• Title/Summary/Keyword: Mathematical Models

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Suitability of Counter-current Model for Biogas Separation Processes using Cellulose Acetate Hollow Fiber Membrane (셀룰로오스 아세테이트 중공사 분리막을 이용한 바이오가스 분리에 대한 향류 흐름 모델의 적용성)

  • Jung, Sang-Chul;Kwon, Ki-Wook;Jeon, Mi-Jin;Jeon, Yong-Woo
    • Journal of the Korea Organic Resources Recycling Association
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    • v.28 no.4
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    • pp.43-52
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    • 2020
  • As the membrane gas separation technology grows, various models were developed by numerous researchers to describe the separation process. In this work, the counter-current model was compared thoroughly with experimental data. Experimentally, hollow fiber membrane using CA module was prepared for the separation of biogas. The pure gas permeation properties of membrane module for methane, nitrogen, oxygen, and carbon dioxide were measured. The permeance of CO2 and CH4 were 25.82 GPU and 0.65 GPU, respectively. The high CO2/CH4 selectivity of 39.7 was obtained. the separation test for three different simulated mixed gases were carried out after pure gas test, and the gas concentration of the permeate at various stage-cut were measured from CA membrane module. Results showed that the experimental data agreed with the numerical simulation. A mathematical model has implemented in this study for the separation of biogas using a membrane module. The finite difference method (FDM) is applied to calculate the membrane biogas separation behaviors. Futhermore, the counter-current model can be considered as a convenient model for biogas separation process.

Assessment of a fresh submarine groundwater discharge in eastern Jeju Island using analytic seawater intrusion models (해수침투 해석해 기반 제주 동부 담해저 지하수 유출의 정량적 산정)

  • Kim, Il-Hwan;Chang, Sun Woo
    • Journal of Korea Water Resources Association
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    • v.55 no.12
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    • pp.1011-1020
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    • 2022
  • Previous studies for the assessment of submarine groundwater discharge (SGD) were perfomed for areas where a large amount of SGD was observed. Newly developed assessment methods were proposed that was based on an analytic solution using sharp interface model. The proposed mathematical equations used the existing observed groundwater level and hydrogeological data of Jeju Island as input data. The quantitatively assessed FSGD values were compared to the basin-scale recharge estimation values in Seong-San area in eastern Jeju. As a result of the study, it was estimated that the amount of FSGD in the Seongsan area ranges from about 2.65 to 9.15% of the amount of areal-recharge. Through the analysis of the FSGD combined with the analytic model, it is to be provided as a scientific tool to establish a more reasonable coastal water resource management plan.

A comparison of synthetic data approaches using utility and disclosure risk measures (유용성과 노출 위험성 지표를 이용한 재현자료 기법 비교 연구)

  • Seongbin An;Trang Doan;Juhee Lee;Jiwoo Kim;Yong Jae Kim;Yunji Kim;Changwon Yoon;Sungkyu Jung;Dongha Kim;Sunghoon Kwon;Hang J Kim;Jeongyoun Ahn;Cheolwoo Park
    • The Korean Journal of Applied Statistics
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    • v.36 no.2
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    • pp.141-166
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    • 2023
  • This paper investigates synthetic data generation methods and their evaluation measures. There have been increasing demands for releasing various types of data to the public for different purposes. At the same time, there are also unavoidable concerns about leaking critical or sensitive information. Many synthetic data generation methods have been proposed over the years in order to address these concerns and implemented in some countries, including Korea. The current study aims to introduce and compare three representative synthetic data generation approaches: Sequential regression, nonparametric Bayesian multiple imputations, and deep generative models. Several evaluation metrics that measure the utility and disclosure risk of synthetic data are also reviewed. We provide empirical comparisons of the three synthetic data generation approaches with respect to various evaluation measures. The findings of this work will help practitioners to have a better understanding of the advantages and disadvantages of those synthetic data methods.

Drawing up class module elements of originality and convergence and suggesting class modules by combining middle school physical education and STEAM (중학교 체육과 STEAM 융합을 통한 창의·융합 수업 모듈 요소 도출 및 수업 모듈 제시)

  • Hong, Hee-Jung;Lim, Hyun-Joo
    • Journal of Wellness
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    • v.14 no.2
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    • pp.207-223
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    • 2019
  • The purpose This study aimed at proposing class module elements for creativity and convergence and class models for creativity and convergence by integrating content elements by physical activity field(health, challenge, competition, ) for physical education and STEAM. For this, literature review, focus group interview(FGI) and discussions with experts were conducted, and the following study results have been drawn up: First, concerning the class module elements for creativity and convergence, total 11 class module elements in the health field were suggested including detecting risks by posture analysis and analyzing and designing amount of physical activity. Second, total 7 module elements in the challenge field were deduced such as anticipation of obstacles to target achievement and modeling of effective exercise. There were 17 convergence elements in the competition field including game record analysis and creation of game data storage application. Third, total 9 creativity and convergence module elements in the field include modeling of technology improvement for motion and symbolization for motion records. In addition, class modules related to convergence with engineering in the health field, convergence with technology in the challenge field, convergence with art in the competition field and convergence with art and mathematical symbols were proposed.

