• 한국수학교육학회지시리즈A:수학교육
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• 제38권2호
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• pp.179-187
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• 1999

Math teachers are very short of computer tools and manipulatives to use in geometry classes of middle schools for the development of spatial abilities. At most they can ask student to make regular polyhedrons for helping the students to understand by concrete experience, but this experience is not enough to develop spatial abilities in spatial figures including the regular polyhedrons. This article is to introduce instructional materials for development of spatical ability in the regular polyhedrons using computer software, Geometer's Sketchpad. In this article, students can imagine the whole figure through the parts of a plane figure and think of the parts from the solid figure by free movement from 2 dimensions to 3 dimensions, or from 3 dimensions to 2 dimensions. Also, the instructional materials devised in this article will be good to enhance spatial abilities because the relation of 1-1 correspondence in the movement of the parts can be conserved and observed precisely, which is very hard to demonstrate and visualize by paper-and-pencil. It is recommended that this kind of materials should be developed in various ways for teachers to use them directly in their geometry classes.

• East Asian Economic Review
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• 제19권2호
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• pp.189-220
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• 2015

Multi-scale representations are effective in characterising the time-frequency characteristics of financial return series. They have the capability to reveal the properties not evident with typical time domain analysis. Given the aforesaid, this study derives crucial insights from multi scale analysis to investigate the co-movements between Indian and emerging Asian equity markets using wavelet correlation and wavelet coherence measures. It is reported that the Indian equity market is strongly integrated with Asian equity markets at lower frequency scales and relatively less blended at higher frequencies. On the other hand the results from cross correlations suggest that the lead-lag relationship becomes substantial as we turn to lower frequency scales and finally, wavelet coherence demonstrates that this correlation eventually grows strong in the interim of the crises period at lower frequency scales. Overall the findings are relevant and have strong policy and practical implications.

• 한국지리정보학회지
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• 제13권1호
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• pp.155-163
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• 2010

NASA의 Terra 위성에 탑재된 ASTER는 기선고도비 0.6, 15m 해상도의 along-track 디지털 스테레오 영상자료를 제공한다. $43km{\times}50km $ 지역에 대한 ASTER 스테레오영상으로부터 ENVI 4.1 소프트웨어의 자동 스테레오 상관처리과정을 실행하여 $15m{\times}15m$의 DEM을 추출하였다. ASTER DEM의 정확도를 1:25,000축척의 수치지형도로부터 얻은 DEM을 기준으로 하여 분석한 결과, 높이에서 RMSE ${\pm}7{\sim}{\pm}20m$를 나타냈다. RMSE ${\pm}10m$를 초과하게 하는 요인들로서 구름지역, 수역, 건물지역들을 제외한 지역들의 DEM 정확도는 5.789m의 RMSE를 나타냈다. 따라서 본 연구에서는 구름지역과 그림자 지역을 토지피복 분류에 의해 검출하여 추출된 ASRER DEM(엄밀히 말해서 DSM) 상에서 그 부분들을 제거한 다음, 밴드간 연산기법을 이용하여 이 부분을 수치지형도로부터 추출한 DEM으로 대치함으로써 지형정보의 정확도를 높이고자 하였다.

• 대한기계학회논문집A
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• 제34권12호
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• pp.1837-1842
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• 2010

화석에너지의 고갈로 인한 대체 에너지 연구는 최근 수십 년 동안 계속 행해지고 있다. 원자력 에너지와 비교해서 낮은 전기발생 효율에도 불구하고, 환경친화적이며 태양이라는 영구성으로 태양에너지는 주목 받고 있다. 본 논문에서는 태양전지의 효율에 가장 영향을 미치는 인자로 햇빛 입사각의 변화와 Top Connector 형상이라 가정하고 MATLAB 과 MathCAD 를 이용하여 모사하였다. 실험모사 결과 상용화 제품인 500um 선폭, 5um 높이 Top Connector 형상과 비교하여, 최고 10%의 태양전지 효율증가는 Top Connector 후막 두께가 25~50 um, 선폭 두께가 50~100um 영역에서 찾을 수 있었다. 10 만 cps 의 점도를 갖는 은페이스를 500um 의 MDDW (Micro-Dispensing Deposition Writing) 직접분사 노즐을 이용하여 성공적으로 25 um 후막을 형성하였다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제28권4호
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• pp.457-474
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• 2014

최근 테크놀로지가 발달함에 따라 대학 수학교육에서 시각화를 통한 추상적인 수학적 개념의 직관적 이해는 그 비중이 점점 커지고 있다. 본 연구에서는 대학 미분적분학을 학습하는 학생들의 이해를 도울 수 있고 웹만 연결되어 있으면 무료로 사용할 수 있는 그리고 필요한 내용을 직접 개발할 수 있는 도구 중 그 장점이 잘 알려져 있는 지오지브라(GeoGebra)를 활용한 무료 시각화 자료들을 개발하여 소개한다. 특히 미분적분학 교재의 순서에 맞추어 개발된 시뮬레이션 도구를 활용하여 개념의 이해와 함께 새로운 지식을 생산할 수 있는 교육환경을 제공하고자 하였다. 마지막으로 미적분학 개념들의 시각화를 마친 이번 시도가 대학수학의 다른 강좌와 중등 수학교육으로 확대될 수 있는 가능성에 대하여 논의하였다.

