• Title/Summary/Keyword: university mathematics

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LOW REGULARITY SOLUTIONS TO HIGHER-ORDER HARTREE-FOCK EQUATIONS WITH UNIFORM BOUNDS

  • Changhun Yang
    • Journal of the Chungcheong Mathematical Society
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    • v.37 no.1
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    • pp.27-40
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    • 2024
  • In this paper, we consider the higher-order HartreeFock equations. The higher-order linear Schrödinger equation was introduced in [5] as the formal finite Taylor expansion of the pseudorelativistic linear Schrödinger equation. In [13], the authors established global-in-time Strichartz estimates for the linear higher-order equations which hold uniformly in the speed of light c ≥ 1 and as their applications they proved the convergence of higher-order Hartree-Fock equations to the corresponding pseudo-relativistic equation on arbitrary time interval as c goes to infinity when the Taylor expansion order is odd. To achieve this, they not only showed the existence of solutions in L2 space but also proved that the solutions stay bounded uniformly in c. We address the remaining question on the convergence of higherorder Hartree-Fock equations when the Taylor expansion order is even. The distinguished feature from the odd case is that the group velocity of phase function would be vanishing when the size of frequency is comparable to c. Owing to this property, the kinetic energy of solutions is not coercive and only weaker Strichartz estimates compared to the odd case were obtained in [13]. Thus, we only manage to establish the existence of local solutions in Hs space for s > $\frac{1}{3}$ on a finite time interval [-T, T], however, the time interval does not depend on c and the solutions are bounded uniformly in c. In addition, we provide the convergence result of higher-order Hartree-Fock equations to the pseudo-relativistic equation with the same convergence rate as the odd case, which holds on [-T, T].

A Study on the Development of a Problem Bank in an Automated Assessment Module for Data Visualization Based on Public Data

  • HakNeung Go;Sangsu Jeong;Youngjun Lee
    • Journal of the Korea Society of Computer and Information
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    • v.29 no.5
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    • pp.203-211
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    • 2024
  • Utilizing programming languages for data visualization can enhance the efficiency and effectiveness in handling data volume, processing time, and flexibility. However, practice is required to become proficient in programming. Therefore public data-based the problem bank was developed to practice data visualization in a programming automatic assessment system. Public data were collected based on topics suggested in the curriculum and were preprocessed to make it suitable for users to visualize. The problem bank was associated with the mathematics curriculum to learn various data visualization methods. The developed problems were reviewed to expert and pilot testing, which validated the level of the questions and the potential of integrating data visualization in math education. However, feedback indicated a lack of student interest in the topics, leading us to develop additional questions using student-center data. The developed problem bank is expected to be used when students who have learned Python in primary school information gifted or middle school or higher learn data visualization.

A Look at the Physics Concept Hierarchy of Pre-service Physics Teacher Through the Knowledge State Analysis Method (지식상태 분석법을 통한 예비 물리교사들의 학년별 물리개념 위계도 분석)

  • Park, Sang-Tae;Byun, Du-Won;Lee, Hee-Bok;Kim, Jun-Tae;Yuk, Keun-Cheol
    • Journal of The Korean Association For Science Education
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    • v.25 no.7
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    • pp.746-753
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    • 2005
  • In order to be efficient teachers should understand the current level of leaners through diagnostic evaluation. However, it is arduous to administer a diagnostic examination in every class because of various limitations. This study examined, the major issues arising from the development of a new science diagnostic evaluation system by incorporating the using knowledge state analysis method. The proposed evaluation system was based on the knowledge state analysis method. Knowledge state analysis is a method where by a distinguished collection of knowledge uses the theory of knowledge space. The theory of knowledge space is very advantageous when analyzing knowledge in strong hierarchies like mathematics and science. It helps teaching plan through methodically analyzing a hierarchy viewpoint for students' knowledge structure. The theory can also enhance objective validity as well as support a considerable amount of data fast by using the computer. In addition, student understanding is improved through individualistic feedback. In this study, an evaluation instrument was developed that measured student learning outcome, which is unattainable from the existing method. The instrument was administered to pre-service physics teachers, and the results of student evaluation was analyzed using the theory of knowledge space. Following this, a revised diagnostic evaluation system for facilitating student individualized learning was constructed.

Estimation of Sediment Provenance Using Clay Mineral Composition in the Central Basin of the Ross Sea Continental Margin, Antarctica (남극 로스해 대륙주변부 중앙분지의 점토광물 조성을 통한 기원 추적)

