• Title/Summary/Keyword: problem analysis

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A Study on the Educational Analysis of a Mathematical Problem and Systematization of Related Problems (한 가지 수학 문제의 교육적 분석 및 관련된 문제의 체계화에 대한 연구)

  • 한인기
    • The Mathematical Education
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    • v.42 no.1
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    • pp.57-67
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    • 2003
  • In this paper we analyze educational aspects of a mathematical problem. As a result of the analysis, we extract five meaningful mathematical knowledge and ideas. Corresponding with these we suggest some chains of mathematical problems that are expected to activate student's self-oriented mathematical investigation.

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A Method of Sensitivity Analysis for the Infeasible Interior Point Method When a Variable is Added (변수추가시의 비가능 내부점기법의 감도분석)

  • Kim, Woo-Je;Park, Chan-kyoo;Lim, Sungmook;Park, Soondal;Murty , Katta G.
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.1
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    • pp.99-104
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    • 2002
  • This paper presents a method of sensitivity analysis for the infeasible interior point method when a new variable is introduced. For the sensitivity analysis in introducing a new variable, we present a method to find an optimal solution to the modified problem. If dual feasibility is satisfied, the optimal solution to the modified problem is the same as that of the original problem. If dual feasibility is not satisfied, we first check whether the optimal solution to the modified problem can be easily obtained by moving only dual solution to the original problem. If it is possible, the optimal solution to the modified problem is obtained by simple modification of the optimal solution to the original problem. Otherwise, a method to set an initial solution for the infeasible interior point method is presented to reduce the number of iterations required. The experimental results are presented to demonstrate that the proposed method works better.

A Meta-Analysis of Factors Related to Adolescent Problem Drinking (청소년 문제음주와 관련한 영향요인에 대한 메타분석)

  • Chung, Sulki;Kim, Ji Seon
    • Korean Journal of Health Education and Promotion
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    • v.31 no.1
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    • pp.71-83
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    • 2014
  • Objectives: This study examined the trend of alcohol-related research, with a specific focus on adolescent problem drinking, to provide evidence for prevention and intervention for adolescent alcohol problems and alcohol policy in Korea. Methods: A total of 17 studies examining adolescent problem drinking were included for meta-analysis. Using CMA (Comprehensive Meta-Analysis) 2.0, the effect sizes of correlation coefficients of variables related to adolescent problem drinking were analyzed. Results: 176 variables were extracted under 4 higher categories and 20 sub-categories. Variables were extracted using the four higher categories, namely individual, family, environmental, and demographics, as the theoretical framework. Results showed that most studies on adolescent problem drinking focused mostly on individual factors followed by family factors. Variables including drinking motivation, drinking expectancy, and peer relations showed relatively higher effect size. Conclusions: Study findings suggest the importance of balance between individual and environmental factors in examining problem drinking among adolescents. In order to provide evidence for alcohol policy, more attention should be given to macro environment that are known to influence adolescent drinking.

The Analysis of Noise using of Inverse Problem in Acoustic Field (역문제를 이용한 음향장내의 소음해석)

  • 박성완
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.3
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    • pp.66-75
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    • 1999
  • This paper is concerned with a analysis of noise by inverse problem available for analyzing the two and three-dimensional acoustic field problems. The noise of analysis considered in this study can be reduced to an optimum problem to find the optimal set of parameters defining the vibrating state of noise source surfaces. The optimal set of parameters are searched by the standard optimization procedure minimizing the square sum of the residuals between the measured and computed quantities of sound pressure at some points in the acoustic field. Computation is carried out for typical examples in which the noise sources are located on the infinite plane. It is demonstrated that the noise of analysis can be effectively made by using the sensitive reference data.

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Meshfree Analysis of Elasto-Plastic Deformation Using Variational Multiscale Method (변분적 다중 스케일 방법을 이용한 탄소성 변형의 무요소해석)

  • Yeon Jeoung-Heum;Youn Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.8 s.227
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    • pp.1196-1202
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    • 2004
  • A meshfree multi-scale method has been presented for efficient analysis of elasto-plastic problems. From the variational principle, problem is decomposed into a fine scale and a coarse scale problem. In the analysis only the plastic region is discretized using fine scale. Each scale variable is approximated using meshfree method. Adaptivity can easily and nicely be implemented in meshree method. As a method of increasing resolution, partition of unity based extrinsic enrichment is used. Each scale problem is solved iteratively. Iteration procedure is indispensable for the elasto-plastic deformation analysis. Therefore this kind of solution procedure is adequate to that problem. The proposed method is applied to Prandtl's punch test and shear band problem. The results are compared with those of other methods and the validity of the proposed method is demonstrated.

