• 한국수학교육학회지시리즈D:수학교육연구
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• 제26권3호
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• pp.121-125
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• 2023

• 한국학교수학회논문집
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• 제12권3호
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• pp.189-209
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• 2009

수학의 이론적 특성인 추상성은 학생들이 수학적 개념을 파악하는데 많은 어려움을 느끼게 하고 있다. 본 연구는 현실적 수학교육이론에 바탕을 둔 공학적 도구의 활용을 통한 수학적 모델링 학습이 수학적 개념을 파악하는데 유용한 수단이 되는가를 알아 보고자 한다. 이를 위해 중학교 1학년 함수 단원 중 함수의 뜻에 대하여 영재학생들을 대상으로 수학적 모델링 학습을 설계하고 실험 수업을 실시하였으며 사전 사후 수학적 태도 검사와 수학적 모델링의 유용성에 관한 설문조사 및 학습자 관찰기록을 실시하였다. 그 결과 학생들의 수학적 태도에 유의미한 차이가 있는 것으로 나타났으며 과학적 현상에 대한 지식이 수학의 개념을 이해하고 문제를 해결하는데 유용하다는 유의미한 인식의 변화가 있는 것으로 나타났다. 학생의 흥미를 자극하고 학습동기를 촉진하며 수학적 개념을 효과적이고 올바르게 형성하는데 유용하게 쓰여 질 수 있는 다양한 과학적 현상들에 대한 연구와 개발이 이뤄진다면 학생들의 개념학습에 좋은 효과가 있을 것으로 기대한다.

• Smart Structures and Systems
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• 제8권3호
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• pp.275-302
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• 2011

This is a review paper on mathematical modeling of actively controlled piezo smart structures. Paper has four sections to discuss the techniques to: (i) write the equations of motion (ii) implement sensor-actuator design (iii) model real life environmental effects and, (iv) control structural vibrations. In section (i), methods of writing equations of motion using equilibrium relations, Hamilton's principle, finite element technique and modal testing are discussed. In section (ii), self-sensing actuators, extension-bending actuators, shear actuators and modal sensors/actuators are discussed. In section (iii), modeling of thermal, hygro and other non-linear effects is discussed. Finally in section (iv), various vibration control techniques and useful software are mentioned. This review has two objectives: (i) practicing engineers can pick the most suitable philosophy for their end application and, (ii) researchers can come to know how the field has evolved, how it can be extended to real life structures and what the potential gaps in the literature are.

• 한국CDE학회논문집
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• 제20권2호
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• pp.93-103
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• 2015

In this study, we organize and explain various ways to construct 3D models in the 2D plane using Geogebra, mathematical education software that enables us to visualize dynamically the interaction between algebra and geometry. In these ways, we construct three unit vectors for 3 dimensions at a point on the Cartesian coordinates, on the basis of which we can build up the 3D models by putting together basic mathematical objects like points, lines or planes. We can apply the ways of constructing the 3 dimensions on the Cartesian coordinates to modeling of various structures in the real world, and have chances to translate, rotate, zoom, and even animate the structures by means of slider, one of the very important functions in Geogebra features. This study suggests that the visualizing and dynamic features of Geogebra help for sure to make understood and maximize learning effectiveness on mechanical modeling or the 3D CAD.

• Journal of Microbiology and Biotechnology
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• 제15권1호
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• pp.40-47
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• 2005

Modeling and simulation for simultaneous saccharification and fermentation (SSF) process in bioconversion of paper mill sludge to lactic acid was carried out. The SSF process combined the enzymatic hydrolysis of paper mill sludge into glucose and the fermentation of glucose into lactic acid in one reactor. A mathematical modeling for cellulose hydrolysis was developed, based on the proposed mechanism of cellulase adsorption deactivation. Another model for simple lactic acid fermentation was also made. A whole mathematical model for SSF was developed by combining the above two models for cellulose hydrolysis and lactic acid fermentation. The characteristics of the SSF process were investigated using the mathematical model.