• 한국추진공학회지
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• 제11권3호
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• pp.20-28
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• 2007

압축기의 써지 현상을 관찰하는 가장 쉬운 방법의 하나로는 부분품의 성능특성도상에 정적 그리고 동적 운용 특성을 나타내는 것이 될 수 있다. 이 경우 엔진의 작동범위가 써지 범위에 의하여 제한될 것이고 따라서 엔진은 엔진의 정적 또는 과도 성능의 전 과정에 걸쳐 일정한 써지 한계를 갖도록 요구되고 있다. 로터의 극관성 모멘트, 닥트 내 공기/가스의 용적 그리고 열전달 효과 등은 엔진의 작동이 정적 특성으로부터 일탈하게 되는 주요 요소들이다. 시스템 내에서 열교환기가 존재하는 경우처럼 큰 용적의 경우 그것은 동적 작동 특성에 상당한 영향을 주게 될 것인데 본 논문에서는 보조동력기관으로 사용되는 마이크로터빈의 예를 들어 엔진의 과도성능 특성에 압축기의 출구에서 추출되는 냉각공기가 미치는 영향을 조사코자 하였다. 질량 및 일 그리고 회전수 일치 법칙에 근거하여 터빈을 흐르는 가스 유량, 압력비, 회전 속도, 동력 그리고 모멘트가 계산되었다. 본 연구의 결과는 제어시스템 설계를 위한 기초 자료로 활용될 수 있을 것이다. 이러한 과도 성능을 계산하기 위한 프로그램을 개발을 위해서 상업용 MathCAD 소프트웨어를 사용하였다.

• 대한수학교육학회지:수학교육학연구
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• 제8권1호
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• pp.59-71
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• 1998

Recently, most classrooms in Korea are fully equipped with multimedia environments such as a powerful pentium pc, a 43″large sized TV, and so on through the third renovation of classroom environments. However, there is not much software teachers can use directly in their teaching. Even with existing software such as GSP, and Mathematica, it turns out that it doesn####t fit well in a large number of students in classrooms and with all written in English. The study is to analyze the characteristics of problem-solving process and to develop a computer program which integrates the instruction of problem solving into a regular math program in areas of quadratic functions and ellipses. Problem Solving in this study included two sessions: 1) Learning of basic facts, concepts, and principles; 2) problem solving with problem contexts. In the former, the program was constructed based on the definitions of concepts so that students can explore, conjecture, and discover such mathematical ideas as basic facts, concepts, and principles. In the latter, the Polya#s 4 phases of problem-solving process contributed to designing of the program. In understanding of a problem, the program enhanced students#### understanding with multiple, dynamic representations of the problem using visualization. The strategies used in making a plan were collecting data, using pictures, inductive, and deductive reasoning, and creative reasoning to develop abstract thinking. In carrying out the plan, students can solve the problem according to their strategies they planned in the previous phase. In looking back, the program is very useful to provide students an opportunity to reflect problem-solving process, generalize their solution and create a new in-depth problem. This program was well matched with the dynamic and oscillation Polya#s problem-solving process. Moreover, students can facilitate their motivation to solve a problem with dynamic, multiple representations of the problem and become a powerful problem solve with confidence within an interactive computer environment. As a follow-up study, it is recommended to research the effect of the program in classrooms.

• East Asian mathematical journal
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• 제30권2호
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• pp.149-172
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• 2014

The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.

• Journal of Electrical Engineering and Technology
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• 제12권2호
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• pp.559-568
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• 2017

Harmonic/inter-harmonic detection and analysis is an important issue in power system signal processing. This paper proposes a fast algorithm based on matching pursuit (MP) sparse signal decomposition, which can be employed to extract the harmonic or inter-harmonic components of a distorted electric voltage/current signal. In the MP iterations, the method extracts harmonic/inter-harmonic components in order according to the spectrum peak. The Fast Fourier Transform (FFT) and nonlinear optimization techniques are used in the decomposition to realize fast and accurate estimation of the parameters. First, the frequency estimation value corresponding to the maxim spectrum peak in the present residual is obtained, and the phase corresponding to this frequency is searched in discrete sinusoids dictionary. Then the frequency and phase estimations are taken as initial values of the unknown parameters for Nelder-Mead to acquire the optimized parameters. Finally, the duration time of the disturbance is determined by comparing the inner products, and the amplitude is achieved according to the matching expression of the harmonic or inter-harmonic. Simulations and actual signal tests are performed to illustrate the effectiveness and feasibility of the proposed method.

• 한국수학사학회지
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• 제27권3호
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• pp.197-210
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• 2014

Species like insects and fishes have, in many cases, non-overlapping time intervals of one generation and their descendant one. So the population dynamics of such species can be formulated as discrete models. In this paper various discrete population models are introduced in chronological order. The author's investigation starts with the Malthusian model suggested in 1798, and continues through Verhulst model(the discrete logistic model), Ricker model, the Beverton-Holt stock-recruitment model, Shep-herd model, Hassell model and Sigmoid type Beverton-Holt model. We discuss the mathematical and practical significance of each model and analyze its properties. Also the stability properties of stationary solutions of the models are studied analytically and illustratively using GSP, a computer software. The visual outputs generated by GSP are compared with the analytical stability results.