A Study on Optimization Approach for the Quantification Analysis Problem Using Neural Networks (신경회로망을 이용한 수량화 문제의 최적화 응용기법 연구)

  • Lee, Dong-Myung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.1
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    • pp.206-211
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    • 2006
  • The quantification analysis problem is that how the m entities that have n characteristics can be linked to p-dimension space to reflect the similarity of each entity In this paper, the optimization approach for the quantification analysis problem using neural networks is suggested, and the performance is analyzed The computation of average variation volume by mean field theory that is analytical approximated mobility of a molecule system and the annealed mean field neural network approach are applied in this paper for solving the quantification analysis problem. As a result, the suggested approach by a mean field annealing neural network can obtain more optimal solution than the eigen value analysis approach in processing costs.

Design Sensitivity Analysis of Eigen Problem Using NASTRAN (NASTRAN을 이용한 고유치 문제의 설계 민감도 해석)

  • 윤광수;이태희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.508-512
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    • 1997
  • Design sensitivity analysis of Eigen Problem give systematic design improvement information for noise and vibration of a system. Based on reliable results form commercial FE code(UAI/NASTRAN), three computational procedures for design sensitivity analysis of eigen problem are suggested. Those methods are finite difference,design sensitivity analysis using external module and design sensitivity analysis running with NASTRAN. To verify the suggested methods, a numerical example is given and these results are compared with the results from UAI/NASTRAN eigen sensitivity option. We can conclude that design sensitivity coefficient of eigen proplems can be computed outside of the FE code as easy as inside of the FE code.

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An Analysis of Web-Based Adaptive Math Learning Program Components (웹 기반 맞춤형 수학 학습 프로그램 구성 요소 분석)

  • Huh, Nan
    • East Asian mathematical journal
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    • v.34 no.4
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    • pp.451-462
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    • 2018
  • This study analyzed the learning components of the web-based adaptive math learning programs in order to develop adaptive math learning program using artificial intelligence. The components of the web-based adaptive math learning program set for analysis are classified into learning process presentation, concept learning, problem presentation, problem solving process, and learning result processing then analyzed three programs. As a result of analysis, the typical characteristic of components is that it uses a method of repeatedly presenting the same type of problem in order to learn one concept.

SENSITIVITY ANALYSIS OF A SHAPE CONTROL PROBLEM FOR THE NAVIER-STOKES EQUATIONS

  • Kim, Hongchul
    • Korean Journal of Mathematics
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    • v.25 no.3
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    • pp.405-435
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    • 2017
  • We deal with a sensitivity analysis of an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. By using the material derivative method and adjoint variables for a shape sensitivity analysis, we derive the shape gradient of the design functional for the model problem.

Analysis of Dual Mediation Effect of Teamwork Competence and Self-Directed Learning Ability between Daily Creativity and Problem Solving Ability of Engineering Students (일상적 창의성과 문제해결능력의 관계에서 공학계열 대학생의 팀워크역량과 자기주도학습력의 이중매개효과 분석)

  • Bae, Sung Ah;Ok, Seung-Yong;Noh, Soo Rim
    • Journal of Engineering Education Research
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    • v.23 no.6
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    • pp.17-26
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    • 2020
  • In this paper, the effect of daily creativity of engineering students on problem-solving ability is addressed through the dual mediating effect of teamwork competency and self-directed learning ability. To this end, a regression-based statistical mediation analysis has been performed on the dual mediation model in which daily creativity and problem solving ability were treated as independent and dependent variables respectively, and teamwork competence and self-directed learning ability were included as mediation variables. The analysis result confirmed that the daily creativity has direct effect on the problem-solving ability, as well as indirect effects through teamwork competence and self-directed learning ability. In particular, the serial mediating effect of teamwork competency and self-directed learning ability was also confirmed to be statistically significant in the relationship between daily creativity and problem-solving ability. This verifies that problem-solving ability can be improved not only directly by improving daily creativity but also indirectly by improving teamwork competence and self-directed learning ability. In addition, teamwork competency showed greater indirect effect on problem-solving ability than self-directed learning ability, so increasing teamwork competency has a more significant effect on improving problem-solving ability than increasing self-directed learning ability. Therefore, in order to develop better problem-solving ability, it is necessary to identify and improve the learners' teamwork competency first and to strive to create an environment where learners can solve problems based on mutual trust with their teammates.