• 한국학교수학회논문집
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• 제16권3호
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• pp.561-582
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• 2013

그동안 수학교육에서 의미는 강조되었지만 의미가 뜻하는 것이 무엇인지, 어떻게 분류될 수 있는지는 명확하게 규정되지 못하였다. 이러한 입장에서 의미를 표현적 의미와 인지적 의미로 구분하였으며, 두 의미도 수학적 상황과 현실적 상황으로서의 의미로 다시 재분류 하였다. 의미의 분류를 기반으로, 본 연구에서는 수학적 모델링문제 해결에서 보이는 학생의 의미 인식에 대해 살펴보았다. 그 결과 다른 의미의 이해에 비해 현실적 상황의 인지적 의미 이해에서는 상대적으로 어려움을 겪는다는 것을 알게 되었으며, 식을 세우는 단계에서의 의미보다 풀이과정에서의 의미 이해에 더 어려움을 겪는다는 것을 알게 되었다. 따라서 수학적 모델링의 전 과정에서 의미의 이해를 돕기 위해, 학생이 실생활 상황과 수학을 연결 지어 사고하도록 지도하여야 하며, 측정과 단위를 통한 지도 방법이 실생활 상황과 수학의 연결을 위한 하나의 방안이 됨을 알 수 있었다. 이러한 현실 상황과 수학의 연결을 강조한 지도를 통해 더 폭넓은 수학의 활용이 가능하리라 생각된다.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2007년도 춘계 학술대회논문집
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• pp.163-165
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• 2007

The authors have reviewed many mathematical thermal mode lings of bipropellant propulsion system in literatures to gather basic data for developing a computer program which analyses the performance of bipropellant propulsion system. In this paper COMS and its propulsion system is briefly introduced for understanding. The set of first order nonlinear differential equations is reviewed and considered as candidate equations for the program development.

• Molecules and Cells
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• 제28권2호
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• pp.81-85
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• 2009

$Na^+-H^+$ exchanger (NHE) is the main acid extruder in cardiac myocytes. We review the experimental findings of ion-dependency of NHE activity, and the mathematical modeling developed so far. In spite of extensive investigation, many unsolved questions still remain. We consider that the precise description of NHE activity with mathematical models elucidates the roles of NHE in maintaining ionic homeostasis, especially under pathophysiological conditions.

• KSBB Journal
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• 제14권5호
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• pp.550-560
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• 1999

There have been many research efforts on biofilter modeling including Ottengraf et al. who derived a model equation for the concentration profile of pollutants(e.g., VOCs) in the biolayer and solved their outlet concentration of the waste gas stream through biofilter. However, for most of research works done so far, the effects to explain the effect of adsorption of organic particles to medium(i.e., adsorbent) have been ignored. In this work biofilter modeling accompanying process lumping has been proposed and the theoretical effect of adsorption property of the medium, on the biofilter performance of eliminating organic components in waste gas stream, is intensively discussed.

• Journal of Electrical Engineering and Technology
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• 제13권5호
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• pp.1935-1944
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• 2018

With the increase of the production of energy from renewable, it becomes important to look at techniques to store this energy. Therefore, a single winding bearingless flywheel motor (SWBFM) specially for flywheel energy storage system is introduced. For the control system of SWBFM, coupling between the torque and the suspension subsystems exists inevitably. It is necessary to build a reasonable radial force mathematical model to precisely control SWBFM. However, SWBFM has twelve independently controlled windings which leads to high-order matrix transformation and complex differential calculation in the process of mathematical modeling based on virtual displacement method. In this frame, a Maxwell tensor modeling method which is no need the detailed derivation and complex theoretical computation is present. Moreover, it possesses advantages of universality, accuracy, and directness. The fringing magnetic path is improved from straight and circular lines to elliptical line and the rationality of elliptical line is verified by virtual displacement theory according to electromagnetic torque characteristics. A correction function is taken to increase the model accuracy based on finite element analysis. Simulation and experimental results show that the control system of SWBFM with radial force mathematical model based on Maxwell tensor method is feasible and has high precision.