• Title/Summary/Keyword: mathematical model development

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An approach to building factory scheduling expert system by using model-based AI tool

  • Maruyama, Tadsshi;Konno, Satoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.446-451
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    • 1992
  • In this paper, we propose a method to manage production system easily for operators when either equipments or products are changed. And we explain the scheduling AI tool which realizes the proposal method. The tool's knowledge expression consists of models, rules, mathematical expression and fuzzy logic. The model expresses the relations between products and manufacture, and properties of products. The models are separated into three type, equipment model, operation model, and product model. These models are classified by applicable fields as the assembly process or continuous plant process, The model expression of each type is based on object oriented paradigm. We report systems utilizing our approach.

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Development of Drawbead Expert Models for Finite Element Analysis of Sheet Metal Forming Process (Part2: Modeling) (박판성형공정의 유한요소해석을 위한 드로우비드 전문모델 개발 (2부:모델링))

  • 금영탁;이재우;박승우
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.03a
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    • pp.50-54
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    • 1997
  • An expert drawbead model is developed to model a cranky drawbead in the finite element analysis of stamping processes. The expert model calculates the drawbead restraining forces (DBRF's) and bead-exit thinning, which are boundary conditions. DBRF's are calculated by considering bending force, unbending force, and friction force in order. Bead-exit thinning are due to the bending and tension during the deformation. The DBFR's and thinning computed form the mathematical model for the basic beads are compared with measurements and correction factors compensating for the differences are found using the multiple linear regression method. The composition beads are assumed to be a combination of basic beads so that the DBRF's and bead-exit thinning are computed to the sum of those of basic beads.

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Modelling and Development of Control Algorithm of Endoscopy

  • Ma, Weichao;Lee, Sanghyuk
    • Journal of Convergence Society for SMB
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    • v.4 no.2
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    • pp.33-39
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    • 2014
  • In this paper, basic backgrounds about capsule endoscopy are introduced, and the aims and objectives are also illustrated. Methodology and mathematical model for LuGre model were investigated to analyse system characteristics. A nonlinear friction model, the stick-slip motion system based on LuGre friction model was used to simulate the motion of capsule endoscopy inside human body. Under the different situation, LuGre friction model was simulated by Matlab Simulink software. The entire cycle of motion and the influence of parameters towards to velocity are fully simulated.

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Open mathematics education and Modelling (열린수학과 모델링)

  • 조완영;권성룡
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.663-677
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    • 1998
  • The development of Science and Technology and the social change require new paradigm in Education. In a traditional paradigm, learners have been regarded as a passive being and knowledge could be transmitted to learner. But within this paradigm, it is difficult to confront the social change and to develop problem solving skills in various context. This results in a new, alternative perspective, Constructive paradigm. As an alternative to the traditional settings, Constructive paradigm emphasizes the learner centered instruction. The reform movement in mathematics education including NCTM's standards revolves around this paradigm and the open education movement in our educational system is based on it. Open education values learner's interest, autonomy and internal motivation in learning. However, open education has been misunderstood by most of the teachers. It should be understood as the change of paradigm. In this study, as a way of helping students connect mathematics to their everyday lives and construct meaningful mathematical knowledge and concept, mathematical modelling is suggested. It consists of posing and specifying the real problem, formulation and constructing a mathematical model, analyzing and solving a mathematical problem. interpreting the solution and comparing with reality and communicating results. In this process, technology like computer can be a powerful tool. It can help students explore various problems more easily and concretely.

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Development of Probabilistic Thinking of the Minority Students with Low Achievement & Low SES (교육소외 학생들을 대상으로 확률 이해수준에 관한 연구)

  • Baek, Jung-Hwan;Koh, Sang-Sook
    • The Mathematical Education
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    • v.51 no.3
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    • pp.301-321
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    • 2012
  • Since research has barely been done on the minority with low-achievement & low-SES in probability, this research attempted to search the change of their thinking level in the classes of probability and motivate them on the mathematical learning to feel confident in mathematics. We can say that the problems of the educational discriminations are due to the overlook on the individual conditions, situations, and environments. Therefore, in order to resolve some discrimination, 4 students who belonged to the minority group, engaged in the research, based on 10 units of the instructional materials designed for the research. As a result, for the student's thinking level, it was observed that they were improved from the 1st to the 3rd level in probability. Also, the researcher found that the adequate use of the encouragement, the praise, the direct explanation, and the scaffolding enabled them to prompt their learning motives and the increased responsibility on the learning. As time passed, the participants could share their mathematical knowledge and its concept with others, in the increased confidence.

