• 제목/요약/키워드: Arithmetic Mean

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A Modified Grey-Based k-NN Approach for Treatment of Missing Value

  • Chun, Young-M.;Lee, Joon-W.;Chung, Sung-S.
    • Journal of the Korean Data and Information Science Society
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    • 제17권2호
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    • pp.421-436
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    • 2006
  • Huang proposed a grey-based nearest neighbor approach to predict accurately missing attribute value in 2004. Our study proposes which way to decide the number of nearest neighbors using not only the deng's grey relational grade but also the wen's grey relational grade. Besides, our study uses not an arithmetic(unweighted) mean but a weighted one. Also, GRG is used by a weighted value when we impute missing values. There are four different methods - DU, DW, WU, WW. The performance of WW(Wen's GRG & weighted mean) method is the best of any other methods. It had been proven by Huang that his method was much better than mean imputation method and multiple imputation method. The performance of our study is far superior to that of Huang.

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A Study on the Treatment of Missing Value using Grey Relational Grade and k-NN Approach

  • 천영민;정성석
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2006년도 PROCEEDINGS OF JOINT CONFERENCEOF KDISS AND KDAS
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    • pp.55-62
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    • 2006
  • Huang proposed a grey-based nearest neighbor approach to predict accurately missing attribute value in 2004. Our study proposes which way to decide the number of nearest neighbors using not only the dong's grey relational grade but also the wen's grey relational grade. Besides, our study uses not an arithmetic(unweighted) mean but a weighted one. Also, GRG is used by a weighted value when we impute a missing values. There are four different methods - DU, DW, WU, WW. The performance of WW(wen's GRG & weighted mean) method is the best of my other methods. It had been proven by Huang that his method was much better than mean imputation method and multiple imputation method. The performance of our study is far superior to that of Huang.

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MEAN VALUES OF DERIVATIVES OF L-FUNCTIONS IN FUNCTION FIELDS: IV

  • Andrade, Julio;Jung, Hwanyup
    • 대한수학회지
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    • 제58권6호
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    • pp.1529-1547
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    • 2021
  • In this series, we investigate the calculation of mean values of derivatives of Dirichlet L-functions in function fields using the analogue of the approximate functional equation and the Riemann Hypothesis for curves over finite fields. The present paper generalizes the results obtained in the first paper. For µ ≥ 1 an integer, we compute the mean value of the µ-th derivative of quadratic Dirichlet L-functions over the rational function field. We obtain the full polynomial in the asymptotic formulae for these mean values where we can see the arithmetic dependence of the lower order terms that appears in the asymptotic expansion.

대전공단지역의 대기중 독성금속에 대한 위해도 평가 (Risk Assessment of Airborne Toxic Metals in Thejon Industrial Complex)

  • 이진홍;윤미정;남병현;왕창근;강호
    • 환경영향평가
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    • 제8권2호
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    • pp.1-8
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    • 1999
  • The research centers on the concentration profile and risk assessment of toxic metals for ambient air in Taejon industrial complex. Airborne concentrations of each toxic metal for risk assessment were obtained from 2-year sampling by high volume air sampler and analysis by ICP-MS and ICP-AES in the complex. The long-term arithmetic mean of human carcinogen, arsenic, hexavalent chromium and nickel subsulfide was 5.53, 2.16 and $3.46ng/m^3$ while the mean of probable human carcinogen, beryllium, cadmium and lead was 0.08, 2.35, $293.29ng/m^3$, respectively. And the long-term arithmetic mean concentration of non-carcinogenic metal, manganese was $55.91ng/m^3$. The point risk estimate for the inhalation of carcinogenic metals was $3.6{\times}10^{-5}$, which was higher than a risk standard of $10^{-5}$. About 75% of the cancer risk was to the inhalation of human carcinogen, arsenic. Thus, it is necessary to properly manage arsenic risk in Taejon industrial complex. The point hazard index by the inhalation of manganese was 1.1. Therefore, an investigation into Taejon industrial complex is needed to obtain more fine long-term concentration data for airborne non-carcinogenic metals including manganese.

