• Title/Summary/Keyword: Mathematic

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Three Dimensional Correction Factors for the Added Mass Moment of Inertia of Ships in Torsional Vibration (선체(船體)비틂진동(振動)에 있어서의 부가관성(附加慣性)모우멘트 3차원수정계수(次元修正係數))

  • K.C.,Kim;H.S.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.11 no.2
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    • pp.15-22
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    • 1974
  • As for the added mass moment of inertia of ships in torsional vibration, it seems that the works by T. Kumai[1,2] are the only systematic one available currently. The work[1] is for the calculation of the two dimensional correction factors with finitely-long elliptic cylinders as the mathematic model. In this work the authors recalculated the above factors, $J_{\tau}$, with the same mathematic model and the same problem formulation, and presented the numerical results in Fig. 1. The reason why the reinvestigation was done was that in Kumai's work he obtained the solutions of the Mathieu equations, which was derived from the problem formulation for the velocity potential, under the assumption that the dummy constant q involved in the equations was always far less than unity, whereas in fact it takes values within the region of $0<q{\leq}{\infty}$ in sequence. As a result the authors found two remarkable differences in general features of $J_{\tau}$(refer to Fg.3); one that the authors' numerical results are considerably higher than the results given in [2], and the other that for a given number of node those have properties of decreasing monotonically with increase of the beam-draft ratio while these rapidly decrease from a maximum value of near at B/T=2.00 with B/T becoming greater or less than ratio. It seems that the latter trend was resulted from the fact that the assumption of $q{\ll}1$ employed in [2] was more closely satisfied in the vicinity of B/T=2.00.

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A Development and Applications of Problem Solving Tool for Learning Geometry (기하 학습을 위한 문제해결 도구 개발 및 적용)

  • Bae, Jin-Seong;Kim, Kap-Su
    • Journal of The Korean Association of Information Education
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    • v.14 no.3
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    • pp.449-459
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    • 2010
  • Using a geometric computer program achieve learning effects as handling various function and has advantage to overcome the environment of classroom through providing an inquiring surroundings in the figure learning at an elementary school. There are many software for drawing the geometric. But currently most is focus on how to use the softwares without contents. So, It is necessary to develope a geometric software adapted cognitive development of primary schoolchildren. This study is aim to analyze elementary mathematic curriculum based on Van Heiles theory, to develope the software(Geometry for Kids : GeoKids) considering cognitive level of the primary schoolchildren. This software is developed to substitute a ruler and a compass considering cognitive level of the primary schoolchildren. Using mouse, GeoKids software help a child to draw easily lines and circles and this software notice another lines and circle automatically for a more accurate drawing figures. Children can use practically this software in connection with subjects of elementary mathematic curriculum.

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A Case Study about Influence of Primary Mathematic Concepts on the Composition of Mathematic Concepts in 3rd Grade Prodigies of Elementary Schools -Focusing on Addition of Decimals- (수학의 1차적 개념이 초등학교 3학년 영재아의 수학적 개념구성 과정에 미치는 영향에 대한 사례연구 -소수의 덧셈을 중심으로-)

  • Kim, Hwa-Soo
    • The Journal of the Korea Contents Association
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    • v.17 no.9
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    • pp.437-448
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    • 2017
  • This study was conducted as a qualitative case study for examining what transformed primary concepts and transformed schemas were formed for the addition of decimals and how they were formed, and how the relational understanding of the addition of decimals was in three 3rd grade elementary school children who had studied the primary concepts of division, fraction and decimal. That is, this study investigated how the subjects approached problems of decimal addition using transformed primary concepts and transformed schemas formed by themselves, and how the subjects formed concepts and transformed schemas in problem solving. According to the results of this study, transformed primary concepts and transformed schemas formed through the learning of the primary concepts of division, fraction, and decimal functioned as important factors for the relational understanding of decimal addition.

Modelling of effective irradiation swelling for inert matrix fuels

  • Zhang, Jing;Wang, Haoyu;Wei, Hongyang;Zhang, Jingyu;Tang, Changbing;Lu, Chuan;Huang, Chunlan;Ding, Shurong;Li, Yuanming
    • Nuclear Engineering and Technology
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    • v.53 no.8
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    • pp.2616-2628
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    • 2021
  • The results of effective irradiation swelling in a wide range of burnup levels are numerically obtained for an inert matrix fuel, which are verified with DART model. The fission gas swelling of fuel particles is calculated with a mechanistic model, which depends on the external hydrostatic pressure. Additionally, irradiation and thermal creep effects are included in the inert matrix. The effects of matrix creep strains, external hydrostatic pressure and temperature on the effective irradiation swelling are investigated. The research results indicate that (1) the above effects are coupled with each other; (2) the matrix creep effects at high temperatures should be involved; and (3) ranged from 0 to 300 MPa, a remarkable dependence of external hydrostatic pressure can be found. Furthermore, an explicit multi-variable mathematic model is established for the effective irradiation swelling, as a function of particle volume fraction, temperature, external hydrostatic pressure and fuel particle fission density, which can well reproduce the finite element results. The mathematic model for the current volume fraction of fuel particles can help establish other effective performance models.