  • Ha, Sangbeom;Khim, Boo-Keun;Colizza, Ester;Giglio, Federico;Koo, Hyojin;Cho, Hyen Goo
    • Ocean and Polar Research
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    • v.41 no.4
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    • pp.265-274
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    • 2019
  • To trace the provenance of fine-grained sediments in response to the growth and retreat of glaciers (i.e., Ross Ice Sheet) that affects the depositional process, various kinds of analyses including magnetic susceptibility, granulometry, and clay mineral composition with AMS 14C age dating were carried out using a gravity core KI-13-GC2 obtained from the Central Basin of the Ross Sea continental margin. The sediments mostly consist of silty mud to sand with ice-rafted debris, the sediment colors alternate repeatedly between light brown and gray, and the sedimentary structures are almost bioturbated with some faint laminations. Among the fine-grained clay mineral compositions, illite is highest (59.1-76.2%), followed by chlorite (12.4-21.4%), kaolinite (4.1-11.6%), and smectite (1.2-22.6%). Illite and chlorite originated from the Transantarctic mountains (metamorphic rocks and granitic rocks) situated to the south of the Ross Sea. Kaolinite might be supplied from the sedimentary rocks of Antarctic continent underneath the ice sheet. The provenance of smectite was considered as McMurdo volcanic group around the Victoria Land in the western part of the Ross Sea. Chlorite content was higher and smectite content was lower during the glacial periods, although illite and kaolinite contents are almost consistent between the glacial and interglacial periods. The glacial increase of chlorite content may be due to more supply of the reworked continental shelf sediments deposited during the interglacial periods to the Central Basin. On the contrary, the glacial decrease of smectite content may be attributed to less transport from the McMurdo volcanic group to the Central Basin due to the advanced ice sheet. Although the source areas of the clay minerals in the Central Basin have not changed significantly between the interglacial and glacial periods, the transport pathways and delivery mechanism of the clay minerals were different between the glacial and interglacial periods in response to the growth and retreat of Ross Ice Sheet in the Ross Sea.

A Study on Improving the Quality of General Education at an Engineering College - Hongik University, College of Science and Technology - (공과대학의 소양교육 개선 방안 연구 - 홍익대학교 과학기술대학을 중심으로 -)

  • Baek Hyun-Deok;Park Jin-Won;Sim Soo-Man;Shin Pan-Seok
    • Journal of Engineering Education Research
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    • v.8 no.1
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    • pp.84-98
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    • 2005
  • This study is on improving the general engineering education for enhancing the quality of engineers at a local engineering school in which the students are not highly qualified for engineering education. Based on the analysis on the current engineering education by asking questions to professors, students and alumni of Hongik College of Science and Engineering, we have set the basic educational philosophy as educating practical engineers and have decided the goals of basic engineering education as changing to student oriented education, enhancing the field adaptation capability, improving the problem solving ability and introducing engineering design courses. For achieving the foregoing goals, we have changed several basic engineering courses. Mathematics, science courses, computer related courses, English, communication skill related courses are strengthened, but general college education courses are reduced. We also have encouraged students to participate the classes actively and study efficiently, think logically and creatively. For the operational details, we have tried to impose less courses to freshmen and sophomores, to impose the prerequisite courses, to activate summer and winter schools. Finally, we have tried to find the ways to support continuous improvement on the basic engineering education.

A Comparative Study of After Entering College Freshman's Life Based on Their Different University Admission Types (대학입학전형유형별 신입생의 입학 후 대학생활 비교 연구 -K대학 사례분석-)

  • Yang, Eun-Mok;Seo, Chang-Ho;Hong, Do-Won;Kim, Jong-Hun
    • Journal of Digital Convergence
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    • v.14 no.4
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    • pp.437-448
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    • 2016
  • The study conducted Comparative Analysis on the difference of College Scholastic Ability Data divided by type of admission process through the mileage program. Analysis result in following sequence. Leadership and relationships : CSAT(CSAT) > TOSR(subject), CSAT(CSAT+TOSR) is lower than each types ; mainly TOSR(total), TOSR(subject), CSAT(CSAT). Global : CSAT(CSAT+TOSR) & CSAT(CSAT) is higher than mainly TOSR(total) & TOSR(subject). Career and job search : TOSR(total) & TOSR(subject) is higher than mainly CSAT(CSAT+TOSR). Sum of mileage score : CSAT(CSAT) is higher than TOSR(subject) & CSAT(CSAT). Given this as a result, If you look simply at the activities of joint participation of leadership and relationships, student of mainly TOSR(total) admission do well college life with existing research. But with analysis results of K-Leader mileage this research shows that students of mainly CSAT(CSAT) admission do well college life. * CSAT(College Scholastic Ability Test), TOSR(a transcript of school records)

A Study on the Current Status of STEAM Education (우리나라 초·중·고등학교의 STEAM 교육 운영 현황 실태조사)

  • Park, HyunJu;Byun, Soo-yong;Sim, Jaeho;Baek, Yoon Su;Jeong, Jin-Su
    • Journal of The Korean Association For Science Education
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    • v.36 no.4
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    • pp.669-679
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    • 2016
  • The purpose of this study is to investigate the current status of STEAM (Science, Technology, Engineering, Arts, and Mathematics) education in schools by asking a variety of questions including "why and how often they implement STEAM education." This study conducted an online survey on 11,526 elementary, middle, and high schools in South Korea, with the response rate being 56.8% (N = 6,473). To highlight key findings, first, our descriptive analyses suggested that if those that did not respond to the survey were assumed not to have implemented STEAM education, approximately 27.1% (N = 3,127) of all schools in South Korea were believed to have implemented STEAM at best. The highest rate of implementation of STEAM education was found in elementary schools (30.8%), followed by middle (27.4%) and high (17.5%) schools. Second, in contrast with the result for the rate of implementation of STEAM education, high schools showed the highest level of satisfaction. Third, the most important reason for implementing STEAM education within a school was found to be teachers' voluntary efforts or intrinsic motives, followed by support from the provincial office of education. Fourth, the most important reason for not implementing STEAM education was found to be the lack of consensus among teachers. Together, findings highlight the importance of the role of teachers in implementing STEAM education. Offered are policy implications for the better implementation of STEAM education.

