• 제목/요약/키워드: ratio and proportion

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A mortar mix proportion design algorithm based on artificial neural networks

  • Ji, Tao;Lin, Xu Jian
    • Computers and Concrete
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    • 제3권5호
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    • pp.357-373
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    • 2006
  • The concepts of four parameters of nominal water-cement ratio, equivalent water-cement ratio, average paste thickness, fly ash-binder ratio were introduced. It was verified that the four parameters and the mix proportion of mortar can be transformed each other. The behaviors (strength, workability, et al.) of mortar primarily determined by the mix proportion of mortar now depend on the four parameters. The prediction models of strength and workability of mortar were built based on artificial neural networks (ANNs). The calculation models of average paste thickness and equivalent water-cement ratio of mortar can be obtained by the reversal deduction of the two prediction models, respectively. A mortar mix proportion design algorithm was proposed. The proposed mortar mix proportion design algorithm is expected to reduce the number of trial and error, save cost, laborers and time.

비와 비례 개념의 의미와 표현에 대한 역사적 발달 과정 (The historical developments process of the representations and meanings for ratio and proportion)

  • 박정숙
    • 한국수학사학회지
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    • 제21권3호
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    • pp.53-66
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    • 2008
  • 비와 비례 개념은 학생들에 게 매우 친숙하지만 어렵게 느껴지는 개념이다. 본고에서는 비와 비례 개념의 의미와 표현에 대한 역사적 발달 과정을 고찰하여 현대의 비와 비례 개념의 의미를 확인하고자 하였다. 비와 비례 개념의 의미는 처음에 산술적인 의미로 시작되었으나 통약불가능한 값의 발견으로 기하적인 의미가 산술적인 의미를 대체하게 되었고 다시 대수 표기법의 발달로 인해 산술적 의미와 기하적 의미를 모두 포함한 대수적인 의미로 확장되었다. 비와 비례 개념의 의미와 표현에 대한 역사적 발달 과정을 통해 수학 개념의 의미는 기호 발달에 영향을 주고 기호발달은 수학 개념의 의미를 확장해 가는데 도움을 줌을 알 수 있다.

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중학교 교육과정에서 비례적 사고가 필요한 수학 개념 분석 (An analysis on mathematical concepts for proportional reasoning in the middle school mathematics curriculum)

  • 권오남;박정숙;박지현
    • 한국수학교육학회지시리즈A:수학교육
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    • 제46권3호
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    • pp.315-329
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    • 2007
  • The concepts of ratio, rate, and proportion are used in everyday life and are also applied to many disciplines such as mathematics and science. Proportional reasoning is known as one of the pivotal ideas in school mathematics because it links elementary ideas to deeper concepts of mathematics and science. However, previous research has shown that it is difficult for students to recognize the proportionality in contextualized situations. The purpose of this study is to understand how the mathematical concept in the middle school mathematics curriculum is connected with ratio, rate, and proportion and to investigate the characteristics of proportional reasoning through analyzing the concept including ratio, rate, and proportion on the middle school mathematics curriculum. This study also examines mathematical concepts (direct proportion, slope, and similarity) presented in a middle school textbook by exploring diverse interpretations among ratio, rate, and proportion and by comparing findings from literature on proportional reasoning. Our textbook analysis indicated that mechanical formal were emphasized in problems connected with ratio, rate, and proportion. Also, there were limited contextualizations of problems and tasks in the textbook so that it might not be enough to develop students' proportional reasoning.

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겉보기 비율과 참비율에 관한 연구 (Apparent and True Proportions)

  • 장경
    • 대한안전경영과학회지
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    • 제18권2호
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    • pp.119-125
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    • 2016
  • The ratio which we usually use in producing products is nonconforming proportion or percent defective. As our modern society develops, we cannot but meet another proportion in legal, managerial, and medical areas where our human beings might commit various kinds of errors though they do not want them. In this paper we will generally call the ratio 'proportion.' When the size of such proportion as percent defective is observed by persons, it is not true proportion but apparent proportion because it has been observed with human or situational errors. Past studies have not systematically covered the analysis of relations between such proportions and type 1 and 2 error, but this paper analyses and derives such various relations, and it suggests the guideline as sixteen properties for utilization and sensitive analysis of the relations. Current paper's consideration of apparent proportion in addition to true proportion as our familiar concept will open and widen existing academic and application areas where people have mainly built societal, scientific and engineering rules and methods based only on true proportion.

4학년 아동의 비와 비례 개념 분석 (Analysis on Ratio and Proportion Concepts: A Story of a Fourth Grader)

  • 이종욱
    • 대한수학교육학회지:수학교육학연구
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    • 제16권2호
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    • pp.157-177
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    • 2006
  • 비와 비례 개념은 독립적으로 발달하는 것이 아니다. 오히려 이런 개념은 곱셈적 개념 장의 일부분으로 서로 관련을 가지면서 발달하게 된다. 곱셈적 개념 장에는 곱셈, 나눗셈, 분수, 비, 유리수와 같은 개념을 포함한다. 본 연구에서는 이런 개념의 발달 과정이 어떻게 시작하는가를 알아보기 위한 목적으로, 한 초등학교 4학년 아동을 대상으로 비례추론 과제를 해결하는 실험 수업을 실행하였다. 연구를 통해 이 아동이 비형식적 전략을 전개하면서 어떤 도전에 직면하였는지 그리고 비와 비례 개념을 전개하면서 어떤 수학적 지식이 유용하였는지를 분석할 수 있었다. 이러한 연구 결과는 비와 비례 개념의 발달은 곱셈적 개념 장의 발달과 깊은 관계가 있다는 기존의 입장을 지지하는 것으로 나타났다.

