• Title/Summary/Keyword: 미분계수

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A Study on Mathematizing Teaching and Learning in Highschool Calculus (고등학교 미적분에서의 수학화 교수.학습에 관한 연구)

  • Cho, Wan-Young
    • School Mathematics
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    • v.8 no.4
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    • pp.417-439
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    • 2006
  • Many studies indicate the emerging crisis of education of calculus even though the emphasis of calculus have been widely recognized. In our classrooms, the education of calculus also has been faced with its bounds. Most instructions of calculus is too much emphasis on the algebraic approach, thus students solve mathematical problems without truly understanding the underlying concept. The purpose of this study is to develop mathematization teaching and learning materials and methods in caculus based on the mathematization teaching and learning theories by Freudenthal and the variability principles of conceptual learning by Dienes, In order to this purpose, first, we analyzed the high school mathematics II textbook of 7th curriculum in Korea. Second, we developed mathematization teaching and learning materials and methods in highschool calculus. Consequently, the following conclusions have been drawn: we have reorganized and reconstructed the context problem in calculus based on concepts of tangent line and instantaneous rate of change.

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A Study of Chloride Diffusion Coefficient and Microstructure of High Fluidity Concrete Using Limestone Powder (석회석 미분말을 활용한 고유동 콘크리트의 염소이온 확산계수와 미세공극에 관한 연구)

  • Choi, Yun-Wang;Jeong, Jae-Gwon;Kim, Kyung-Hwan;Ha, Sang-Woo;Ryu, Deuk-Hyun;Oh, Sung-Rok
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.199-200
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    • 2010
  • This paper was estimated the diffusion coefficient through the chlorine ion diffusion coefficient of the high fluidity concrete using the limestone powder. Also, the micro void of high fluidity concrete examined according to the mixing ratio of the limestone powder by the mercury intrusion porosimetry.

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Prediction Equation for Chloride Diffusion in Concrete Containing GGBFS Based on 2-Year Cured Results (2년 양생 실험결과를 이용한 고로슬래그 미분말 콘크리트의 염화물 확산 예측식)

  • Yoon, Yong-Sik;Cho, Sung-Jun;Kwon, Seung-Jun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.23 no.2
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    • pp.1-9
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    • 2019
  • GGBFS(Ground Granulated Blast Furnace Slag), one of the representative concrete mineral admixtures, improves the long-term durability and engineering performance of concrete by latent hydraulic activity. In this study, considering 3 levels of W/B(0.37, 0.42, 0.47) and GGBFS replacement ratio(0 %, 30 %, 50 %), durability performances for chloride attack are evaluated, and equations which predict behavior of accelerated chloride diffusion are proposed. Also, the relationship between accelerated chloride diffusion coefficient and passed charge is evaluated. In target curing day, accelerated chloride diffusion tests(Tang's method, ASTM C 1202) and compressive strength(KS F 2405) are performed. In the 730 day's results of accelerated chloride diffusion coefficient, GGBFS concrete has up to 28 % of decreasing ratio compared to OPC concrete, and in those of passed charge, GGBFS concrete has up to 29 % of decreasing ratio compared to OPC concrete. Also, it is deemed that the impact of variation of W/B is less in GGBFS concrete than in OPC concrete. The equations which predict accelerated chloride diffusion coefficient and passed charge are drawn, based on the characteristics of mixture and test results. The equation which predicts passed charge shows slightly higher coefficient of determination than that which predicts accelerated chloride diffusion coefficient.

Evaluation of Chloride Penetration in Concrete with Ground Granulated Blast Furnace Slag considering Fineness and Replacement Ratio (고로슬래그 미분말 콘크리트의 분말도 및 치환율에 따른 염해 저항성 평가)

  • Lee, Hyun-Ho;Kwon, Seung-Jun
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.1 no.1
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    • pp.26-34
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    • 2013
  • Durability performance in RC structures varies significantly with changes in cover depth and mix proportions. GGBFS (Ground Granulated Blast Furnace Slag) is very effective mineral admixture and widely used for an improved resistance to chloride attack. In this paper, characteristics such as porosity, compressive strength, and diffusion coefficient are evaluated in GGBFS concrete with 30~70% of replacement ratio and $4,000{\sim}8,000cm^2/g$ of fineness. Through the tests, more dense pore structure, higher compressive strength, and lower diffusion coefficient are obtained in GGBFS concrete, which are evaluated to be more dependent on replacement ratio than fineness. With increasing curing period from 3 to 91 days, porosity decreases to 77.47% and strength increases to 373% in GGBFS concrete. Chloride diffusion coefficient in GGBFS concrete decreases to 64.4% compared with that in OPC concrete, which shows significant improvement of durability performance.

A Study on tractive effort control for Railway Vehicle (철도차량의 최대견인력 제어를 위한 연구)

  • Chung, Choon-Byeong;Kim, Dae-Gun;Hahm, Nyun-Gun;Lee, Sang-Chip;Jeon, Kee-Young;Lee, Hun-Gu;Han, Kjyung-Hee
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2005.05a
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    • pp.265-269
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    • 2005
  • 본 논문에서는 최대 견인력 제어를 위해서 최소 차원 부하 토크 외란 관측기를 이용하여 점착력 계수를 추정하고 추정한 점착력 계수의 미분치를 PI 토크 제어하는 Anti-slip제어를 제안한다. 최소차원 부하 토크 외란 관측기는 회전자의 위치 정보와 토크 전류의 정보를 이용하여 부하 외란토크를 추정하고, 부하 외란 토크에 철도차량 상수를 이용하여 점착력 계수를 추정한다. 또한 부하토크외란 관측기는 구조가 간단하며, 시스템의 외란 및 각종 제어이득, 시스템의 상수 변화에 대해서도 견실한 견인력 제어 특성을 가지고 있다. 이와 같은 시스템의 모델링과 전동기 토크에 대한 회전자의 위치 정보를 이용하여 최소차원 부하 토크 외란 관측기의 상태변수인 점착력 계수를 추정하고, 추정한 점착력 계수의 미분치를 PI토크 Anti-Slip제어하여, 최대 견인력 제어가 되도록 하였다.

