• 한국수학교육학회지시리즈E:수학교육논문집
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• 제21권3호
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• pp.515-525
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• 2007

본 연구는 수학적 대상인 각을 대수적인 방법인 벡터를 이용하여 탐구하는 문헌연구로, 각의 이등분선의 작도 방법, 각의 삼등분선의 종이접기 방법을 분석하고, 이를 바탕으로 중등학교에서 다루는 벡터의 기본 개념들을 이용하여 각의 이등분선 및 삼등분선을 방정식의 형태로 표현하였다. 본 연구로 얻어진 결과는 중등학교 수학에 관련된 교과내용지식의 영역을 넓힐 수 있으며, 벡터를 활용한 문제해결에 관련된 흥미로운 심화학습 자료가 될 것으로 기대된다.

• 한국항공우주학회지
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• 제37권12호
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• pp.1165-1172
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• 2009

두 개의 평판이 직각으로 만나는 corner에서 형성되는 층류 경계층을 입자영상유속계 기법을 이용하여 측정하였다. 자유류 유속은 2.96 ~ 3.0 m/s, 층류 경계층이 형성 될 수 있도록 모델에 대한 유동의 입사각을 1.2도로 하여 작은 순 압력구배를 제공하였다. 모델의 앞전은 둥근 형상으로 처리하였으며 모델의 길이는 약 1000mm이다. 측정 결과는 이등분면에서 corner 경계층의 전형적인 특징인 변곡점을 가지는 박리형 속도 분포를 보여주었다. 이등분면에서 멀어져 감에 따라 속도 분포는 평판의 Blasius 분포로 변해가고, 이등분면 경계층 두께의 약 절반만큼 평판을 따라 멀어지면 변화가 완료된다. 앞전에서부터 하류로 감에 따라 이등분면에서의 경계층 성장 및 속도 분포의 유사 상사성을 측정 결과로부터 확인하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제41권2호
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• pp.215-225
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• 2002

In this paper we consider some properties of. bisector of interior angle(theorem 1) and exterior angle(theorem 2) in triangle by using analogy. As a result of analyzing various mathematics textbooks we have known that they focused not on relation between two theorems, but on describing two theorems. We have seen that theorem 2 is able to be inferred from theorem 1 by using analogy. After proving theorem 1 by some methods we analyze proof process, extract proof ideas, and analogize some ideas for proving theorem 2. From this we are able to find relationships between theorem 1 and 2.

• 한국수학교육학회:학술대회논문집
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• 한국수학교육학회 2010년도 제44회 전국수학교육연구대회
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• pp.151-163
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• 2010

This study is to provide improved teaching methods on classical geometric construction education by a straightedge and compass in school mathematics. In this paper, justifications of construction methods of Korean textbooks, for perpendicular bisector of an segment and angle bisector are discussed, which can be directly applicable to teaching geometric construction meaningfully. Based on these considerations, several implications for desirable teaching methods concerning geometric construction were suggested.

• East Asian mathematical journal
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• 제26권2호
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• pp.151-164
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• 2010

This study is to provide improved teaching methods on classical geometric construction education by a straightedge and compass in school mathematics. In this paper, justifications of construction methods of Korean textbooks, for perpendicular bisector of an segment and angle bisector are discussed, which can be directly applicable to teaching geometric construction meaningfully. Based on these considerations, several implications for desirable teaching methods concerning geometric construction were suggested.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1997년도 춘계학술대회 논문집
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• pp.405-409
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• 1997

Voronoi diagrams are applied in varios field such as NC toolpath generation, VLSI design and robot path planning because of their geometric charcteristics. In this paper, Voronoi diagrams are introduced on polygon constructed by line segments only and with constant offset. Bisector curves for two arbitrary objects, which is the combination of line segment and arc, are defined as parametric fuction where the parameter is used as offset. Offset curves are applied on the generation of laser scanning path for the stereolithography and shows a good result from several examples.

• 전기전자학회논문지
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• 제11권4호
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• pp.297-306
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• 2007

A sensor network is composed of a large number of sensor nodes that are densely deployed in a field. Each sensor performs a sensing task for detection specific events. After detecting this event, location information of the sensor node is very important. Range-based scheme of the proposed approaches typically achieve high accuracy on either node-to-node distances or angles, but this scheme have a drawback because all sensor nodes have the special hardware. On the other hand, range-free scheme provides economic advantage because of no needed hardware even if that leads to coarse positioning accuracy. In this paper, we propose a range-free localization algorithm without range information in wireless sensor networks. This is a range-free approach and uses a small number of anchor nodes and known sensor nodes. This paper develops a localization mechanism using the geometry conjecture (perpendicular bisector of a chord). The conjecture states that a perpendicular bisector of a chord passes through the center of the circle.

• East Asian mathematical journal
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• 제26권2호
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• pp.141-150
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• 2010

In this study, we study on the length of bisector of angle by the method using the area, the method using the vector and the method using the similarity, also the length of trisector of angle by the method using the sine law, the method using the area and the method using the second law of cosine in triangle, respectively. And we study on the length of trisector of angle with the length of bisector in angle. This study is expected to use the learning materials for the interesting construction and the problem solving using trigonometric functions.

• 천문학회지
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• 제31권2호
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• pp.77-87
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• 1998

The accumulated knowledge of the influence of solar granulation on spectral lines, i.e. their asymmetry, provides a key to analyze stellar spectral line asymmetries. In this paper, a simple line synthesis using a simple 'model' of granulation was calculated. By adjusting the properties of the granule model, the observed imprints of convection on spectral lines can be reproduced. Since we depict convective flows using a continuous function rather than using a few components of flows (cf. Gray and Toner 1985, 1986; dravins 1990), we were able to identify which components of convection are important in line bisector shapes. The results of this study can be summarized as follows: Firstly, the intensity contrast (i.e. temperature fluctuation), and the area coverage of up- and down-flows are the two important factors which determine the line bisector shapes. Secondly, on the contrary to the assumption of other studies, the effect of horizontal flows is non-negligible. This exercise provides a qualitative understanding of the effect of convection on spectral lines. This knowledge serves as a guideline for understanding the characteristic difference in convection for stars on either side of the 'Granulation Boundary' (Gray 1982; Gray and Nagel 1989).

• 대한수학회보
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• 제60권1호
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• pp.225-235
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• 2023

We show that metric bisectors with respect to the Korányi metric in the Heisenberg group are spinal spheres and vice versa. We also calculate explicitly their horizontal mean curvature.