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Moisture-dependent Physical Properties of Detarium microcarpum Seeds

  • Aviara, Ndubisi A.;Onaji, Mary E.;Lawal, Abubakar A.
    • Journal of Biosystems Engineering
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    • 제40권3호
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    • pp.212-223
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    • 2015
  • Purpose: Physical properties of Detarium microcarpum seeds were investigated as a function of moisture content to explore the possibility of developing bulk handling and processing equipment. Methods: Seed size, surface area, and 1,000-seed weight were determined by measuring the three principal axes, measuring area on a graph paper, and counting and weighing seeds. Particle and bulk densities were determined using liquid displacement and weight in a measuring cylinder, respectively. Porosity was computed from particle and bulk densities. Roundness and sphericity were measured using shadowgraphs. Angle of repose and static and kinetic coefficients of friction were determined using the vertical cylindrical pipe method, an inclined plane, and a kinetic coefficient of friction apparatus. Results: In the moisture range of 8.2%-28.5% (db), the major, intermediate, and the minor axes increased from 2.95 to 3.21 cm, 1.85 to 2.61 cm, and 0.40 to 1.21 cm, respectively. Surface area, 1,000-seed weight, particle density, porosity, and angle of repose increased from 354.62 to $433.19cm^2$, 3.184 to 3.737 kg, 1060 to $1316kg/m^3$, and 30.0% to 53.1%, respectively, whereas bulk density decreased from 647.6 to $617.2kg/m^3$. Angle of repose increased from $13.9^{\circ}$ to $28.4^{\circ}$. Static and kinetic coefficients of friction varied between 0.096 and 0.638 on different structural surfaces. Conclusions: Arithmetic mean, geometric mean, and equivalent sphere effective diameters determined at the same moisture level were significantly different from each other, with the arithmetic mean diameter being greatest. Surface area, 1,000-seed weight, particle density, porosity, and angle of repose all increased linearly with moisture content. Bulk density decreased linearly with moisture content. The coefficients of friction had linear relationships with moisture content. The highest values of static and kinetic coefficients of friction were observed on galvanized steel and hessian fabric, respectively, whereas the lowest values were observed on fiberglass.

지반신뢰성 설계를 위한 설계변수의 특성치 연구 (Characteristic Values of Design Parameters for Geotechnical Reliability Design)

  • 윤길림;윤여원;김홍연
    • 한국지반공학회논문집
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    • 제24권5호
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    • pp.27-35
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    • 2008
  • 신뢰성 설계를 위한 설계변수의 특성치에 대하여 국내 해양토질을 이용하여 연구하였다. 특성치 산정에 대한 연구결과, Student/Ovesen, Schneider 및 EN 1990 방법의 순으로 평균치에 근접한 것으로 나타났고, EN 1990 방법은 지반특성치 산정방법의 신뢰성 차원에서 부적합한 것을 확인하였다. 그리고 제시된 네가지 특성치 산정방법은 토질의 변동성이 커짐에 따라 특성치를 보수적으로 평가하는 경향을 보였다. 또한 이러한 산정된 특성치가 실 설계에 미치는 영향을 파악하기 위하여 방파제에 대하여 임의 하중하에서 미개량 지반의 지지력 및 침하특성을 검토하였다. Schneider 방법을 이용하여 산정한 결과와 토질정수의 산술평균치를 이용한 결과를 비교한 결과, 허용지지력/작용하중비의 경우 전자가 후자의 65%로 나타났고, 침하량의 경우에는 13.6%를 제시하여 과소평가한 결과였다. 그리고 과거 설계사례에서 산술평균치로 결정된 대표치에 의한 것과 본 논문에서 각 지역의 자료로부터 산정한 특성치에 따른 설계결과를 비교한 결과, 산술평균치로 결정된 대표치에 의한 설계는 대부분 과대평가의 결과를 제시하였다.