A Comparative Study of the Efficiency among Korea, Chinese, and Japanese Ports (한·중·일 항만효율성 비교연구)

  • KOO, Jong-soon;LEE, Jung-sun;JEON, Dong-hwa
    • The Journal of shipping and logistics
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    • v.27 no.3
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    • pp.457-474
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    • 2011
  • The aim of this study is to analyze the efficiency of major ports in Northeast Asia such as Korea, China and Japan. For the empirical analysis, we tried to apply the data envelopment analysis (DEA), which is an efficiency evaluation model based on mathematical programming theory, and we also established a model to Northeast Asian ports. In our opinion, DEA analysis which involves multiple inputs as well as multiple outputs in its efficiency valuation makes analysis more suitable for port efficiency measurement because ports produce a number of different outputs. In this paper, we attempted to analyze the relative efficiency of 27 ports (5 Korean ports, 13 Chinese ports, 9 Japanese ports) through DEA-CCR, DEA-BCC models. According to the result, Chinese ports are relatively efficient than Korean and Japanese ports. The result of the analysis shows that 7 Chinese ports are efficient in DEA-CCR model in 2009, but in DEA-BCC model 8 Chinese ports and 1 Koran port are efficient. Most of inefficient ports have a value closed to 1 in efficiency for scale, it means that the reason of inefficiency is caused from the technical aspect. Furthermore, we also verified that there exists excess of input in Korean and Japanese ports than Chinese ports.

Customized maxillary incisor position relative to dentoskeletal and soft tissue patterns in Chinese women: A retrospective study

  • Zhou, Xueman;Zheng, Yingcheng;Zhang, Zhenzhen;Zhang, Zihan;Wu, Lina;Liu, Jiaqi;Yang, Wenke;Wang, Jun
    • The korean journal of orthodontics
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    • v.52 no.2
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    • pp.150-160
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    • 2022
  • Objective: To provide reliable prediction models based on dentoskeletal and soft tissue variables for customizing maxillary incisor positions and to optimize digitalized orthodontic treatment planning. Methods: This study included 244 Chinese women (age, 18-40 years old) with esthetic profiles after orthodontic treatment with fixed appliances (133 in group I: 1° ≤ The angle between the nasion [N]-A point [A] plane and the N-B point [B] plane [ANB] ≤ 4°; 111 in group II: 4° < ANB ≤ 7°). Dental, skeletal, and soft tissue measurements were performed on lateral cephalograms of the participants. Correlation and multiple linear regression analyses were used to determine the influence of dentoskeletal and soft tissue variables on maxillary incisor position. Results: The ideal anteroposterior position of the maxillary incisor varied between sagittal skeletal patterns. The position of the maxillary incisor correlated with the sagittal discrepancy between the maxilla and the mandible (ANB), protrusion of the midface, nasal tip projection, development of the chin, and inclination of both the maxillary and mandibular incisors. Distance from the maxillary central incisor to nasion-pogonion plane predicted using multiple linear regression analysis was accurate and could be a practical measurement in orthodontic treatment planning. Conclusions: Instead of using an average value or norm, orthodontists should customize a patient's ideal maxillary incisor position using dentoskeletal and soft tissue evaluations.

Simulation-based Education Model for PID Control Learning (PID 제어 학습을 위한 시뮬레이션 기반의 교육 모델)

  • Seo, Hyeon-Ho;Kim, Jae-Woong;Park, Seong-Hyun
    • Journal of Convergence for Information Technology
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    • v.12 no.3
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    • pp.286-293
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    • 2022
  • Recently, the importance of elemental technologies constituting smart factories is increasing due to the 4th Industrial Revolution, and simulation is widely used as a tool to learn these technologies. In particular, PID control is an automatic control technique used in various fields, and most of them analyze mathematical models in certain situations or research on application development with built-in controllers. In actual educational environment requires PID simulator training as well as PID control principles. In this paper, we propose a model that enables education and practice of various PID controls through 3D simulation. The proposed model implemented virtual balls and Fan and implemented PID control by configuring a system so that the force can be lifted by the air pressure generated in the Fan. At this time, the height of the ball was expressed in a graph according to each gain value of the PID controller and then compared with the actual system, and through this, satisfactory results sufficiently applicable to the actual class were confirmed. Through the proposed model, it is expected that the rapidly increasing elemental technology of smart factories can be used in various ways in a remote classroom environment.

