• Title/Summary/Keyword: mathematical treatment

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Development of Wastewater Treatment Process Simulators Based on Artificial Neural Network and Mass Balance Models (인공신경망 및 물질수지 모델을 활용한 하수처리 프로세스 시뮬레이터 구축)

  • Kim, Jungruyl;Lee, Jaehyun;Oh, Jeill
    • Journal of Korean Society of Water and Wastewater
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    • v.29 no.3
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    • pp.427-436
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    • 2015
  • Developing two process models to simulate wastewater treatment process is needed to draw a comparison between measured BOD data and estimated process model data: a mathematical model based on the process mass-balance and an ANN (artificial neural network) model. Those two types of simulator can fit well in terms of effluent BOD data, which models are formulated based on the distinctive five parameters: influent flow rate, effluent flow rate, influent BOD concentration, biomass concentration, and returned sludge percentage. The structuralized mass-balance model and ANN modeI with seasonal periods can estimate data set more precisely, and changing optimization algorithm for the penalty could be a useful option to tune up the process behavior estimations. An complex model such as ANN model coupled with mass-balance equation will be required to simulate process dynamics more accurately.

New Backstepping-DSOGI hybrid control applied to a Smart-Grid Photovoltaic System

  • Nebili, Salim;Benabdallah, Ibrahim;Adnene, Cherif
    • International Journal of Computer Science & Network Security
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    • v.22 no.4
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    • pp.1-12
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    • 2022
  • In order to overcome the power fluctuation issues in photovoltaic (PV) smart grid-connected systems and the inverter nonlinearity model problem, an adaptive backstepping command-filter and a double second order generalized Integrators (DSOGI) controller are designed in order to tune the AC current and the DC-link voltage from the DC side. Firstly, we propose to present the filter mathematical model throughout the PV system, at that juncture the backstepping control law is applied in order to control it, Moreover the command filter is bounded to the controller aiming to exclude the backstepping controller differential increase. Additionally, The adaptive law uses Lyapunov stability criterion. Its task is to estimate the uncertain parameters in the smart grid-connected inverter. A DSOGI is added to stabilize the grid currents and eliminate undesirable harmonics meanwhile feeding maximum power generated from PV to the point of common coupling (PCC). Then, guaranteeing a dynamic effective response even under very unbalanced loads and/or intermittent climate changes. Finally, the simulation results will be established using MATLAB/SIMULINK proving that the presented approach can control surely the smart grid-connected system.

Mathematical Transformation Influencing Accuracy of Near Infrared Spectroscopy (NIRS) Calibrations for the Prediction of Chemical Composition and Fermentation Parameters in Corn Silage (수 처리 방법이 근적외선분광법을 이용한 옥수수 사일리지의 화학적 조성분 및 발효품질의 예측 정확성에 미치는 영향)

  • Park, Hyung-Soo;Kim, Ji-Hye;Choi, Ki-Choon;Kim, Hyeon-Seop
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.36 no.1
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    • pp.50-57
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    • 2016
  • This study was conducted to determine the effect of mathematical transformation on near infrared spectroscopy (NIRS) calibrations for the prediction of chemical composition and fermentation parameters in corn silage. Corn silage samples (n=407) were collected from cattle farms and feed companies in Korea between 2014 and 2015. Samples of silage were scanned at 1 nm intervals over the wavelength range of 680~2,500 nm. The optical data were recorded as log 1/Reflectance (log 1/R) and scanned in intact fresh condition. The spectral data were regressed against a range of chemical parameters using partial least squares (PLS) multivariate analysis in conjunction with several spectral math treatments to reduce the effect of extraneous noise. The optimum calibrations were selected based on the highest coefficients of determination in cross validation ($R^2{_{cv}}$) and the lowest standard error of cross validation (SECV). Results of this study revealed that the NIRS method could be used to predict chemical constituents accurately (correlation coefficient of cross validation, $R^2{_{cv}}$, ranging from 0.77 to 0.91). The best mathematical treatment for moisture and crude protein (CP) was first-order derivatives (1, 16, 16, and 1, 4, 4), whereas the best mathematical treatment for neutral detergent fiber (NDF) and acid detergent fiber (ADF) was 2, 16, 16. The calibration models for fermentation parameters had lower predictive accuracy than chemical constituents. However, pH and lactic acids were predicted with considerable accuracy ($R^2{_{cv}}$ 0.74 to 0.77). The best mathematical treatment for them was 1, 8, 8 and 2, 16, 16, respectively. Results of this experiment demonstrate that it is possible to use NIRS method to predict the chemical composition and fermentation quality of fresh corn silages as a routine analysis method for feeding value evaluation to give advice to farmers.