풍력발전기의 설비이용률 계산을 위한 확률밀도함수의 비교 (Comparison of Probability Density Functions for Caculation of Capacity Factors of Wind Turbine Generator)

  • 강택근;허종철;좌종근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 하계학술대회 논문집 B
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    • pp.1338-1341
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    • 2002
  • The Weibull probability density function and the Rayleigh function are compared by analyzing the relations of the capacity factors which are compared the actual wind speed frequency curve with which are modelled using the probability density functions with different mean wind speeds. For this analysis, the wind speed means of arithmetic, root mean square, cubic mean cuberoot, and standard deviations are computed from the measured wind speed data of a specific site and the coefficients of probability density functions are calculated. The capacity factors for Vestas 850[kW] wind turbine are calculated and analyzed. The results shows that the wind speed frequency curve by Rayleigh function is more close to the actual curve than by Weibull function. The more the wind speed frequency curve is close to the actual one, the more the capacity factors become large values.

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초등학교 수학의 교수를 위한 모바일 가상조작물 앱 분석 (An Analysis of Mobile Virtual Manipulatives Apps for the Teaching of Elementary School Mathematics)

  • 신미경
    • 한국멀티미디어학회논문지
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    • 제20권6호
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    • pp.935-949
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    • 2017
  • The purpose of this study was to analyze the characteristics of virtual manipulatives apps that can be used to teach students struggling to learn mathematics. To achieve this goal, ten general characteristics of 23 virtual manipulatives apps were evaluated. The instructional, interface, and interactive design features of apps were also evaluated on five-point scale ratings of 18 items. In addition, SPSS frequency analysis and the correlation between each feature was analyzed. Frequently presented instructional contents among 23 virtual manipulatives apps were geometry, arithmetic operation, number concept and measurement. The frequently presented level of instructional contents was lower grade elementary school and kindergarten age. The frequently presented instructional type was the simulation. Regarding the design features, instructional design was rated as the highest (mean = 3.7); interactive design (mean = 3.6) and interface design (mean = 3.3) were also rated higher than neural. In addition, as the learning strategy was appropriately presented, it was evaluated that there was less screen linkage and content error.

다이코틱 조건에서의 라우드니스 모델에 관한 연구 (A Study on the Loudness Model in Dichotic Conditions)

  • 차정호;이정권;신성환
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.617-621
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    • 2003
  • Existing loudness models are specified only to diotic sounds in spite of the fact that normal human beings hear dichotic sounds. Approximately, the arithmetic mean of loudness values of both ear signals has been suggested for the resultant perceived loudness. In this study, the dependence of overall loudness perception on the interaural level differences was investigated by the subjective tests. It was found that the larger the interaural level difference, the louder the perception than the mean of calculated loudness values at both ears and the lower the critical band rate or the reference level, the louder the perception than the mean value. A modified loudness model was proposed to he applicable to dichotic sounds by using the equivalent diotic levels.

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ROBUST MEASURES OF LOCATION IN WATER-QUALITY DATA

  • Kim, Kyung-Sub;Kim, Bom-Chul;Kim, Jin-Hong
    • Water Engineering Research
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    • 제3권3호
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    • pp.195-202
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    • 2002
  • The mean is generally used as a point estimator in water-quality data. Unfortunately, the nonnormal and skewed distributions of data hinder the direct application of the mean, which is inappropriate statistics in this case. The use of robust statistics such as L, M, and R-estimators are recommended and become more efficient. The median (L-estimator), the biweight (M-estimator), and the Hodges-Lehmann method (R-estimator) are briefly introduced and applied in this paper. From the actual data analyses, it is known that the median does not guarantee robustness for a small number of data sets, and robust measures of location or the arithmetic mean without outliers are highly recommended if the distribution has tails or outliers. Care must be taken to measure the location because water quality level within a water body can change depending on the selected point estimator.

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