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A Development of Recycled Glass Powder using Asphalt Concrete Filler and Evaluation of Practical Use at the Field (아스콘 채움재용 폐유리 미분말 개발 및 현장 적용 평가)

  • Ryu, Deug-Hyun;Jeon, Jun-Young;Jo, Shin-Haeng;Jun, Soon-Je
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.113-116
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    • 2007
  • This is a research for evaluated recycled glass powder to add asphalt concrete filler. To make a comparative study, Mechanical performance of lime stone and slag dust Mixtures was evaluated according to test procedure. Lab. performance tests included marshall stability, indirect tensile strength, resilient modulus and wheel tracking. Water resistance tests were evaluated by marshall strength ratio and tensile strength ratio. In conclusion, Results of mechanical performance showed that recycled glass powder mixtures were equivalent to conventional mixtures. Especially, result of tensile strength ratio tested recycled glass powder mixtures was superior to conventional mixtures.

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Analysis of Effect of Fuel Additive on Soot Suppression Using Laser Scattering Technique (광 산란 기술을 이용한 연료 첨가제의 그을음 억제 효과 분석)

  • Seo, Hyoungseock;Kim, Kibum
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.7
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    • pp.204-210
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    • 2016
  • This paper presents an experimental analysis of the growth and oxidation processes of soot particles generated in an isooctane diffusive laminar flame due to incomplete combustion. The effects of iron-based diagnostics were employed to measure the elastic scattering light from soot particles in a flame at different flame heights, and the differential scattering coefficients were calculated through a calibration process. The growth and oxidation of soot particles in flame was investigated by comparing differential scattering coefficients, and the soot volume fraction was seen to decrease in the soot oxidation process. In the same manner, the differential scattering coefficients were calculated for iron-based fuel-additive seeded flame, and these coefficients were revealed to be smaller than those obtained in the fuel-additive unseeded flame. In addition, transmission through the radial direction of the flame was measured, and transmission in the soot oxidation regime was approximately 5% higher for the seeded flame. The propensity of the data coincided well with the differential scattering coefficients, and it can be concluded that the iron component of the fuel additive plays a crucial role as a catalyst, which eventually enhanced soot particle oxidation.

Keypoint Detection Using Normalized Higher-Order Scale Space Derivatives (스케일 공간 고차 미분의 정규화를 통한 특징점 검출 기법)

  • Park, Jongseung;Park, Unsang
    • Journal of KIISE
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    • v.42 no.1
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    • pp.93-96
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    • 2015
  • The SIFT method is well-known for robustness against various image transformations, and is widely used for image retrieval and matching. The SIFT method extracts keypoints using scale space analysis, which is different from conventional keypoint detection methods that depend only on the image space. The SIFT method has also been extended to use higher-order scale space derivatives for increasing the number of keypoints detected. Such detection of additional keypoints detected was shown to provide performance gain in image retrieval experiments. Herein, a sigma based normalization method for keypoint detection is introduced using higher-order scale space derivatives.

Students' Understanding of the Derivative - Literature Review of English and Korean Publications - (학생들의 미분에 대한 이해에 관한 문헌 연구)

  • Park, Jung-Eun
    • Journal of the Korean School Mathematics Society
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    • v.15 no.2
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    • pp.331-348
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    • 2012
  • With a gradual increase in research on teaching and learning calculus, there have been various studies about students' thinking about the derivative. This paper reviews the results of the existing empirical studies published in Korean and English. These studies mainly have shown that how students think about the derivative is related to their understanding of the related concepts and the representations of the derivative. There are also recent studies that emphasize the importance of how students learn the derivative including different applications of the derivative in different disciplines. However, the current literature rarely addressed how students think about the derivative in terms of the language differences, e.g., in Korean and English. The different terms for the derivative at a point and the derivative of a function, which shows the relation between concepts, may be closely related to students' thinking of the derivative as a function. Future study on this topic may expand our understanding on the role language-specific terms play in students' learning of mathematical concepts.

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Micromechanics-based Evaluation of Elastic Modulus of Lightweight Foamed concrete (경량기포콘크리트 탄성계수의 미시역학적 추정)

  • 조호진;송하원;변근주
    • Magazine of the Korea Concrete Institute
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    • v.9 no.4
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    • pp.125-135
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    • 1997
  • 경량기포콘크리트란 시멘트슬러리 속에 미리 생성된 기포를 혼합시켜 양생시킴으써 동일한 체적의 보통콘크리트보다 가볍게 만든 콘크리트를 의미한다. 따라서 경량기포콘크리트는시멘트풀 결합재내에 기포가 무작위로 분포된 복합재료이다. 본 연구의 목적은 이러한경량기포콘크리트의 탄성계수 추정식을 미시역학적 이론을 바탕으로 추정하는데 있다. 이르 위해 본 논문에서는 미시역학적인 미분법에 Hansen의 수정기법을 적용한 수정미분법을 사용하여 경량기포콘크리트의 탄성계수 추정식을 제안하였다. 제안된 추정식을 사용하여 얻어진 결과는 실험결과와 잘 일치하였고 기존의 어떤 추정식보다도 우수한 결과를 보였다.