Learning Model for the Appropriation of Mathematical Knowledge (수학적 지식 점유를 위한 학습 모델)

  • 김선희;이종희
    • School Mathematics
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    • v.5 no.3
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    • pp.297-314
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    • 2003
  • Mathematics students must appropriate their mathematical knowledge which has the definition and theorem of mathematics, algorithm, reasonable thought, heuristic, and mathematics language, and so on. That is, students should construct, use, and apply their own knowledge during learning. Appropriation of mathematical knowledge is practicable when mathematics language is in charge of many functions that Vygotsky cited. To reach the potential development level with mathematics language, students need the zones that they interact themselves and peers, as well as teacher. On that ground, this study presented the interactional zones of IZPD, ZPP, and ZAD, and modeled mathematics learning. By the case of 2 students, we found that ZPP and ZAD were necessary and important.

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A literature research on storytelling in mathematics education (수학교육에서 스토리텔링(storytelling)에 대한 문헌 분석 연구)

  • Suh, Bo-Euk
    • The Mathematical Education
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    • v.52 no.1
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    • pp.65-82
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    • 2013
  • This study has to do with storytelling. In this study, analyzed the domestic and international academic literature and scientific papers. The purpose of this study is to provide the meaningful basic material on mathematics education for the development of storytelling lesson model and teaching material. First, we analyze the causes and background storytelling appeared. The psychologists found that the human cognition's structure consists of a narrative system. And, We realize that the problem 'How will attract the attention of the students in math class' will be solved by storytelling. Second, the means of storytelling about the educational value and benefits were discussed in Mathematics Education. The story has a powerful force in the delivery of mathematical content. And, the story has strong power, led to feelings of students receiving transfer mathematical content. Finally, examined the characteristics of the psychology of learning in mathematics education by storytelling. We were studied about internal and external story. And, we studies on storytelling as the mediator, story as the knowledge transfer, story as the problem-solving process, story as the script.

CARE Model-based Math Learning Coaching Model Development Study (CARE 모델 기반 수학학습 코칭 모델 개발 연구)

  • Kim, Jung Hyun;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.511-533
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    • 2022
  • The purpose of this study is to develop a learning coaching model suitable for the mathematics subject by reflecting the characteristics of the mathematics subject and the mathematics teaching/learning process in the CARE learning coaching model that supports students' self-directed learning. The mathematics learning coaching model developed in this study is a 'step' and 'element' to apply coaching, and a 'strategy' for carrying out it. Mathematics learning coaching model evaluated rapport, trust, state management, and math pre-test as elements of 'creating a comfortable atmosphere', and problem recognition, hypercognition, restructuring, initiative, and math learning ability as elements of 'improving perception'. Self-efficacy, learning readiness, confirmation (feedback) as elements of the 'reawakening of learning immersion' stage, voluntary motivation and success experiences as elements of the 'empowerment' stage, and various math learning strategies to perform each element presented. The math learning coaching model can be used to help math teachers motivate students to learn and help students solve their own problems.

The Role of PK/PD Modeling and Simulation in Model-based New Drug Development (모델 기반학적 신약개발에서 약동/약력학 모델링 및 시뮬레이션의 역할)

  • Yun, Hwi-Yeol;Baek, In-Hwan;Seo, Jeong-Won;Bae, Kyung-Jin;Lee, Mann-Hyung;Kang, Won-Ku;Kwon, Kwang-Il
    • Korean Journal of Clinical Pharmacy
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    • v.18 no.2
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    • pp.84-96
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    • 2008
  • In the recent, pharmacokinetic (PK)/pharmacodynamic (PD) modeling has appeared as a critical path tools in new drug development to optimize drug efficacy and safety. PK/PD modeling is the mathematical approaches of the relationships between PK and PD. This approach in new drug development can be estimated inaccessible PK and PD parameters, evaluated competing hypothesis, and predicted the response under new conditions. Additionally, PK/PD modeling provides the information about systemic conditions for understanding the pharmacology and biology. These advantages of PK/PD model development are to provide the early decision-making information in new drug development process, and to improve the prediction power for the success of clinical trials. The purpose of this review article is to summarize the PK/PD modeling process, and to provide the theoretical and practical information about widely used PK/PD models. This review also provides model schemes and the differential equations for the development of PK/PD model.

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A Study of Vibration Analysis Due to Structual Changes of Dynamic Structure (동적 구조물의 구조변화에 의한 진동해석 연구)

  • 현천성;이기형;정인성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.11
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    • pp.2033-2048
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    • 1992
  • This paper presents the theoretical development and qualitative evaluation of a new concept in the mathematical modeling of dynamic structures. We use both test data and analytical approximations to identify the parameters of an incomplete model. The model has the capability of predicting the response of the points of interest on the structure over the frequency range of interest and can be used to predict the changes in natural frequencies and normal modes due to structural changes. The theory was tested by running simulated tests on a relatively simple structure, identifying the parameters of the incomplete model, and using this model to predict the effects on frequency and mode shapes of several mass and stiffness changes. The conditions of the tests were varied by selecting different numbers of points of measurement, varying the frequency range, and by including assumed measurement error. It is recommended that the theoretical development be continued and that applications to more complex structures be carried out in order to develop a better understanding of the limitations and capabilities of the method. A successful, more definitive sevaluation could lead to immediate practical applications.