• Title/Summary/Keyword: orthocenter

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A Study on metric properties of triangle's excenter (삼각형 방심의 계량적 성질에 대한 연구)

  • Han, In-Ki;Oh, Sung-Joo
    • Communications of Mathematical Education
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    • v.23 no.4
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    • pp.1059-1078
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    • 2009
  • In this paper we study metric equalities related with distance between excenter and other points of triangle. Especially we find metric equalities between excenter and incenter, circumcenter, center of mass, orthocenter, vertex, prove these formulas, and transform these formulas into new formula containing another elements of triangle. We in detail describe proof process of these equalities, indicate references of some formulas that don't exist within secondary school curriculum.

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Selection of features and hidden Markov model parameters for English word recognition from Leap Motion air-writing trajectories

  • Deval Verma;Himanshu Agarwal;Amrish Kumar Aggarwal
    • ETRI Journal
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    • v.46 no.2
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    • pp.250-262
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    • 2024
  • Air-writing recognition is relevant in areas such as natural human-computer interaction, augmented reality, and virtual reality. A trajectory is the most natural way to represent air writing. We analyze the recognition accuracy of words written in air considering five features, namely, writing direction, curvature, trajectory, orthocenter, and ellipsoid, as well as different parameters of a hidden Markov model classifier. Experiments were performed on two representative datasets, whose sample trajectories were collected using a Leap Motion Controller from a fingertip performing air writing. Dataset D1 contains 840 English words from 21 classes, and dataset D2 contains 1600 English words from 40 classes. A genetic algorithm was combined with a hidden Markov model classifier to obtain the best subset of features. Combination ftrajectory, orthocenter, writing direction, curvatureg provided the best feature set, achieving recognition accuracies on datasets D1 and D2 of 98.81% and 83.58%, respectively.

3D Modelling Shape Embodiment and Efficiency Analysis of Reservoir that using RTK-GPS and E/S (RTK-GPS와 E/S를 이용한 저수지의 3D 모델링 형상 구현과 효율성 분석)

  • Lee, Jae-One;Park, Un-Yong;Yang, Young-Bo;Kim, Yong-Suk
    • Journal of Korean Society for Geospatial Information Science
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    • v.13 no.1 s.31
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    • pp.11-17
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    • 2005
  • A lot of small-scale reservoirs that is extravagant in whole country are controlled state or real condition that correct data about the practice contents is not equipped all up to now. In this study, YungNam districts that region Gyeong-Ju city reservoir is distributed much of when flow speedily choose 23 peace among 73 small scale reservoir and experimented. Acquired data every 5 seconds, and user E/S and user value TS for orthocenter to 1 second interval and executes present condition measurement using RTK-GPS. Could was wave and state that reservoir of 15 places (about 65%) gives protective care that do 3D modelling with acquired data, and now correct contents about reservoir state past through comparative analysis with data. Also, area of full water and wave that analyze effective storage and area of full water of 23 places reservoir could know that 20.63%, effective storage decreased as 3.34%. I wish to contribute about analysis about present reservoir state through this and method the adminstration direction.

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The Study of Seabed Organic Sediment Dredging Equipment Development Used the Pressure Difference (수두차를 이용한 해저 유기퇴적물 준설장비 개발에 관한 기초연구)

  • SON CHOONG-YUL;JEONG UH-CHEUL;EEO JOON;CHOI JAE-KWON;LEE JUNG-TAK
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.11a
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    • pp.57-61
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    • 2004
  • According to the research result of existing regarding the seabed organic sediment, contamination it flows from the land and the sea become the enemy in the coastal water. It was caused with the summer season water temperature rise and dispersing recall respect advancement. Phosphorus which is a main reason of red tide actual condition came to reveal vast quantity with the facts that it gushes. Specially, in the case of the coastal closing waters and the nursery, as the corpse and the fresh fish washing veterinarian was imbrued, it is the actual condition where is more deepened. Consequently the development of shallow layer dredging method of that suction power which is stabilized is demanded to be able to dredge only the sediment layer which has not become the pressure and is a main reason of being imbrued. The dredging methods using the pressure difference minimize the suction of the seabed sediment. This method is stable that suction power which occurs from guard difference of the guard and the guard of the dredging system inland water. That's why it is possible to sort dredging of the organic sediment ranging in upper layer sediment and it will be able to expect the minimization of dredging quantity. Increase of the expense that it followsin orthocenter with the fact will not grow. Because the pressure difference of the dredger inland water is occurred by the suction power. Maintenance administrative costs are reduced, because the one of smallest dredging system maneuvers and the barge which affixes an integrated operation system is mainly in a resting. To reduce a dredging hour, it will be able to solve in the condensed water as operating the jar guard post.

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3D Modelling Shape Embodiment and Efficiency Analysis of Reservoir (저수지의 3D 모델링 형상 구현과 효율성 분석)

  • Song, Youn-Kyung;Hong, Soon-Hyun;Hong, Jung-Soo
    • Journal of the Korean Geophysical Society
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    • v.9 no.2
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    • pp.113-120
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    • 2006
  • A lot of small-scale reservoirs that is extravagant in whole country are controlled state or real conditionthat correct data about the practice contents is not equipped all up to now. In this study, YungNam districts that region Gyeong-Ju city reservoir is distributed much of when flow speedily choose 23 peace among 73 small scale reservoir and experimented. Acquired data every 5 seconds, and user E/S and user value TS for orthocenter to 1 second interval and executes present ondition measurement using RTK-GPS. Could was wave and state that reservoir of 15 places (about 65%) gives protective care that do 3D modelling with acquired data, and now correct contents about reservoir state past through comparative analysis with data. Also, area of full water and wave that analyze effective storage and area of full water of 23 places reservoir could know that 20.63%, effective storage decreased as 3.34%. I wish to contribute about analysis about present reservoir state through this and method the adminstration direction.

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