Integrated Evaluation of Advanced Activated Sludge Processes Based on Mathematical Model and Fuzzy Inference (수학적 모델 및 퍼지 추론에 의한 고도 활성슬러지 공정의 통합 평가)

  • Kang, Dong-Wan;Kim, Hyo-Su;Kim, Ye-Jin;Choi, Su-Jung;Cha, Jae-Hwan;Kim, Chan-Won
    • Journal of Korean Society of Environmental Engineers
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    • v.32 no.1
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    • pp.97-104
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    • 2010
  • At present, the biological nutrient removal (BNR) process for removal of nitrogen and phosphorus is being constructing to keep pace with the reinforced standard of effluent quality and the traditional activated sludge process of preexistence is being promoting to retrofit. At the most case of retrofitting, processes are subjected to be under consideration as alternative BNR process for retrofitting. However, process evaluation methods are restricted to compare only treatment efficiency. Therefore, when BNR process apply, process evaluation was needed various method for treatment efficiency as well as sludge production and aeration cost, and all. In this study, the evaluation method of alternative process was suggested for the case for retrofitting S wastewater treatment plant which has been operated the standard activated sludge process. Three BNR processes for evaluation of proper alternatative process were selected and evaluated with suggested method. The selected $A^2$/O, VIP and DNR processes were evaluated using the mathematical model which is time and cost effective as well as gathered objective evaluation criteria. The evaluation between 5 individual criteria was possible including sludge production and energy efficiency as well as treatment performance. The objective final decision method for selection of optimal process was established through the fuzzy inference.

Effects of Mathematical Instructions Based on Constructivism on Learners' Reasoning A bility (구성주의 수학 수업이 추론 능력에 미치는 영향 - 초등학교 3학년 나눗셈을 중심으로 -)

  • Cho, Soo-Yun;Kim, Jin-Ho
    • Education of Primary School Mathematics
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    • v.14 no.2
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    • pp.165-185
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    • 2011
  • The purpose of this study is to confirm the effects of the learner-centered instruction based on constructivism on learners' reasoning ability and their achievements which is closely related to reflective abstracting ability. To do it, learner-centered instructions for division was implemented, recall test, generation test, content reasoning test I and II were carried out. The following conclusions were drawn from the data we got. Experimental group(EG) improved their reasoning ability, while comparison group(CG) did not. EG showed statistically significant difference in the achievements of the contents learned in comparing with CG, and the difference in the achievements of the contents unlearned in the treatment in comparing with CG was higher than the one. In addition, the comparisons of the subgroups(high, middle, and low) between EG and CG showed that the treatment had a positive influence on the achievement to all subgroups in EG. That is, the treatment was effective for unable learners. Finally, EG showed statistically significant difference in the sub-domain of simple calculation which might be considered as the benefits of the treatment of the CG as well as in the sub-domain of concept and principle.

Outlier Detection Based on Discrete Wavelet Transform with Application to Saudi Stock Market Closed Price Series

  • RASHEDI, Khudhayr A.;ISMAIL, Mohd T.;WADI, S. Al;SERROUKH, Abdeslam
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.12
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    • pp.1-10
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    • 2020
  • This study investigates the problem of outlier detection based on discrete wavelet transform in the context of time series data where the identification and treatment of outliers constitute an important component. An outlier is defined as a data point that deviates so much from the rest of observations within a data sample. In this work we focus on the application of the traditional method suggested by Tukey (1977) for detecting outliers in the closed price series of the Saudi Arabia stock market (Tadawul) between Oct. 2011 and Dec. 2019. The method is applied to the details obtained from the MODWT (Maximal-Overlap Discrete Wavelet Transform) of the original series. The result show that the suggested methodology was successful in detecting all of the outliers in the series. The findings of this study suggest that we can model and forecast the volatility of returns from the reconstructed series without outliers using GARCH models. The estimated GARCH volatility model was compared to other asymmetric GARCH models using standard forecast error metrics. It is found that the performance of the standard GARCH model were as good as that of the gjrGARCH model over the out-of-sample forecasts for returns among other GARCH specifications.

