• 제목/요약/키워드: mathematical performances

검색결과 175건 처리시간 0.026초

수학예제를 이용한 다분야통합최적설계 방법론의 비교 (Comparison of MDO Methodologies With Mathematical Examples)

  • 이상일;박경진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.822-827
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    • 2005
  • Recently engineering systems problems become quite large and complicated. For those problems, design requirements are fairly complex. It is not easy to design such systems by considering only one discipline. Therefore, we need a design methodology that can consider various disciplines. Multidisciplinary Design Optimization (MDO) is an emerging optimization method to include multiple disciplines. So far, about seven MDO methodologies have been proposed for MDO. They are Multidisciplinary Feasible (MDF), Individual Feasible (IDF), All-at-Once (AAO), Concurrent Subspace Optimization (CSSO), Collaborative Optimization (CO), Bi-Level Integrated System Synthesis (BLISS) and Multidisciplinary Optimization Based on Independent Subspaces (MDOIS). In this research, the performances of the methods are evaluated and compared. Practical engineering problems may not be appropriate for fairness. Therefore, mathematical problems are developed for the comparison. Conditions for fair comparison are defined and the mathematical problems are defined based on the conditions. All the methods are coded and the performances of the methods are compared qualitatively as well as quantitatively.

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Analyzing Errors Made by Eighth-Grade Students in Solving Geometrical Problems

  • Huang, Xingfeng;Cheng, Longhai
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제15권4호
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    • pp.357-371
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    • 2011
  • In mathematical problem solving, students may make various errors. In order to draw useful lessons from the errors, and then correct them, we surveyed 24 eighth-grade students' performances in geometrical problem solving according to Casey's hierarchy of errors. It was found that: 1. Students' effect can lead to errors at the stage of "comprehension", "strategy selection", and "skills manipulation"; and 2. Students' geometric schemas also influenced their strategy selection".

Beyond Accuracy and Speed: Task Demands and Mathematical Performance

  • Sun, Xuhua Susanna
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제16권3호
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    • pp.155-176
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    • 2012
  • It is an important issue to explore classroom environments which are conducive to developing students' mathematical performance. This study explores the effects of different classroom environments (solution-demand and corresponding-time setting) on mathematical performances. Fourteen and eighteen prospective teachers were required to prove a task under different conditions respectively: a) Cognitive demand of multiple-solution corresponding time of three hours, and b) Cognitive demand of a right solution corresponding time of 20 minutes. We used SOLO as the assessment tool for mathematical performance from quality perspective. Significant differences were found in the quantity and quality of mathematical performance. The regular environment focusing on speed and accuracy were found to be directly linked to low levels of performance. The findings above provide implications to the cognitive benefits of multiple-solution demand and corresponding time setting.

Performance Limits of Three-Phase Self-Excited Induction Generator (SEIG) as a Stand Alone DER

  • Slimene, Marwa Ben;Khlifi, Mohamed Arbi
    • Journal of Electrical Engineering and Technology
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    • 제12권1호
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    • pp.145-150
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    • 2017
  • This paper present a unified method of steady state performance analysis and limits characteristics of an autonomous three-phase self-excited induction generator (SEIG) driven by a wind turbine under different types of loads and speeds. The proposed method is based on a new mathematical function to solve for the real and imaginary components of the complex equation of the mathematical model. Performances limits, regulation and characteristics of different configurations will be thoroughly examined and compared. The proposed system will be modeled and simulated and the performance limits characteristics will be compared with variable speed and variable capacity.

When 5004 is Said "Five Thousand Zero Hundred Remainder Four": The Influence of Language on Natural Number Transcoding: Cross-National Comparison

  • Nguyen, Hien Thi-Thu;Gregoire, Jacques
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제18권2호
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    • pp.149-170
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    • 2014
  • The Vietnamese language has a specific property related to the zero in the name-number system. This study was conducted to examine the impact of linguistic differences and of the zero's position in a number on a transcoding task (verbal number into Arabic number). Vietnamese children and French-speaking Belgian children, from grades 3 to 6, participated in the study. The success rate and the type of errors they made varied, depending on their grade and language. At Grade 4, Vietnamese children showed performances equivalent to Grade 6 Belgian children. Our results confirmed the support provided by language to the understanding and performances in a transcoding task. Results also showed that a syntactic zero is easier to manipulate than a lexical zero for Vietnamese children. The relative influence of language and the source of errors are discussed.

