• 제목/요약/키워드: digital mathematical model

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대화형 수학 디지털교과서 개발과 활용 사례 연구 - 선형대수학을 중심으로- (Development and Usage of Interactive Digital Linear Algebra Textbook)

  • 이상구;이재화;박경은
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제31권3호
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    • pp.241-255
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    • 2017
  • 스마트 교육 환경과 4차 산업 혁명 시대를 맞이하여 편리한 기능을 갖는 다양한 테크놀로지들을 활용하는 새로운 차원의 디지털 수학 교과서가 필요하게 되었다. 한국의 경우 초 중등 수학 교육에서는 여러 다양한 시도가 있었으나 대학 수학교육의 경우 디지털 수학 교과서 관련 연구는 미비하였다. 본 논문에서는 선형대수학을 중심으로 디지털 콘텐츠와 대화형 실습실을 활용하는 디지털 교과서를 소개한다. 본 교과서는 본 연구진이 직접 개발하여 누구나 http://matrix.skku.ac.kr/LA-K에서 다운로드 받을 수 있도록 제공하였으며, 기존의 종이 교과서(서책형)를 단순히 pdf 형태의 파일로 변환하여 애니메이션이나 참고자료 등을 추가한 수준에서 벗어나 전자책, 웹 콘텐츠, 강의 동영상, 대화형 실습실을 포함한다. 본 선형대수학 디지털 교과서는 학생들이 어떠한 모바일 기기에서든 시간과 장소의 제약 없이 자유롭게 사용할 수 있으며, 계산, 코딩 및 타이핑 과정에서 절약된 시간을 수학 개념을 더 깊이 이해하는데 사용할 수 있다. 코드를 포함한 대화형 실습실 및 동영상 강의를 탑재한 최초의 수학 디지털 교과서로 평가되는 본 연구의 결과물은 차세대 디지털 교과서의 주요 모델 중 하나가 될 것으로 판단된다.

협력적 문제해결능력 신장을 위한 공학수학 수업모형의 설계원리 개발 (Development of The Design Principles for Engineering Mathematics Teaching Model for Improving Students' Collaborative Problem Solving Abilities In College)

  • 정애경;이상회;홍유나;김능연
    • 전자공학회논문지 IE
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    • 제48권1호
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    • pp.36-44
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    • 2011
  • 본 연구는 전문대학 공학계열 학생들의 수학 기초학습능력과 문제해결능력 신장을 위한 공학수학 수업모형의 설계원리를 도출하고 개발하는 데 목적이 있다. 본 연구를 위해서 첫째, D 대학 디지털전자과의 교수 학습환경 분석과 함께 산업체 및 졸업생을 대상으로 한 요구분석을 실시하였고, 둘째, 요구분석 결과와 관련 선행연구를 바탕으로 공학수학 수강생들의 기초수학학습능력과 문제해결능력 신장을 위한 수업모형의 기반 설계이론을 도출하였다. 연구 결과, 수업모형의 기반 설계이론으로는 (1) 수학 기본개념과 반복훈련을 통해서 수학 기초학습능력을 높이고, (2) 동료 학습자간 협력적 문제해결활동을 통해서 문제해결능력을 신장하고, (3) 학습자의 성찰을 촉진하고 학습자의 수업활동에 대한 교수자의 체계적인 점검과 즉각적인 피드백을 제공하고, (4) 최근 온라인과 모바일 환경에 익숙한 학습자들이 자기주도적으로 학습할 수 있는 환경을 제공하는 것이다.

