• Title/Summary/Keyword: fraction analysis

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Performance Analysis of Solar Heating System for High Solar Fraction using TRNSYS (태양열 온수급탕 시스템의 TRNSYS 열성능 분석)

  • Sohn, Jin-Gug
    • Journal of the Korean Solar Energy Society
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    • v.32 no.3
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    • pp.59-67
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    • 2012
  • In this paper, performances of solar hot water supply systems are parametrically analyzed with the variations of solar collector area, slope of collector and volume of storage. All simulations are conducted by using TRNSYS computer program. Average solar fractions, collector efficiencies and temperatures of storage are investigated monthly as well as annually. For system analysis, the maximum value of monthly average solar fractions has a limitation of 90 percent. As a result, the designed solar thermal system with $6m^2$ collector area, $50^{\circ}$ slope and $0.36m^2$ storage volume could provide almost an annual average solar fraction of 72 percent. By increasing the storage volume to $0.42m^2$, the annual solar fraction of system increases up to 73 percent.

The Elastic-Plastic Contact Analysis of 3D Rough Surface of Nongaussian Height Distribution (비정규 높이분포를 가진 3차원 거친 표면의 탄.소성접촉해석)

  • 김태완;구영필;조용주
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.06a
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    • pp.374-381
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    • 2001
  • Surface roughness plays a significant role in friction, wear, and lubrication in machine components. Most engineering surfaces have tile nogaussian height distrubution. So, in this study, elastic-plastic contact simulations are conducted for not only gaussian surfaces but also nongaussian surfaces. Nongaussian rough surface considering the kurtosis is generated numerically. The contact simulation model takes into account the plastic deformation behaviors of asperities by setting a celing on their contact pressure at material hardness value. It will be shown that the performace variables such as real contact area fraction, plastic area fraction and average gap are sensitive to the characteristics of surface geometry according to kurtosis.

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Hypotensive Effect of Scrophularia buergeriana and Gene Analysis of Scrophularia Species (현삼(玄參)의 유전자 분석 및 자발성 고혈압흰쥐의 혈압에 미치는 영향)

  • Park, Kyu-Ha;Ham, In-Hye;Choi, Ho-Young
    • The Korea Journal of Herbology
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    • v.23 no.2
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    • pp.213-223
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    • 2008
  • Objectives : This study was performed to prove the hypotensive effect of 70% MeOH extracts from Scrophularia buergeriana (SB) on rat's femoral artery. Methods : We observed hypotensive effect of SB on rat's femoral artery. Scrophularia buergeriana Miquel, S. kakudensis, S. koraiensis and S. ningpoenesis Hemsl. were used by the RFLP method and sequence analysis of ITS regions, in order to compare and discriminate. Results : SB 70% MeOH Ex., Water fraction, 40% MeOH fraction, 100% MeOH fraction didn't show significantly hypotensive effect. 20% fraction of SB 70% MeOH Ex. showed significantly hypotensive effect. The size of ITS region on Scrophularia sp. is 589${\sim}$590bp and amount of G+C is 59.3% to 59.7%, and it showed the similar of ITS parts on Scrophularia sp. Conclusions : We concluded that SB Ex. have hypotensive activity, and it's more efficient when separated. And Scrophularia sp. showed the similar of DNA analysis.

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Reduction of Allergenicity of Wheat Flour by Enzyme Hydrolysis (효소 분해에 의한 밀가루의 항원성 저감화)

  • Park, Ju-Yeon;Ahn, Jeung-Yeub;Hong, Hee-Ok;Hahn, Young-Sook
    • Korean Journal of Food Science and Technology
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    • v.36 no.1
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    • pp.152-157
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    • 2004
  • Gluten was extracted from domestic wheat flour using UTH buffer (4 M urea in 0.1 M Tris-HCl, pH 8.6) and validated by SDS-PAGE analysis for production of wheat flour products with reduced gluten content.. Anti-gluten polyclonal antibody was made by administering extracted gluten fraction on animal model. Anti-gluten serum titer of extracted gluten fraction was evaluated by ELISA, and that of antibody titer according to administration period. Anti-gluten sera were used for ELISA and immunoblot analysis before and after hydrolysis of gluten fraction at optimal pH and temperature condition for each protease. Gluten fraction separated by SDS-PAGE showed several bands covering 75 to 10 kDa, in which anti-gluten sera were 25, 34, and 45 kDa. Enzyme hydrolysis of gluten fraction revealed protein band sizes to be lower than 15 kDa. Content of pretense from bovine pancreas (b.p. protease) for gluten hydrolysis was estimated as 1 mg in 10 mL gluten fraction extracted for 4 hr.

An analysis of 6th graders' cognitive structure about division of fraction - Application of Word Association Test(WAT) - (분수의 나눗셈과 관련된 초등학교 6학년 학생들의 인지구조 분석 - 단어연상검사(Word Association Test) 적용 -)

  • Lee, Hyojin;Lee, Kwangho
    • The Mathematical Education
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    • v.53 no.3
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    • pp.329-355
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    • 2014
  • The purpose of this study is to understand the difference of cognitive structure depending on the level of the 6th graders' problem-solving abilities about the division of fraction and to propose a method for improving the 6th graders' understanding about the division of fraction through the word association test. The following is the findings from this study. 1)The lower level students' is, the lower the step that the chunk appeared in cognitive structure is. 2)The basic level students' association frequency between any two concepts was less than the excellent level students and the ordinary level students' it. 3)The basic level students' connection number between concepts was far less than the excellent level students and the ordinary level students' it. 4)The connection between natural number and unit fractions, subtraction of fraction and division of fraction, division of fraction and reduction to common denominator, and division of fraction and common multiple that expected in this study did not appear in the three groups.

