• Title/Summary/Keyword: polynomial fit

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Optimization of Plasma Process to Improve Plasma Gas Dissolution Rate using Three-neck Nozzle (3구 노즐을 이용한 플라즈마 가스 용존율 향상을 위한 플라즈마 공정의 최적화)

  • Kim, Dong-Seog;Park, Young-Seek
    • Journal of Environmental Science International
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    • v.30 no.5
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    • pp.399-406
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    • 2021
  • The dissolution of ionized gas in dielectric barrier plasma, similar to the principle of ozone generation, is a major performance-affecting factor. In this study, the plasma gas dissolving performance of a gas mixing-circulation plasma process was evaluated using an experimental design methodology. The plasma reaction is a function of four parameters [electric current (X1), gas flow rate (X2), liquid flow rate (X3) and reaction time (X4)] modeled by the Box-Behnken design. RNO (N, N-Dimethyl-4-nitrosoaniline), an indictor of OH radical formation, was evaluated using a quadratic response surface model. The model prediction equation derived for RNO degradation was shown as a second-order polynomial. By pooling the terms with poor explanatory power as error terms and performing ANOVA, results showed high significance, with an adjusted R2 value of 0.9386; this indicate that the model adequately satisfies the polynomial fit. For the RNO degradation, the measured value and the predicted values by the model equation agreed relatively well. The optimum current, gas flow rate, liquid flow rate and reaction time were obtained for the highest desirability for RNO degradation at 0.21 A, 2.65 L/min, 0.75 L/min and 6.5 min, respectively.

Mathematical Analysis of Growth of Tobacco (Nicotiana tabaccum L.) II. A New Model for Growth Curve (담배의 생장반응에 관한 수리해석적 연구 제2보 담배생장곡선의 신모형에 관하여)

  • Kim, Y.A.;Ban, Y.S.
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.27 no.1
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    • pp.84-86
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    • 1982
  • The experiment was conducted with three varieties (Hicks, Burley 21, and Sohyang) and cultivation type (Improved mulching, general mulching, and non mulching) of NC 2326 to model to curve of tabacco growth against time. The basic growth data were obtained by harvest method at intervals of ten days from transplanting at 7-8 times and analyzed by polynomial regression, orthogonal polynomial, and logarithmic transformation. It is shown that the C model of growth curve: T = A +$\sqrt{(1.4 AK + K)}$2K provides an excellent fit.

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Wage Determinants Analysis by Quantile Regression Tree

  • Chang, Young-Jae
    • Communications for Statistical Applications and Methods
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    • v.19 no.2
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    • pp.293-301
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    • 2012
  • Quantile regression proposed by Koenker and Bassett (1978) is a statistical technique that estimates conditional quantiles. The advantage of using quantile regression is the robustness in response to large outliers compared to ordinary least squares(OLS) regression. A regression tree approach has been applied to OLS problems to fit flexible models. Loh (2002) proposed the GUIDE algorithm that has a negligible selection bias and relatively low computational cost. Quantile regression can be regarded as an analogue of OLS, therefore it can also be applied to GUIDE regression tree method. Chaudhuri and Loh (2002) proposed a nonparametric quantile regression method that blends key features of piecewise polynomial quantile regression and tree-structured regression based on adaptive recursive partitioning. Lee and Lee (2006) investigated wage determinants in the Korean labor market using the Korean Labor and Income Panel Study(KLIPS). Following Lee and Lee, we fit three kinds of quantile regression tree models to KLIPS data with respect to the quantiles, 0.05, 0.2, 0.5, 0.8, and 0.95. Among the three models, multiple linear piecewise quantile regression model forms the shortest tree structure, while the piecewise constant quantile regression model has a deeper tree structure with more terminal nodes in general. Age, gender, marriage status, and education seem to be the determinants of the wage level throughout the quantiles; in addition, education experience appears as the important determinant of the wage level in the highly paid group.

Response Surface Modeling for the Adsorption of Dye Eosin Y by Activated Carbon Prepared from Waste Citrus Peel (폐감귤박으로 만든 활성탄을 이용한 염료 Eosin Y 흡착에서 반응표면 모델링)

  • Kam, Sang-Kyu;Lee, Min-Gyu
    • Applied Chemistry for Engineering
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    • v.29 no.3
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    • pp.270-277
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    • 2018
  • The adsorption of Eosin Y by the activated carbon (WCAC) prepared from waste citrus peel was investigated by using response surface methodology (RSM) and Box-Behnken design (BBD) statistical procedures. Experiments were carried out as per BBD with three input parameters, the Eosin Y concentration (Conc. : 30~50 mg/L), the solution temperature (Temp. : 293~313 K), and the adsorbent dose (Dose : 0.05~0.15 g/L). Regression analysis showed a good fit of the experimental data to the second-order polynomial model with coefficients of the determination ($R^2$) value of 0.9851 and P-value (Lack of fit) of 0.342. An optimum dye uptake of 59.3 mg/g was achieved at the dye concentration of 50 mg/L, the temperature of 333 K, and the adsorbent dose of 0.1056 g. The adsorption process of Eosin Y by WCAC can be well described by the pseudo second order kinetic model. The experimental data followed the Langmuir isotherm model.