Effective Evaluation of Quality of Protection(QoP) in Wireless Network Environments (무선 네트워크 환경에서의 효과적인 Quality of Protection(QoP) 평가)

  • Kim, Hyeon-Seung;Lim, Sun-Hee;Yun, Seung-Hwan;Yi, Ok-Yeon;Lim, Jong-In
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.18 no.6A
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    • pp.97-106
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    • 2008
  • Quality of Protection(QoP) provides a standard that can evaluate networks offering protection. Also, QoP estimates stability of the system by quantifying intensity of the security. Security should be established based on the circumstance which applied to appropriate level, and this should chose a security policy which fit to propose of network because it is not always proportioned that between stability of security mechanism which is used at network and performance which has to be supported by system. With evolving wireless networks, a variety of security services are defined for providing secure wireless network services. In this paper, we propose a new QoP model which makes up for weak points of existing QoP model to choose an appropriate security policy for wireless network. Proposed new QoP model use objectively organized HVM by Flow-based Abnormal Traffic Detection Algorithm for constructing Utility function and relative weight for constructing Total reward function.

Analysis of the Use of Insured Herbal Extracts and Korean Medicinal Treatments in Patients with Allergic Rhinitis : Data from Health Insurance Review and Assessment Service (알레르기 비염 환자의 보험 한약 제제 및 한의 처치 이용 현황 : 건강보험심사평가원 자료 분석)

  • Kim, Jeong-Hun;Ryu, Ji-In;Kang, Chae-Yeong;Hwang, Jin-Seub;Lee, Dong-Hyo
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.34 no.2
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    • pp.38-52
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    • 2021
  • Objectives : The purpose of this study is to analyze the use of insured herbal extracts and Korean medicinal treatments, which are mainly used to treat allergic rhinitis in Korean medicine. Methods : Among all HIRA(Health Insurance Review and Assessment Service) claims data in 2016, we included all statements that included J30(vasomotor and allergic rhinitis) or a subcategory of J30(J30.0, J30.1, J30.2, J30.3, or J30.4) as the main disease, using the Korean Standard Classification of Diseases(KCD-7). This study analyzed the most frequently used insured herbal extracts and Korean medicinal treatments for allergic rhinitis in Korean medicine. We performed a frequency analysis on subgroups based on treatment type(inpatient or outpatient), sex, age, insurance type, and medical institution type. Results : The result shows the 10 most frequently used insured herbal extracts and Korean medicinal treatments for allergic rhinitis. The total number of insured herbal extracts prescriptions was 82,533, and the most commonly prescribed insured herbal extracts was socheongryong-tang(35,131 prescriptions), followed by hyeonggaeyeongyo-tang(18,157 prescriptions), samsoeum(6,257 prescriptions), and galgeun-tang(4,465 prescriptions). The total number of Korean medicinal treatments prescriptions was 1,878,541, of which the most common Korean medicinal treatments was acupuncture(922,977 prescriptions), followed by moxibustion(372,120 prescriptions), cupping(242,094 prescriptions), and segmental acupuncture(161,553 prescriptions). Conclusions : It is expected that the results of this study can be used as a basis for establishing the priorities of evidence-based clinical research topics in the field of Korean medicine and making health care policy decisions to strengthen coverage in the future.

The effect of Virtual Reality sports experience on sports satisfaction, sports immersion, and sports attitude

  • Myung-Soo, Kim;Byung-Nam, Min;Seung-Hwan, Lee;Sung-Hee, Kim;Jae-Hoon, Kim
    • Journal of the Korea Society of Computer and Information
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    • v.28 no.1
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    • pp.129-136
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    • 2023
  • In this paper, we propose the positive effects of Virtual Reality(VR) sports classes and the foundation for VR sports to become the basis of lifelong sports education through the application of physical education classes in sports virtual reality programs are to be provided. For this purpose, the effect of VR sports experience on sports satisfaction, sports immersion, and sports attitude factors was investigated for 281 elementary school students in Busan. Results It was found that VR sports experience had a significant effect on sports satisfaction, sports satisfaction had a significant effect on sports immersion and sports attitude, and sports immersion had a significant effect on sports attitude. The great advantage of sports virtual reality is that sports activities for items that are difficult to deal with in physical education classes and unpopular items will be easily performed. In addition, by using a program that links physical education classes with English and mathematics, physical education will be recognized as a convergence subject by elementary school students, and at the same time, it will become an integrated subject that can acquire fun elements and learning elements at the same time through play or games.