A Study on the Teaching of 'a Concept of Fraction as Division($b{\div}a=\frac{b}{a}$)' in Elementary Math Education - Based on a Analysis of the Korean Successive Elementary Math Textbooks (초등수학에서 '나눗셈으로서의 분수($b{\div}a=\frac{b}{a}$)' 개념 지도에 관한 연구 - 한국의 역대 초등수학 교과서에 대한 분석을 중심으로)

  • Kang, Heung Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.3
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    • pp.425-439
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    • 2014
  • The concept of a fraction as division is a core idea which serves as a axiom in the process of a extension of the natural number system to rational number system. Also, it has necessary position in elementary mathematics. Nevertheless, the timing and method of the introduction of this concept in Korean elementary math textbooks is not well established. In this thesis, I suggested a solution of a various topics which is related to this problem, that is, transforming improper fraction to mixed number, the usage of quotient as a term, explaining the algorithm of division of fraction, transforming fraction to decimal.

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An Analysis on Aspects of Concepts and Models of Fraction Appeared in Korea Elementary Mathematics Textbook (한국의 초등수학 교과서에 나타나는 분수의 개념과 모델의 양상 분석)

  • Kang, Heung Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.3
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    • pp.431-455
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    • 2013
  • In this thesis, I classified various meanings of fraction into two categories, i.e concept(rate, operator, division) and model(whole-part, measurement, allotment), and surveyed appearances which is shown in Korea elementary mathematics textbook. Based on this results, I derived several implications on learning-teaching of fraction in elementary education. Firstly, we have to pursuit a unified formation of fraction concept through a complementary advantage of various concepts and models Secondly, by clarifying the time which concepts and models of fraction are imported, we have to overcome a ambiguity or tacit usage of that. Thirdly, the present Korea's textbook need to be improved in usage of measurement model. It must be defined more explicitly and must be used in explanation of multiplication and division algorithm of fraction.

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An Analysis of 6th Graders' Fraction Operations and Schemes (초등학교 6학년 학생들의 분수 조작 및 스킴 분석)

  • Han, Jeong Yee;Lee, Kwang Ho
    • School Mathematics
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    • v.19 no.1
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    • pp.59-75
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    • 2017
  • This study analyzed the $6^{th}$ graders' constructions about fraction operations and schemes and figured out the relationships quantitatively between operations and schemes through the written test of 432 students. The results of this study showed that most of students could do partitioning operation well, however, there were many students who had difficulties on iterating operation. There were more students who constructed partitioning operation prior to iterating operation than the opposite. The rate of students who constructed high schemes was lower than that of students who constructed low schemes according to the hierarchy of fraction schemes. Especially, there were many students who construct partitive unit fraction scheme but not partitive fraction scheme, because they could compose unit fraction but not do iterating it. And there were the high correlations between fraction operations and schemes. Given these result, this paper suggests implications about the teaching and learning of fraction.

An Educational Analysis on Fraction Concept (분수 개념의 의미 분석과 교육적 시사점 탐구)

  • Jeong Eun-Sil
    • School Mathematics
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    • v.8 no.2
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    • pp.123-138
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    • 2006
  • The fraction concept consists of various meanings and is one of the more abstract and difficult in elementary school mathematics. This study intends to analyze the fraction concept from historical and psychological viewpoints, to examine the current elementary mathematics textbooks by these viewpoints and to seek the direction for improvement of it. Basic ideas about fraction are the partitioning - the dividing of a quantity into subparts of equal size - and about the part-whole relation. So these ideas are heavily emphasized in current textbooks. However, from the learner's point of view, situations related to different meanings of fraction concept draw qualitatively different response from students. So all the other meanings of fraction concept should be systematically represented in elementary mathematics textbooks. Especially based on historico-genetic principle, the current textbooks need the emphasis on the fraction as a measure and on constructing fraction concept by unit fraction as a unit.

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A Construction of 'Decimal Fraction' Unit of Elementary Mathematics Textbook and Analysis of Students' State of Understanding Based on Measurement Activity (초등수학에서 측정활동에 기반한 소수의 학습.지도 방안 및 학생의 이해 실태 분석)

  • Kim, Eun Jung;Kang, Heung Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.37-62
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    • 2014
  • In this thesis, we inquire into teaching method of decimal fraction concept in elementary mathematics education based on measurement activity. For this purpose, our research tasks are as follows: First, we design a experimental learning-teaching plan of 'decimal fraction' unit in 4th grade textbook and verify its effect. Second, after teaching experiment using experimental learning-teaching plan, we analyze the student's status of understanding about decimal fraction concept. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results. First, introduction of decimal fraction based on measurement activity promotes student's understanding of measuring number and decimal notation. Second, operator concept of decimal fraction is widely used in daily life. Its usage is suitable for elementary mathematics education within the decimal notation system. Third, a teaching method of times concepts using place value expansion of decimal fraction is more meaningful and has less possibility of misunderstanding than mechanical shift of decimal point. Fourth, teaching decimal fraction through the decimal expansion helps students with understanding of digit 0 contained in decimal fraction, comparing of size and place value. Fifth, students have difficulties in understanding conversion process of decimal fraction into decimal notation system using measurement activity. It can be done easily when fraction is used. However, that is breach to curriculum. It is necessary to succeed research for this.

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