• Title/Summary/Keyword: 삼각인대

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삼각함수 학습지도에서 테크놀로지의 활용

  • Choe, Jong-Sul;Kim, Hyang-Suk;Kim, Bu-Yun
    • Communications of Mathematical Education
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    • v.16
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    • pp.123-137
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    • 2003
  • 본 논문의 목적은 삼각함수의 학습에 테크놀로지가 기여할 수 있는 방법적인 측면과 인지적인 효과를 명시하는 것이다. 테크놀로지가 삼각함수의 학습에 기여할 수 있는 네 가지 방법론적인 면을 '수학과 학생들의 실제 경험의 연결', '수학적 대상과 수학적 관계의 구체화', '수학의 다양한 표현 체계의 연결', '사고력 중심의 수학교육 추구'의 관점에서 논한다. 이 네 가지 방법론적인 측면 중 '수학적 대상과 수학적관계의 구체화'와 '수학의 다양한 표현 체계의 연결'을 중심으로 삼각함수의 학습법을 예시하면서 이 두 가지 방법이 어떻게 인지적으로 기여하는지를 보여준다.

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New Approach on Modified Triangular Interferometer (삼각 간섭계를 이용한 shearography)

  • Kim, Soo-Gil;Ko, Myung-Sook
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2004.05a
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    • pp.214-216
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    • 2004
  • 3차원 홀로그램의 생성에 이용되었던 변형 삼각간섭계를 이용한 비접촉진단 방법에 대하여 논하고자 한다. 변형 삼각간섭계를 이용한 비접촉진단은 측정대상물체의 간섭패턴을 구하고 이로부터 위상지도와 변형량을 계산함으로써 이루어질 수 있다. 본 논문에서는 변형 삼각간섭계를 이용한 간섭패턴 생성과 관련한 몇 가지 실험결과를 제시한다.

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New Approach on Modified Triangular Interferometer (변형 삼각간섭계에 대한 새로운 접근방법)

  • 김수길
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2003.11a
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    • pp.265-267
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    • 2003
  • 3차원 영상정보처리에 이용되는 변형 삼각간섭계는 인코히어런트 광을 이용한 3차원 영상정보의 기록과 복원에 이용되고 있다. 최근에는 3차원 영상의 기록과 재생이외의 분야, 예를 들면 3차원 물체의 결함검출 및 현미경분야에 대한 활용 연구도 진행되고 있다. 본 연구에서는 이러한 분야에 응용이 되고 있는 변형 삼각간섭계의 시스템개선과 시스템에 대한 전달함수와 PSF(point-spread function)의 일반화를 시도하였으며, 변형 삼각간섭계에 대한 복소홀로그램 생성과 수치적 복원영상결과도 제시하였다.

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Comparison of Trigonometry in Mathematics Textbooks in Korea, Australia, and Finland (한국, 호주, 핀란드의 수학 교과서에서 삼각법 영역 비교)

  • Choi, Eun;Kwon, Oh Nam
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.393-419
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    • 2020
  • Trigonometry allows us to recognize the usefulness of mathematics through connection with real life and other disciplines, and lays the foundation for the concept of higher mathematics through connection with trigonometric functions. Since international comparisons on the trigonometry area of textbooks can give implications to trigonometry teaching and learning in Korea, this study attempted to compare trigonometry in textbooks in Korea, Australia and Finland. In this study, through the horizontal and vertical analysis presented by Charalambous et al.(2010), the objectives of the curriculum, content system, achievement standards, learning timing of trigonometry content, learning paths, and context of problems were analyzed. The order of learning in which the three countries expanded size of angle was similar, and there was a difference in the introduction of trigonometric functions and the continuity of grades dealing with trigonometry. In the learning path of textbooks on the definition method of trigonometric ratios, the unit circle method was developed from the triangle method to the trigonometric function. However, in Korea, after the explanation using the quadrant in middle school, the general angle and trigonometric functions were studied without expanding the angle. As a result of analyzing the context of the problem, the proportion of problems without context was the highest in all three countries, and the rate of camouflage context problem was twice as high in Korea as in Australia or Finland. Through this, the author suggest to include the unit circle method in the learning path in Korea, to present a problem that can emphasize the real-life context, to utilize technological tools, and to reconsider the ways and areas of the curriculum that deal with trigonometry.

Analysis of Conformability for Cadastral Control Network Using GPS Satellite Surveying (GPS에 의한 지적삼각망의 정합성 분석)

  • Kang, Joon-Mook;Yoon, Hee-Cheon;Kim, Hong-Jin
    • Journal of Korean Society for Geospatial Information Science
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    • v.2 no.1 s.3
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    • pp.121-129
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    • 1994
  • A number of existing cadastral control stations have been destroyed and shifted by a long lapse of time and careless management. Also, results of them are partly poor owing to dependence on conventional survey method. Because of these, it is very difficult in use of results. Hereupon, correction of cadastral results is necessary in level of government. But it is very consumable to check and adjust results with existing equipments and related techniques only. It is required that this problem can be resolved efficiently. This study analyzed the conformability for cadastral control network to GPS, GPS, which determine precise 3-D coordinates on a short time, to positioning of cadastral stations. We chose DaeJon city for the test area of this study and analyzed the precision of network composed of sixteen cadastral control stations. We made comparision the old result and the new outcome which obtained from coordinate transformation method and horizontal network adjustment method. As a result of this, we detected the blunder of cadastral stations. Furthermore, we suggested effective network type according to precision analysis of GPS observation network. Therefore, there is no doubt that GPS surveying can be applied to checking and adjustment of cadastral control network. Hereafter, it is expected that the practical use of GPS is advanced in a field of cadastration.