An Analysis of Pattern Activities of a Finding Rules Unit in Government-Authorized Mathematics Curricular Materials for Fourth Graders (4학년 수학 검정 교과용 도서의 규칙 찾기 단원에 제시된 패턴 활동의 지도 방안 분석)

  • Pang, JeongSuk;Lee, Soojin
    • Education of Primary School Mathematics
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    • v.26 no.1
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    • pp.45-63
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    • 2023
  • The activity of finding rules is useful for enhancing the algebraic thinking of elementary school students. This study analyzed the pattern activities of a finding rules unit in 10 different government-authorized mathematics curricular materials for fourth graders aligned to the 2015 revised national mathematics curriculum. The analytic elements included three main activities: (a) activities of analyzing the structure of patterns, (b) activities of finding a specific term by finding a rule, and (c) activities of representing the rule. The three activities were mainly presented regarding growing numeric patterns, growing geometric patterns, and computational patterns. The activities of analyzing the structure of patterns were presented when dealing mainly with growing geometric patterns and focused on finding the number of models constituting the pattern. The activities of finding a specific term by finding a rule were evenly presented across the three patterns and the specific term tended to be close to the terms presented in the given task. The activities of representing the rule usually encouraged students to talk about or write down the rule using their own words. Based on the results of these analyses, this study provides specific implications on how to develop subsequent mathematics curricular materials regarding pattern activities to enhance elementary school students' algebraic thinking.

Geological Factor Analysis for Evaluating the Long-term Safety Performance of Natural Barriers in Deep Geological Repository System of High-level Radioactive Waste (지질학적 심지층 처분지 내 천연방벽의 고준위 방사성 폐기물 장기 처분 안전성 평가를 위한 지질학적 인자 분석)

  • Hyeongmok Lee;Jiho Jeong;Jaesung Park;Subi Lee;Suwan So;Jina Jeong
    • Economic and Environmental Geology
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    • v.56 no.5
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    • pp.533-545
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    • 2023
  • In this study, an investigation was conducted on the features, events, and processes (FEP) that could impact the long-term safety of the natural barriers constituting high-level radioactive waste geological repositories. The FEP list was developed utilizing the IFEP list 3.0 provided by the Nuclear Energy Agency (NEA) as foundational data, supplemented by geological investigations and research findings from leading countries in this field. A total of 49 FEPs related to the performance of the natural barrier were identified. For each FEP, detailed definitions, classifications, impacts on long-term safety, significance in domestic conditions, and feasibility of quantification were provided. Moreover, based on the compiled FEP list, three scenarios that could affect the long-term safety of the disposal facility were developed. Geological factors affecting the performance of the natural barrier in each scenario were selected and their relationships were visualized. The constructed FEP list and the visualization of interrelated factors in various scenarios are anticipated to provide essential information for selecting and organizing factors that must be considered in the development of mathematical models for quantitatively evaluating the long-term safety of deep geological repositories. In addition, these findings could be effectively utilized in establishing criteria related to the key performance of natural barriers for the confirmation of repository sites.

Evaluation of the CNESTEN's TRIGA Mark II research reactor physical parameters with TRIPOLI-4® and MCNP

  • H. Ghninou;A. Gruel;A. Lyoussi;C. Reynard-Carette;C. El Younoussi;B. El Bakkari;Y. Boulaich
    • Nuclear Engineering and Technology
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    • v.55 no.12
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    • pp.4447-4464
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    • 2023
  • This paper focuses on the development of a new computational model of the CNESTEN's TRIGA Mark II research reactor using the 3D continuous energy Monte-Carlo code TRIPOLI-4 (T4). This new model was developed to assess neutronic simulations and determine quantities of interest such as kinetic parameters of the reactor, control rods worth, power peaking factors and neutron flux distributions. This model is also a key tool used to accurately design new experiments in the TRIGA reactor, to analyze these experiments and to carry out sensitivity and uncertainty studies. The geometry and materials data, as part of the MCNP reference model, were used to build the T4 model. In this regard, the differences between the two models are mainly due to mathematical approaches of both codes. Indeed, the study presented in this article is divided into two parts: the first part deals with the development and the validation of the T4 model. The results obtained with the T4 model were compared to the existing MCNP reference model and to the experimental results from the Final Safety Analysis Report (FSAR). Different core configurations were investigated via simulations to test the computational model reliability in predicting the physical parameters of the reactor. As a fairly good agreement among the results was deduced, it seems reasonable to assume that the T4 model can accurately reproduce the MCNP calculated values. The second part of this study is devoted to the sensitivity and uncertainty (S/U) studies that were carried out to quantify the nuclear data uncertainty in the multiplication factor keff. For that purpose, the T4 model was used to calculate the sensitivity profiles of the keff to the nuclear data. The integrated-sensitivities were compared to the results obtained from the previous works that were carried out with MCNP and SCALE-6.2 simulation tools and differences of less than 5% were obtained for most of these quantities except for the C-graphite sensitivities. Moreover, the nuclear data uncertainties in the keff were derived using the COMAC-V2.1 covariance matrices library and the calculated sensitivities. The results have shown that the total nuclear data uncertainty in the keff is around 585 pcm using the COMAC-V2.1. This study also demonstrates that the contribution of zirconium isotopes to the nuclear data uncertainty in the keff is not negligible and should be taken into account when performing S/U analysis.