디지틀 컴퓨터에 의한 복합영농(複合營農) 시스템의 최적화(最適化) 연구(硏究) (I) -수학적(數學的) 모형(模型) (Optimizing Diversified Farming Systems by Digital Computer (I) -Mathematical Model)

  • 장동일;김기철;이상우;김만수
    • Journal of Biosystems Engineering
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    • 제11권1호
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    • pp.64-75
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    • 1986
  • The objective of this study was to develop a mathematical model for optimum design of diversified farming systems which have the regional characteristics. For this purpose, the farming surveys were conducted for mainly 1984 agriculture. They were carried out on January and July 1985 for three villages of central region of Korea. The surveyed data were analyzed by systems analysis and the diversified farming systems were modeled. They consist of four and six croping patterns for paddy and upland, two and three kinds of fruit crop and livestock, and seven kinds of farm machinery for each work system. Then a mathematical model was developed by the multiple objective decision making (MODM) method in order to design optimum systems of diversified farming. It consists of 23 decision variables, two objective functions and nine constraint functions. The goals of objective function are maximization of agricultural incomes and power inputs of farm machinery, and the modeled factors for constraint function are arable land, available capital, labor, and land utilization.

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디지털 스포츠 중독의 비선형 거동 해석 (Analysis of Nonlinear Behavior for Addiction in Digital Sport)

  • 배영철
    • 한국전자통신학회논문지
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    • 제12권5호
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    • pp.977-982
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    • 2017
  • 최근에 ICT(information communication technology)의 발달과 더불어 스포츠를 ICT와 융합하고자 하는 노력이 지속되고 있다. 이러한 대표적인 것이 게임을 들 수 있다. 또한 스크린 골프, 스크린 볼링과 같은 스포츠와 디지털을 혼합한 형태의 디지털 스포츠가 발달하고 있다. 일반 스포츠에도 중독 문제가 있듯이 디지털 스포츠에도 중독 문제가 존재한다. 본 논문에서는 디지털 스포츠에서의 중독 모델을 분수차수(fractional-order)로 제시하고 이 모델로부터 비선형 거동을 시계열과 위상 공간으로 나타내고, 이들 사이의 차이점을 확인한다.

Mathematical Modeling of VSB-Based Digital Television Systems

  • Kim, Hyoung-Nam;Lee, Yong-Tae;Kim, Seung-Won
    • ETRI Journal
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    • 제25권1호
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    • pp.9-18
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    • 2003
  • We mathematically analyze the passband vestigial sideband (VSB) system for the Advanced Television Systems Committee (ATSC) digital television standard and present a baseband-equivalent VSB model. The obtained baseband VSB model is represented by convolution of the transmission signal (before modulation) and the baseband equivalent of the complex VSB channel. Due to the operation of the physical channel as an RF passband and the asymmetrical property of VSB modulation, it is necessary to use a complex model. However, the passband channel may be reduced to an equivalent baseband. We show how to apply standard channel model information such as delay, gain, and phase for multiple signal paths to compute both the channel frequency response with a given carrier frequency and the resulting demodulated impulse response. Simulation results illustrate that the baseband VSB model is equivalent to the passband VSB model.

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컴퓨터의 간헐적 차단시 디지털 제어시스템의 알고리즘 연구와 시뮬레이션 (A Study on the Algorithm for Digital Control System with Computer Interruption and its Simulation)

  • 장성환;두평수;조현섭
    • 대한전기학회논문지
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    • 제41권7호
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    • pp.694-700
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    • 1992
  • The digital computer control systems which are used in time sharing control or remote control may experience intermittent interruptions. Further it can be made unstable by the intermittent interruptions of a control computer. This paper presents a mathematical model with intermittent computer interruptions and an unstable output response through simulation. Also it presents to improve the control quality using extrapolation method in interrupt synchronizing feedback path.

