• 제목/요약/키워드: mathematical practice

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생체의 활동전위 전도에 관한 연구 (A Study on the Response Propogation of Biological Action Potential)

  • 최규식;문명호;장원석
    • 한국항행학회논문지
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    • 제14권4호
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    • pp.562-570
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    • 2010
  • 뉴런에서 외부 자극을 받아 전위가 활성화되어 축삭을 따라 전도되는 현상은 전기적인 반응형태와 동일하다. 그러므로 본 논문에서는 전기회로의 개념을 도입하여 이러한 흥분전도현상을 해석하고자 하였다. 우선 축삭의 복잡한 전기적인 현상을 해석한 후 그 다음에 현실적으로 합리적이라 할 수 있는 가정 하에 단순화시킨 회로를 구성하였다. 전기공학적인 이론과 수학적인 개념을 도입하여 이 회로를 이용한 흥분전위의 전도현상을 유도하였다. 이 결과를 검증하기 위해 그동안 일반적으로 제시되었던 인체의 생리적, 전기적으로 대표할 수 있는 값들을 이용하여 어느 한 부위의 전위를 계산한 후 이것이 인근의 세포를 흥분시켜 다시 전도되는 현상을 확인하였다.

실시간 계통시뮬레이터를 이용한 송전계통 자동재폐로 교육 및 훈련 시스템 개발 (Development of Education and Training System for the Auto-Reclosing of Power Transmission System Using a Real Time Digital Simulator)

  • 박종찬;윤상윤
    • 전기학회논문지P
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    • 제59권1호
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    • pp.1-9
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    • 2010
  • This paper summarizes an education and training system for the auto-reclosing of power transmission system using a real time digital simulator. The system is developed to understand the principle of reclosing and the sequence of automatic reclosing schemes, and practice the effects of reclosing actions to power system in real-time simulator. This study is concentrated into the following two parts. One is the development of real time education and training system of automatic reclosing schemes. For this, we use the RTDS(real time digital simulator) and the actual digital protective relay. The mathematical relay model of RTDS and the actual distance relay which is equipped automatic reclosing function are also used. The other is the user friendly interface between trainee and trainer. The various interface displays are used for user handing and result display. The conditions of automatic reclosing which is a number of reclosing, reclosing dead time, reset time, and so on, can be changed by the user interface panel. A number of scenario cases are reserved for the education and training. Through the test, we verified that the proposed system can be effectively used to accomplish the education and training of automatic reclosing.

학습성취도 향상을 위한 소그룹 협동학습 방안 연구 (Study on the Cooperative Learning Method to Improve the Educational Achievement)

  • 박형근
    • 한국실천공학교육학회논문지
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    • 제3권1호
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    • pp.40-44
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    • 2011
  • 공학교육에 있어 학생들의 성취도 수준차이는 교육방법을 어렵게 하는 가장 중요한 문제 중 하나이다. 이를 해결하기 위한 방법 중의 하나로 소그룹 협동학습을 통해 학생들 스스로 자율적인 교육과 학습이 이루어지도록 유도함으로서 학생들의 수업이해도를 높일 수 있다. 그러나 대부분의 그룹과제에 있어 학생들 간의 실질적인 협력을 유도하는 것은 쉽지 않을 일이다. 본 논문에서는 수학적 연습을 요구하는 공학교과목에 있어 실질적인 협동학습을 유도하기위한 방안을 제안한다. 제안된 협동학습방법은 학생개별평가결과를 그룹 내 학생들에게 모두 반영함으로서 학생들 간의 활발한 협동학습을 유도하여 학생들의 학습 성취도 편차를 감소시키고 전반적인 이해도를 향상시킬 수 있다.

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구성주의적 관점에서 관찰한 초등수학의 교수.학습방법에 관한 연구 (A Study on Teaching and Learning of Elementary Mathematics is a Constructivists View)

  • 최창우;권기자
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제4권2호
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    • pp.139-150
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    • 2000
  • The objectives of the current study are first, to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructivists view, and, second, thereby to reveal possible problems of the present teaching practice and to suggest some guidelines to solve those problems.The results of this research are as follows: First, longer time was spent to reach the target pont of class because the class was a little bit disturbed and noisy due to a large amount of student activities in the beginning of the class in the constructive view. Second, in the class in the constructive view, the teacher should be able to respond appropriately to the situation where the students were cognitively. And the teachers sufficient preparation for the class was found essential to have the students reach the target point by themselves through identifying children`s minds. Third, the class in the constructivists view provide the teaching environment were the teacher could evaluate each students ability accurately and study progress of the class. And fourth, finally, it was not easy for the teacher to pay attention individually to each student in the current situation of large class, The effort to have more concern for students seems to contribute to opening student`s closed minds and to forming positive attitudes toward mathematics.

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Models for drinking water treatment processes

  • Jusic, Suvada;Milasinovic, Zoran;Milisic, Hata;Hadzic, Emina
    • Coupled systems mechanics
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    • 제8권6호
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    • pp.489-500
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    • 2019
  • With drinking water standards becoming more rigorous and increasing demands for additional water quantities, while water resources are becoming more polluted, mathematical models became an important tool to improve water treatment processes performance in the water supply system. Water treatment processes models reflect the knowledge of the processes and they are useful tools for water treatment process optimization, design, operator training for decision making and fundamental research. Unfortunately, in the current practice of drinking-water production and distribution, water treatment processes modeling is not successfully applied. This article presents a review of some existing water treatment processes simulators and the experience of their application and indicating the main weak points of each process. Also, new approaches in the modeling of water treatment are presented and recommendations are given for the work in the future.