Statistical Model of Effective Impact Speed based on Vehicle Damages in Case of Rear-End Collisions

  • Kang, Sung-Mo;Kim, Joo-Hwan
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.463-473
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    • 2008
  • In this study, we measure damage depth and calculate effective impact speed in case of rear-end collision using real car insurance data. We study the relationship between demage depth and effective impact speed, and present statistical model for these two variables. In our real data study, 3-degree polynomial equation model is better fit to effective impact speed and demage depth than the simple linear model that are estimated in previous other studies. Damage depth is a major factor to see the extent of impact in a car collision, and by using this equation, it is possible to evaluate the severity of driver's injury.

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Estimation of the number of discontinuity points based on likelihood (가능도함수를 이용한 불연속점 수의 추정)

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.1
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    • pp.51-59
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    • 2010
  • In the case that the regression function has a discontinuity point in generalized linear model, Huh (2009) estimated the location and jump size using the log-likelihood weighted the one-sided kernel function. In this paper, we consider estimation of the unknown number of the discontinuity points in the regression function. The proposed algorithm is based on testing of the existence of a discontinuity point coming from the asymptotic distribution of the estimated jump size described in Huh (2009). The finite sample performance is illustrated by simulated example.

Development and Calibration of a Seven-Hole Pressure Probe (7공 압력프로브의 교정 및 개발)

  • Yang, Jae-Hun;Chang, Jo-Won
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.14 no.1
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    • pp.43-48
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    • 2006
  • The present study was carried out in order to develope a seven-hole pressure probe which is able to measure high flow angles. The seven-hole pressure probe is a non-nulling, directional velocity probe used for measuring three dimensional flow that having high flow angles. A 4 mm diameter seven-hole conical pressure probe was manufactured with a cone angle of 70$^{\circ}$. The probe was comprised of seven 1 mm diameter stainless steel tubes packed close together and fitted into an outer stainless steel sleeve. The calibration procedure is based on the use of the Callington's polynomial curve-fit method. The validity of the seven-hole conical pressure probe is demonstrated by comparisons with hot-wire data.

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반응표면분석(反應表面分析)과 그의 전산화(電算化)

  • Park, Seong-Hyeon
    • Journal of Korean Society for Quality Management
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    • v.7 no.1
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    • pp.3-14
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    • 1979
  • The primary objective of this paper is to aid the scientists and engineers in applying response surface procedures to obtain optimum operating conditions for many technical fields, particularly, for industrial manufacturing process. When a set of data is available from an experimental design, it is often of interest to fit a second order polynomial regression model in k independent variables, and find the condition of the independent variables (e. g., temperature, pressure, etc.) that optimize the response variable (e. g., yield, strength, etc.). This paper proposes a method how to obtain the optimum operating condition, and how 10 find the condition by using the computer. A computer program written in FORTRAN language is attached for the readers who may want to use the computer program.

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Dynamic Modeling of Automotive Shock Absorbers Using Simple Nonlinear Models (단순 비선형 모델을 이용한 자동차 충격흡수기의 동특성 모델링 기법 연구)

  • 한형석;서정원;노규석;허승진;김기훈
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.5
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    • pp.156-162
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    • 2003
  • The shock absorber is a part having a direct influence on the ride comfort, stability and dynamic load prediction of a vehicle. Thus, a rationally modeled shock absorber should be required in the dynamic analysis of vehicles. This thesis presents a modified model, based on Worden's hyperbolic tangent function, in order to fit experimental data on the velocity-damping force of a shock absorber. The hyperbolic tangent function correctly indicates the characteristics of a shock absorber, and has the advantage of containing physical causality. To evaluate the method, comparative evaluations of the linear model, the 5th polynomial model and Worden's model were carried out. The function presented in this paper is not only simple but also makes it possible to estimate the function coefficients easily and visually. In addition, it has the advantage of containing physical causality. Lastly, it effectively models the damping force of a shock absorber.

A Model Reduction and PID Controller Design Via Frequency Transfer Function Synthesis (주파수 전달함수 합성법에 의한 모델축소 및 PID 제어기 설계)

  • Kim, Ju-Sik;Kwang, Myung-Shin;Kim, Jong-Gun;Jeon, Byeong-Seok;Jeong, Su-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.54 no.1
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    • pp.34-40
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    • 2005
  • This paper presents a frequency transfer function synthesis for simplifying a high-order model with time delay to a low-order model. A model reduction is based on minimizing the error function weighted by the numerator polynomial of reduced systems. The proposed method provides better low frequency fit and a computer aided algorithm. And in this paper, we present a design method of PID controller for achieving the desired specifications via the reduced model. The proposed method identifies the parameter vector of PID controller from a linear system that develops from rearranging the two dimensional input matrices and output vectors obtained from the frequency bounds.