Assessing Korean Middle School Students' Spatial Ability: The Relationship with Mathematics, Gender, and Grade

  • Park, Sung Sun;Yoon, So Yoon
    • Research in Mathematical Education
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    • v.16 no.2
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    • pp.91-106
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    • 2012
  • Spatial ability has been valued as a talent domain and important skill in mathematics education because it enhanced an intuitive view and an understanding in many areas of mathematic. In addition, spatial ability highly correlates with mathematics achievement, indicating its crucial role in success in mathematics education. Some researchers founded gender differences in mathematics and spatial ability, and indicated that spatial ability served as a mediator of gender difference in mathematics. This study explored the spatial ability of 349 Korean middle school students (Grade 7-9), and investigated the association among students' spatial ability and their mathematics achievement, gender, and grade. The result of this study shows that spatial ability correlates positively with mathematics achievement. While gender difference did not exist in mathematics, significant gender difference existed in spatial ability favoring male students.

Improved DPC Strategy of Grid-connected Inverters under Unbalanced and Harmonic Grid Conditions

  • Shen, Yongbo;Nian, Heng
    • Journal of international Conference on Electrical Machines and Systems
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    • v.3 no.2
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    • pp.169-175
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    • 2014
  • This paper presents an improved direct power control (DPC) strategy for grid-connected voltage source inverter (VSI) under unbalanced and harmonic grid voltage conditions. Based on the mathematic model of VSI with the negative sequence, 5th and 7th harmonic voltage components consideration, a PI controller is used in the proposed DPC strategy to achieve the average output power regulation. Furthermore, vector PI controller with the resonant frequency tuned at the two times and six times grid fundamental frequency is adopted to regulate both negative and harmonic components, and then two alternative targets of the balanced/sinusoidal current and smooth active/reactive output power can be achieved. Finally, simulation results based on MATLAB validate the availability of the proposed DPC strategy.

Novel Topology and Control Strategy of HVDC Grid Connection for Open Winding PMSG based Wind Power Generation System

  • Zeng, Hengli;Nian, Heng
    • Journal of international Conference on Electrical Machines and Systems
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    • v.3 no.2
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    • pp.215-221
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    • 2014
  • To satisfy the high voltage direct current (HVDC) grid connection demand for wind power generation system, a novel topology and control strategy of HVDC grid connection for open-winding permanent magnet synchronous generator (PMSG) based wind power generation system is proposed, in which two generator-side converter and two isolated DC/DC converters are used to transmit the wind energy captured by open winding PMSG to HVDC grid. By deducing the mathematic model of open winding PMSG, the vector control technique, position sensorless operation, and space vector modulation strategy is applied to implement the stable generation operation of PMSG. Finally, the simulation model based on MATLAB is built to validate the availability of the proposed control strategy.

특정 사례터널 해석 결과 및 평가

  • 이두화
    • Proceedings of the Korean Geotechical Society Conference
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    • 1991.10a
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    • pp.195-215
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    • 1991
  • This report deals with the process of the finite element computation and the design of the particular example tunnel (the double track section tunnel for Line 5, 7, 8 of Seoul Subway). The finite element calculations are performed with the program MISES 3 was developed from Austria which have been used in Eroupe. The principles of mechanic and mathematic analysis for the program MISES 3 are based on "The Finite Element Method -3rd Edition" by O.C zienkiewicz. The calculations are approximate analysis method divide continuum into quadrilateral element and calculate deformation and stress, according to the force equations at the node of the element. On the calculation of under excavation, this is a very convenient method and able to calculate compounded structure with tunnel lining and surrounding materials. Although calculated under the same factor and conditions, the result is not same solution, according to the shape of mesh. Therefore , it is important that we collect the construction results of NATM on the spot and by comparing the results of the finite element method with the surveying results review the validity of analysis model.sis model.

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A study on the direction of teaching algorithms with analysis of algorithms (알고리즘 분석을 통한 컴퓨터교육에서의 알고리즘 교육의 방향)

  • Hong, Soon-Jo;Han, Sun-Kwan
    • 한국정보교육학회:학술대회논문집
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    • 2004.08a
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    • pp.236-241
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    • 2004
  • Algorithms is defined "step-by-step procedure for accomplishing a task that we wish to complete." Algorithms has much educational values. Already many scholar is making researches about paper-and-pencil algorithms in mathematic education. The purpose of this paper is to propose a study on the direction of teaching algorithms with analysis of algorithms

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Survey on Mathematics Teachers' Perceptions and the Schools' Reality of the Revised Mathematics Curriculum (2009 개정 수학과 교육과정 개정에 대한 수학교사들의 인식 조사와 현장 실태)

  • Kim, Se Ran;Kim, Young-Ok
    • East Asian mathematical journal
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    • v.31 no.4
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    • pp.421-444
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    • 2015
  • The study conducted a survey on mathematics teachers' perception about the mathematics curriculum and carried out a field survey of schools' compliance of the 2009 revised mathematics curriculum. The questionnaires were distributed to and collected from 36 mathematics teachers in 22 middle and high schools. According to the results of the study, it was found that most mathematics teachers had low interest in and did not feel the necessity and importance of revising the mathematic curriculum. This was because that the necessity and direction of the curriculum revision was not well understood by secondary school teachers, thanks to a hasty revamping. In addition, schools are organizing and operating their own educational programs with the focus on the college entrance exams, regardless of the guidelines of the current revised curriculum.