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Accuracy Analysis on result of the station of triangulation to secure stable cadastral surveying result -Focusing on Changwon-si, Gyeongsangnam-do- (안정적인 지적측량 성과 확보를 위한 삼각점 성과의 정확도 분석 -경상남도 창원시를 중심으로-)

  • Leem, Hyun-Seok;Hong, Sung-Eon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.8
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    • pp.3478-3485
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    • 2011
  • This study utilized the GPS data of the stations of triangulation of Changwon-si, Gyeongsangnam-do to conduct comprehensive analysis on tolerance level and regional characteristics. Based on this analysis, it was attempted to seek the method to derive more accurate result when further performing cadastral control point surveying for cadastral detail surveying. For the stations of triangulation installed at time of the land survey project, the study result showed that the most results of the stations of triangulation are stable if they were not moved naturally or artificially by themselves. Therefore, it was concluded that the stations of triangulation installed at the time of the land survey project should be preemptively selected for use of the given points when making decision of result of cadastral control point surveying. In addition, if the result of the cadastral control point surveying is made decision based on the stations of triangulation presented as the stable result in this study result, it seems that the same surveying result will be maintained and managed at all time, even if they are going to be further reinstalled due to loss of them.

3D Mesh Creation using 2D Delaunay Triangulation of 3D Point Clouds (2차원 딜로니 삼각화를 이용한 3차원 메시 생성)

  • Choi, Ji-Hoon;Yoon, Jong-Hyun;Park, Jong-Seung
    • Journal of the Korea Computer Graphics Society
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    • v.13 no.4
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    • pp.21-27
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    • 2007
  • The 3D Delaunay triangulation is the most widely used method for the mesh creation via the triangulation of a 3D point cloud. However, the method involves a heavy computational cost and, hence, in many interactive applications, it is not appropriate for surface triangulation. In this paper, we propose an efficient triangulation method to create a surface mesh from a 3D point cloud. We divide a set of object points into multiple subsets and apply the 2D Delaunay triangulation to each subset. A given 3D point cloud is cut into slices with respect to the OBB(Oriented Bounding Box) of the point set. The 2D Delaunay triangulation is applied to each subset producing a partial triangulation. The sum of the partial triangulations constitutes the global mesh. As a postprocessing process, we eliminate false edges introduced in the split steps of the triangulation and improve the results. The proposed method can be effectively applied to various image-based modeling applications.

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A Study on Triangulated Irregular Network Generation Method for GSIS (지형공간정보체계의 이용을 위한 불규칙삼각망 생성기법에 관한 연구)

  • 유복모;장지원;윤정학
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.12 no.2
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    • pp.209-218
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    • 1994
  • This study aims to generate triangulated irregular network in a form of digital terrain model which is being increasingly used. In general, grid digital elevation model and triangulated irregular network are reasonable units for solving terrain problems. But, triangulated irregular network is an efficient alternative to grid digital elevation model because of their efficiency in storing data and their convenient data structure for accommodating irregularly spaced elevation data. Various methods represented for extracting triangulated irregular networks from grid digital elevation model, and then algorithm that get accurate results for triangulation with their data set was introduced. The new approach for triangulation in this study uses the Elevation and Changeable Distance criterion, and adding interpolation points and restricted constraint lines can generate triangulated irregular network which is more close to real surface. This made database efficient construction and could be used for many applications of geo-spatial information system.

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A Dual Triangular Pyramidal Indentation Technique Based on FEA Solutions for Material Property Evaluation (유한요소해에 기초한 이중 삼각뿔 압입 물성평가법)

  • Kim, Min-Soo;Hyun, Hong-Chul;Lee, Jin-Haeng;Lee, Hyung-Yil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.1
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    • pp.17-28
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    • 2012
  • In this study, we suggest a method for material property evaluation by dual-triangular pyramidal indenters using the reverse analysis. First, we demonstrated that load-displacement curves of conical and triangular pyramidal indenters are different for the same material. For this reason, an independent research on the triangular pyramidal indenter is needed. From FE indentation analyses on various materials, we then investigated the relationships among material properties, indentation parameters and load-displacement curves. From this, we established property evaluation formula using dual-triangular pyramidal indenters having two different half-included-angles. The approach provides the values of elastic modulus, yield strength and strain-hardening exponent within an average error of 3% for various materials.

들로네 삼각분할 기법을 이용한 수심편수 결과 평가방안 연구

  • Gang, Dong-U;O, Se-Ung;Sim, U-Seong
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2014.06a
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    • pp.89-91
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    • 2014
  • 전자해도는 IHO의 S-57 ENC Product Specification에 따라 해양의 모든 지형정보를 포함하는데, 해양의 지형정보에는 해안선, 등심선, 수심 그리고 항로표지 등이 포함된다. 전자해도가 포함하는 정보는 수로측량을 통해 제작된 측량원도를 이용하여 제작하는데, 대용량의 측량원도 자료는 매우 조밀하고 양이 방대하여 전자해도에 반영하기 위해서는 수심 정보를 발췌하여야 한다. 국립해양조사원에서는 측량원도의 정보를 발췌하기 위한 방안으로 수심편수규칙을 정하고 있으며, 편수 단계와 편수 후 검증 단계를 거쳐 전자해도의 수심 정보를 제작하고 있다. 그러나 편수와 편수 후 검증은 모두 수작업으로 진행하고 있어, 보다 효율적이고 정확한 방법으로 수심 편수 결과를 검증하기 위한 방안이 필요하다. 본 논문에서는 수심 편수 결과를 규칙에 맞도록 편수되었는지를 평가하는 방안을 연구하였다. 각 편수된 수심을 들로네 삼각분할 기법에 따라 영역을 삼각분할하고, 측량원도의 수심 정보와 삼각분할 된 삼각형과 비교 분석하여 수심이 수심편수규칙을 준수하는지를 비교분석하였다.

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