Liquid-liquid extraction process for gas separation from water in polymeric membrane: Mathematical modeling and simulation

  • Salimi, Nahid;Moradi, Sadegh;Fakhar, Afsaneh;Razavi, Seyed Mohammad Reza
    • Membrane and Water Treatment
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    • v.7 no.5
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    • pp.463-476
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    • 2016
  • In this study, application of polypropylene hollow fiber membrane contactors for $CO_2$ removal from water in liquid-liquid extraction (LLE) mode was simulated. For this purpose, a steady state 2D mathematical model was developed. In this model axial and radial diffusion was considered to $CO_2$ permeation through the hollow fibers. $CO_2$ laden water is fed at a constant flow rate into the lumen side, permeated through the pores of membrane and at the end of this process, $CO_2$ solution in the lumen side was extracted by means of aqueous diethanolamine (DEA) and chemical reaction. The simulation results were validated with the experimental data and it was found a good agreement between them, which confirmed the reliability of the proposed model. Both simulation and experimental results confirmed the reduction in the percentage of $CO_2$ removal by increment of feed flow rate.

A Study on the Visual characteristics of Elevation Composition in Korean Traditional Architecture (한국 전통건축 입면구성의 시지각적 특성에 관한 연구)

  • 장석하;최태봉
    • Journal of the Korean housing association
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    • v.12 no.1
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    • pp.33-43
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    • 2001
  • This study tried to analyze the composition relation of a form in Korean traditional architecture through the viewpoint of visual perception and through the analysis by the number and quantity, and to analyze and implied relationship between the form composition of the traditional architecture and the principles of perception in the contemporary viewpoint by reviewing all the aspects on how to be perceived. Architecture has been studied in the relationship of the form and the space both existing together, so has Korean traditional architecture. But in the present condition with the construction norm of the traditional architecture-well known for its beauty in shape-and documents not existing, so that the study on Korean traditional architecture in the aspects of the form has to be undertaken on the basis of researching the existing architecture theoretically and architecture-relating documents actually. Therefore this study tries to review the mathematical principle and the ideological background of those days, and the attitude of ancestors treatment to the architecture by researching the existing architectural figure. Using mathematical analysis method with the basis of the above synthetically, this study aims at the analysis in the aspects of the visual perception on the form of Korea an traditional architecture.

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A Systems Approach to Immune Response for Cancer Treatment (암 치료를 위한 면역반응의 체계적인 연구)

  • ;Ronald R.Mohier
    • Journal of Biomedical Engineering Research
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    • v.13 no.3
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    • pp.181-188
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    • 1992
  • This paper provides an overview of system analysis of immunology. The theoretical research in this area is aimed at an understanding of the precise manner by which the immune system controls Infec pious diseases, cancer, and AIDS. This can provide a systematic plan for immunological experimentation by means of an integrated program of immune system analysis, mathematical modeling and computer simulation. Biochemical reactions and cellular fission are naturally modeled as nonlinear dynamical processes to synthesize the human immune system! as well as the complete organism it is intended to protect. A foundation for the control of tumors is presented, based upon the formulation of a realistic, knowledge based mathematical model of the interaction between tumor cells and the immune system. Ordinary bilinear differential equations which are coupled by such nonlinear term as saturation are derived from the basic physical phenomena of cellular and molecular conservation. The parametric control variables relevant to the latest experimental data are also considered. The model consists of 12 states, each composed of first-order, nonlinear differential equations based on cellular kinetics and each of which can be modeled bilinearly. Finally, tumor control as an application of immunotherapy is analyzed from the basis established.

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Effects of reflective journal writing to mathematics self-efficacy in reciprocal peer tutoring (상호또래교수에서의 반성적 저널쓰기 활동이 수학자기효능감에 미치는 영향)

  • Choi, Kyehyen;Whang, Woo Hyung
    • The Mathematical Education
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    • v.53 no.1
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    • pp.1-24
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    • 2014
  • This study examines the effects of reflective journal writing on the mathematics self-efficacy in reciprocal peer tutoring. Participants were 38 high school students in Gyeonggi province who attended at a summer intensive mathematics course for 4 weeks. This study used a mixed method. SPSS 21.0 program was used to analyze the quantitative data, and the interviews, observational journals and reflective journals of 6 students were used to analyze qualitative data. According to the results, all the subcategories of mathematics self-efficacy, - mathematics problem-efficacy, mathematics success-efficacy, mathematics learning-efficacy, and mathematics subject-efficacy - improved except mathematics occupation-efficacy. In case of mathematics success-efficacy and mathematics problem-efficacy, students revealed the greatest improvement. In conclusion, reflective journal writing in reciprocal peer tutoring could be suggested as a treatment program to improve students' mathematics self-efficacy.