만타형상 무인잠수정의 운동성능 해석 및 제어기 설계를 위한 비선형 수학모델 개발 (Mathematical Modeling for Dynamic Performance Analysis and Controller Design of Manta-type UUV)

  • 변승우;김준영
    • 한국산학기술학회논문지
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    • 제11권1호
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    • pp.21-28
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    • 2010
  • 본 논문에서는 만타형상 무인잠수정(Manta-type unmanned underwater test vehicle)의 운동성능과 제어기설계에 대한 성능을 해석하기 위한 수학모델을 정립하여 시뮬레이션 프로그램을 개발하였다. 6자유도 운동방정식을 이용하여 Matlab/Simulink로 시뮬레이션 프로그램을 구성하였다. 개발된 시뮬레이션 프로그램을 이용하여 만타형상 무인잠수정의 동역학적 운동성능을 해석하였으며, 무인잠수정의 제어성능을 해석하기 위하여 PID(비례-미분-적분)제어기와 슬라이딩모드(Sliding mode)제어기를 설계하여 만타형상 무인잠수정의 제어성능을 해석하였다. 설계된 제어기는 무인잠수정의 수심제어(Depth control)와 방향제어(Heading control)에 사용되었다. 설계된 제어기의 성능을 확인하기 위하여 미해군 대학원의 AUV II와 비교하였다. 설계된 수심제어기와 방향제어기를 이용하여 만타형 무인잠수정의 설계목표에 부합하는 항해제어 시뮬레이션을 실시하였다.

수학적 탐구력 신장을 위한 테크놀로지의 활용의 효과 (The Effective Use of a Technology Tool for Students' Mathematical Exploration)

  • 고상숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권5호
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    • pp.647-672
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    • 2003
  • This study sought to determine the impact of the graphing calculator on prospective math-teachers' mathematical thinking while they engaged in the exploratory tasks. To understand students' thinking processes, two groups of three students enrolled in the college of education program participated in the study and their performances were audio-taped and described in the observers' notebooks. The results indicated that the prospective teachers got the clues in recalling the prior memory, adapting the algebraic knowledge to given problems, and finding the patterns related to data, to solve the tasks based on inductive, deductive, and creative thinking. The graphing calculator amplified the speed and accuracy of problem-solving strategies and resulted partly in students' progress to the creative thinking by their concept development.

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Performance analysis of a flexible restarted fom(k) algorithm

  • Yun, Jae-Heon
    • 대한수학회보
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    • 제34권4호
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    • pp.667-678
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    • 1997
  • This paper contains a convergence analysis of a flexible restarted FOM(k)(FFOM(k)), and its performance is compared with FGMRES(k). Performances of these two algorithms with variable preconditioners are also compared with those of preconditioned FOM(k) and GMRES(k). Numerical experiments show that FFOM(k) performs as well as, or better than for some problems, FGMRES(k).

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열 및 중력 효과를 고려한 웹 이송 시스템의 새로운 수학적 모델링 (A Novel Mathematical Modeling in Web Transport Systems considering Thermal and Gravity Effects)

  • 김종식;김근영;신종민;이지민;최정주
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2006년도 춘계학술대회 논문집
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    • pp.333-334
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    • 2006
  • A novel mathematical modeling in web transport systems for Continuous Annealing Processes (CAP) is proposed. Despite of thermal and weight effects in dynamics of web transport systems, the conventional mathematical model does not consider those effects. Disregard of these effects causes the low manufacturing quality of webs in CAP. In order to improve the manufacturing quality of webs in CAP, moreover, precise tension control is required based on the mathematical model. Therefore, an advanced mathematical model considering thermal and weight effects in CAP should be established. The effectiveness of a novel mathematical model is evaluated by comparing the performances of the PI tension control system based on the proposed mathematical model with that based on the conventional one through the computer simulation.

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