군집화 알고리즘 및 모듈라 네트워크를 이용한 태양광 발전 시스템 모델링 (Modeling of Photovoltaic Power Systems using Clustering Algorithm and Modular Networks)

  • 이창성;지평식
    • 전기학회논문지P
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    • 제65권2호
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    • pp.108-113
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    • 2016
  • The real-world problems usually show nonlinear and multi-variate characteristics, so it is difficult to establish concrete mathematical models for them. Thus, it is common to practice data-driven modeling techniques in these cases. Among them, most widely adopted techniques are regression model and intelligent model such as neural networks. Regression model has drawback showing lower performance when much non-linearity exists between input and output data. Intelligent model has been shown its superiority to the linear model due to ability capable of effectively estimate desired output in cases of both linear and nonlinear problem. This paper proposes modeling method of daily photovoltaic power systems using ELM(Extreme Learning Machine) based modular networks. The proposed method uses sub-model by fuzzy clustering rather than using a single model. Each sub-model is implemented by ELM. To show the effectiveness of the proposed method, we performed various experiments by dataset acquired during 2014 in real-plant.

고객지원 센터의 최적 인력 일정계획 수립 모델 개발에 대한 사례연구 (Case Study : Development of Customer Support Center Staffing Model)

  • 유우연;김희동;양재경
    • 산업공학
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    • 제18권3호
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    • pp.317-326
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    • 2005
  • Staff scheduling is an important area, both from an academic and industrial point of view. It has become increasingly important as business becomes more service oriented and cost conscious in a global environment. There has been a lot of study to develop new and efficient staff scheduling models and methods. The purpose of this paper is not to develop new theoretical results but to develop a comprehensive user-friendly staffing model that can be applied to the real-world practice. The developed staffing software, OptStaff, provides the optimal configuration of the customer support center including the selection of customer support center locations, the allocation of staffs to each selected location, and schedules of staffs, so as to minimize the total cost while maximizing the customer satisfaction level. OptStaff also has capability to do scenario analysis by varying the levels of parameters and to create a variety of graphs and reports with user-friendly interfaces.

퍼지 논리형 상호결합 제어기를 이용한 서보 시스템의 추적제어 (Tracking Control of Servo System using Fuzzy Logic Cross Coupled Controller)

  • 신두진;허욱열
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권8호
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    • pp.361-366
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    • 2001
  • This thesis proposes a fuzzy logic cross coupled controller for a multi axis servo system. The overall control system consists of three elements: the axial position controller, the speed controller, and a fuzzy logic cross coupled controller. In conventional multi axis servo system, the motion of each axis is controlled independently without regard to the motion of other axes, in which the contour error, defined as the shortest distance between the desired and actual contours is compensated only by the position error of each axis. This decoupled control approach may result in degraded contouring performance due to such factors as mismatch of axial dynamics and axial loop gains. In practice, such systems contain many uncertainties, Therefore, the multi axis servo system must receive and evaluate the motion of all axes for a better contouring accuracy. Cross coupled controller utilizes all axis position error information simultaneously to produce accurate contours. However the existing cross coupled controllers cannot overcome friction, backlash and parameter variation. Also, since it is difficult to obtain an accurate mathematical model of multi axis system, here we investigate a fuzzy logic cross coupled controller method. Some simulations and experimental results are presented to illustrate the performance of the proposed controller.

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진단영역 넓은 선속 X선 에너지에 대한 차폐물질의 투과 특성 (Broad Beam Transmission Properties of some Shielding Materials for Use in Diagnostic Radiology)

  • 정희원;김정민;임송수
    • 대한방사선기술학회지:방사선기술과학
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    • 제27권4호
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    • pp.23-29
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    • 2004
  • 진단영역에서 사용하는 넓은 선속 X선 에너지에 대한 차폐물질의 투과 특성을 Archer의 수학적 모델을 적용하여 나타내었다. 인버터 방식의 고전압발생장치를 사용하는 X선 발생장치를 사용하여 관전압 60 kVp부터 140 kVp까지의 범위에서 납, 철, 콘크리트, 유리등의 차폐체의 투과 특성을 나타내었다. 이러한 인버터 방식의 고전압발생장치를 사용하는 진단영방사선발생장치의 관전압별 투과도는 진단방사선발생장치를 사용하는 작업공간에서의 차폐 설계 시 차폐물질의 종류와 두께의 설정에 도움이 될 것이다.

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Survey of nonlinear state estimation in aerospace systems with Gaussian priors

  • Coelho, Milca F.;Bousson, Kouamana;Ahmed, Kawser
    • Advances in aircraft and spacecraft science
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    • 제7권6호
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    • pp.495-516
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    • 2020
  • Nonlinear state estimation is a desirable and required technique for many situations in engineering (e.g., aircraft/spacecraft tracking, space situational awareness, collision warning, radar tracking, etc.). Due to high standards on performance in these applications, in the last few decades, there was an increasing demand for methods that are able to provide more accurate results. However, because of the mathematical complexity introduced by the nonlinearities of the models, the nonlinear state estimation uses techniques that, in practice, are not so well-established which, leads to sub-optimal results. It is important to take into account that each method will have advantages and limitations when facing specific environments. The main objective of this paper is to provide a comprehensive overview and interpretation of the most well-known methods for nonlinear state estimation with Gaussian priors. In particular, the Kalman filtering methods: EKF (Extended Kalman Filter), UKF (Unscented Kalman Filter), CKF (Cubature Kalman Filter) and EnKF (Ensemble Kalman Filter) with an aerospace perspective.