clays is visco-plastic or viscous flow at the beginning of the test, the state behavior, in the case of the lower height sample, does not represent the same behavior during the process of the test, because of rapid drainage. In these cases, the rheological model does not coincide with the model in the case of the higher specimens.

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Survey of Elementary and Middle School Gifted Students' Perceptions on Research Ethics (초ㆍ중등 영재학생의 연구윤리 의식 조사)

  • Lee, Jin-A;Yoo, Mi-Hyun
    • Journal of Gifted/Talented Education
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    • v.23 no.4
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    • pp.593-614
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    • 2013
  • The purpose of this study was to analyze the research ethics elementary and secondary gifted students enrolled in science-gifted education center of university and to get the implications of research ethics education. 180 elementary and secondary gifted students and 180 general students were participated. The results obtained from this study were as follows: First, the item, such as 'The researchers must have self-esteem and responsibility in their study', both the gifted students and the general students showed the highest perception. On the contrary, the item 'I think that it is right to exclude the person who didn't participate in research' both the gifted students and the general students showed the lowest perception. And gifted students' perception on research ethics was higher than the general students' on the whole. There was a statistically significant difference between two groups(p<.05). Second, the scientifically gifted students' research ethics in 'basic attitude of the researchers' was significantly higher than mathematically gifted students' and IT gifted students' (p<.05). Third, there was a statistically significant difference between the elementary gifted students and secondary gifted students in 'ethics of thought and expression' (p<.05). Fourth, experience in research ethics education and the number of research experience was significantly effect on perception of research ethics. There was a statistically significant interaction effect between gifted students and general students in 'science, technology, biomedical research ethics' items(p<.05).

Yeomjae Song Tae-hoe Origin and art world of calligraphy and painting (염재(念齋) 송태회(宋太會) 서화의 연원과 예술세계)

  • Kim Doyoung
    • The Journal of the Convergence on Culture Technology
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    • v.9 no.5
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    • pp.255-262
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    • 2023
  • In the early 20th century, Yeomjae Song Tae-hoe (念齋 宋泰會, 1872-1941), a disciple and onetime adopted son of teacher Song Su-myeon(宋修勉, 1847-1916), moved to Gochang and laid the foundation for Gochang calligraphy and painting, and it can be seen that a full-fledged flow began. Yeomjae Song Tae-hoe was a scholar and calligrapher of the late Joseon Dynasty and modern period from Hwasun, Jeollanam-do. He is a person who created the foundation of Gochang calligraphy and painting while working as an educator in Chinese literature, calligraphy, and painting, mainly in his hometown of Hwasun and Gochang, while engaging in creative activities. He was intelligent from a young age and showed an extraordinary talent for calligraphy. At the age of 16, he passed the Jinsa exam (童蒙進士) and became the youngest student to study at Sungkyunkwan. He was active by holding exhibitions nationwide based in Gochang and Jeonju, and was also an educator who fostered younger students by establishing Gochang High School (currently, Gochang Middle and High School) to cultivate national spirit and history. Yeomjae drew strong and healthy landscape paintings under the absolute influence of the painting style of Saho Song Su-myeon, and dealt with various materials of southern school literati paintings such as flowers and birds and four plants. In particular, he is a representative calligrapher who encompasses the early modern era and the modern era in that he expressed his interest in new cultural artifacts as well as the realization of a modern-oriented realistic landscape based on Korean natural beauty. He laid the foundation for modern and contemporary calligraphy and painting. Goam Lee Eung-no (顧菴 李應魯, 1904-1989), a world-renowned painter, learned the basics of ink painting from Yeomjae in his late teens.However, compared to his various artistic and social activities, it is regrettable that he is limited and evaluated as a local writer.