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전동식 동력 조향 장치 연구를 의한 HILS 시스템 개발 (A Development of Hardware-in-the Loop Simulation System For a Electric Power Steering System)

  • 박동진;윤석찬;한창수
    • 대한기계학회논문집A
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    • 제24권12호
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    • pp.2883-2890
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    • 2000
  • In this study, a Hardware-In-The-Loop-Simulation(HILS) system for developing a Electric-Power-Steering(EPS) system is designed. To test a EPS by HILS system, a mathematical vehicle model with a steering system model has been constructed. This mathematical model has been constructed. This mathematical model has been downloaded to the Digital-Signal-Processor(DSP) board. To realize the lateral force acting on the front wheel in a real car. the steering wheel angle sensor and vehicle velocity have been used for input signal. The force sensor has been used for a feedback signal. The full vehicle states could by simulated by the HILS system. Consequently, the HILS system could by used to analyze control-parameters of a EPS that contributes to the maneuverability and stability of a vehicle. At the same time, the HILS system can evaluate the whole performance of the vehicle-steering system. Also the HILS system could do test could not be executed in real vehicle. The HILs system will useful for developing the control logic for the EPS system.

비정형 콘크리트 패널의 수학적 알고리즘을 이용한 생산-설치 데이터 생성모델 기초연구 (A Basic Study on Data Estimation Model of Production-installation Using Mathematical Algorithm in Free-Form Concrete Panel)

  • 손승현;김선국
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2016년도 춘계 학술논문 발표대회
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    • pp.166-167
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    • 2016
  • Unlike the past, supported by the development of digital technologies, free-form buildings are frequently designed with creative thoughts of architectural designers. However, there are some difficulties preventing successfully completion of projects, like reduced productivity and increased construction duration and cost upon the process of producing and installing concrete panels for free-form structures. In particular, there are active studies on the CNC machine for production of free-form concrete panels. Yet, it is difficult to effectively and easily come up with information on production and installation of free-form, curve-surfaced panels which are difficult to be mathematically defined. This requires a lot of manpower and time to implement the curved surfaces of free-form buildings as intended by architects. Accordingly, it needs a model that can effectively create production-installation data of free-form concrete panels for successful free-form building projects. Thus, the purpose of the study is to suggest data estimation model of production-installation using mathematical algorithm in free-form concrete panels. The study results will realize effective production and installation of free-form concrete members, allowing improved productivity of projects, reduced cost and shortened construction duration.

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모바일 클라우드 컴퓨팅의 작업 실행 시간에 대한 연구 (Study on the Job Execution Time of Mobile Cloud Computing)

  • 정성민;김태경
    • 디지털산업정보학회논문지
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    • 제8권1호
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    • pp.99-105
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    • 2012
  • Given the numbers of smartphones, tablets and other mobile devices shipped every day, more and more users are relying on the cloud as the main driver for satisfying their computing needs, whether it is data storage, applications or infrastructure. Mobile cloud computing is simply cloud computing in which at least some of the devices involved are mobile. Each node is owned by a different user and is likely to be mobile. Using mobile hardware for cloud computing has advantages over using traditional hardware. These advantage include computational access to multimedia and sensor data without the need for large network transfer, more efficient access to data stored on other mobile devices and distributed ownership and maintenance of hardware. It is important to predict job execution time in mobile cloud computing because there are many mobile nodes with different capabilities. This paper analyzes the job execution time for mobile cloud computing in terms of network environment and heterogeneous mobile nodes using a mathematical model.

공간통사론의 수학모델과 분석도구의 개발에 관한 연구 (A Study on Space Syntax Mathematical Model and Software Development for Analyzing)

  • 이종렬
    • 한국디지털건축인테리어학회논문집
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    • 제6권2호
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    • pp.1-8
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    • 2006
  • This study is investigates space syntax theory, developed by Bill Hiller, used for physical analysis and visual access of space and role of spatial configuration based on social logic. it mean computer program analyze physical structure of space and represent by mathematical logic. it used for predict space use and Descriptive of spatial configuration. This method and theory is incompletion for design, but it enough useful tool for architecture and urban design and will be improved. And development of a simple computer program - SSA(Sspace Syntax Analysis) for space syntax analysis and study. SSA is based on convex map analysis and using VISIO software for easily using and development.

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