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투수성 콘크리트 포장의 특성에 대한 실험적 연구 (An Expermental Study on the Properties of Porous Concrete Pavement)

  • 문한영;김성수;김홍삼;정호섭
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1997년도 봄 학술발표회 논문집
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    • pp.329-334
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    • 1997
  • Most of domestic pavement were non-permeable. However, in foreign country although it wasn't entirely satisfied, porous pavement was partially utilized with footpaths and soft-roadways. In this study, experiments were carried out to investigate the properties fundamental of porous concrete pavement. As a result of experiments, it was concluded that the coefficient of permeability was increased in proportion to continuous void ratio and decreased in proportion to S/a ratio and unit cement contents. On the other hand, the strength of porous concrete pavement was in inverse proportion to the void ratio.

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The Influence of Proportion Preference in Automotive Design: Comparison Between Japanese and German Automobiles

  • Jung, Joo Young
    • 감성과학
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    • 제21권1호
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    • pp.91-98
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    • 2018
  • The purpose of this study is to reveal concrete evidence on how aesthetic preference is applied in product design by countries. Since the 19th century, the proportion has been examined various times, and the conclusions consistently showed the strong preference for the golden ratio (1:1.618). However, previous studies are mainly focused on western products that were designed by western designers, so when the same experiment conducted for the first time in Asia with the question of 'Is the Asian subjects also likes the golden ratio?', the result clearly revealed that Korean subjects have a significant preference for the root ratio (1:1.414) and perfect square (1:1). It demonstrates that proportion preference might be different by countries, and it also influences on everyday products. Moreover, there is not enough evidence of Asian product proportions. For this reason, this study will strive to expand the knowledge on Asian aesthetic preference by focusing on Japanese automobiles that were designed and produced in Japan. 55 iconic Japanese automobiles were analyzed for proportion and compared with 50 iconic German automobiles. The result shows that Japanese automobiles have a shorter length of 7:10 (1:1.414) ratio than German automobiles with 13:23 (1:1.769) ratio. This result proves that there is the difference in preference for the proportion of Japan and Germany, and it has already influenced on automobile proportions. This result has a strong value that finding the most appropriate proportion of automotive design is a major issue in new product development, so this can be adapted to various fields of the design process where strong cultural value exists.

디젤기관의 LPG 혼합에 의한 오염배출물 저감특성 (Emission characteristics of diesel engine by mixing LPG)

  • 장영준;전충환;이춘우
    • 오토저널
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    • 제15권2호
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    • pp.44-52
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    • 1993
  • In this study, the characteristics of decreasing exhaust gas of diesel engine was examined in dual fuel method by using commertial LPG for automotive. LPG was supplied to engine intake port by fumigation method and flow rate was controlled by using the needle valve. LPG supply ratios were 0, 20, 30% of total fuel amount to be supplied to engine by mass base. We investigated the effect of LPG supply ratio on exhaust gas concentrations related to excess air ratio and engine load at 1600, 1800, 2000 rpm. Soot concentration decreased about 30% in proportion to the increase of the LPG supply ratio. NOx concentration decreased in proportion to the increase of the LPG than diesel only and the increase rate was higher at low engine load. BSFC(Brake specific fuel consumption) was lower in proportion to the increase of the LPG supply ratio at high engine load and to the decrease of LPG supply ratio at low engine load.

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포러스 콘크리트의 배합요인 및 골재 혼합비율이 강도 및 투수성능에 미치는 영향 (Influence of Mix Factors and Mixing Ratio of Aggregate on the Strength and Water Permeability of Porous Concrete)

  • 김무한;김규용;백용관
    • 콘크리트학회논문집
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    • 제12권6호
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    • pp.91-98
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    • 2000
  • Porous concrete having continuous voids is gaining more interest as an ecological material. It has several useful functions such as water and air permeability, sound absorption, etc. Its strengths are considerably lower than those of conventional concrete due to the large and continuous voids in it. This study has been carried out to investigate the influence of mix factors and mixture proportion of aggregate on the strengths and water permeability of porous concrete. And it has been carried out to investigate the evaluation of void of porous concrete by the ultra-sonic pulse velocity. The results f this study are as follows: 1) The theoretical void ratio has greater influence than any other factor on the strengths and water permeability of porous concrete. And it is a little affected by the replacement proportion of silica-fume and mixture proportion of aggregate. 2) Because the coefficients of correlation between the void ratio and ultra-sonic pulse velocity were relatively high, it will be possible that the void ratio is predicted by the ultra-sonic pulse velocity.

Variance estimation for distribution rate in stratified cluster sampling with missing values

  • Heo, Sunyeong
    • Journal of the Korean Data and Information Science Society
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    • 제28권2호
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    • pp.443-449
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    • 2017
  • Estimation of population proportion like the distribution rate of LED TV and the prevalence of a disease are often estimated based on survey sample data. Population proportion is generally considered as a special form of population mean. In complex sampling like stratified multistage sampling with unequal probability sampling, the denominator of mean may be random variable and it is estimated like ratio estimator. In this research, we examined the estimation of distribution rate based on stratified multistage sampling, and determined some numerical outcomes using stratified random sample data with about 25% of missing observations. In the data used for this research, the survey weight was determined by deterministic way. So, the weights are not random variable, and the population distribution rate and its variance estimator can be estimated like population mean estimation. When the weights are not random variable, if one estimates the variance of proportion estimator using ratio method, then the variances may be inflated. Therefore, in estimating variance for population proportion, we need to examine the structure of data and survey design before making any decision for estimation methods.