• Title/Summary/Keyword: Trigonometry

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3-D Position Analysis of an Object using a Monocular USB port Camera through JAVA (한 대의 USB port 카메라와 자바를 이용한 3차원 정보 추출)

  • 지창호;이동엽;이만형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.606-609
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    • 2001
  • This paper's purpose is to obtain 3-Dimension information by using a monocular camera. This system embodies to obtain the height of object by using trigonometry method between a reference point of circumstance and an object. It is possible to build up system regardless of operating system, and then set it up. An comfortable USB port camera is used everywhere without the capture board. The internet can be used by using the applet and JMF everywhere. We regard the camera as a fixed. And we have developed a Real-Time JPEG/RTP Network Camera system using UDP/IP on Ethernet.

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The Effects of Graphics Representation of Trigonometry Modelling on Question Generating and Idea Sharing (삼각함수의 모델링에서 그래픽 과정이 학생들의 질문 생성과 수학적 아이디어 교환에 미치는 효과)

  • Yoon, Jae yeon;Shin, Hyun sung
    • Journal of the Korean School Mathematics Society
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    • v.24 no.2
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    • pp.217-241
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    • 2021
  • The purpose of this study is to qualitatively examine the effects of graphics representation of trigonometry modelling concerning question generating and idea sharing. The experimental setting(Experiment Group) was one class (N=26) at a public high school. The modelling process was designed as a process-oriented conceptualization divided into three steps i.e., (1) game with idea sharing and question generating, (2) graphic representation, and (3) symbolization in the mathematical applied tasks related to trigonometry function. The result indicates that Graphic Representation with Game Activity increases the opportunity of question generating and idea sharing during experimental work. Also, the results show that the introduction of computer graphics enhances the teaching of mathematical quantity in highschool classrooms.

Analysis of the Waistline and the Back Waist Point of Slacks Pattern for Optimizing the Range of Motion (동작적합성을 위한 슬랙스 패턴의 허리선 및 허리뒤점 설계에 관한 연구)

  • Kwon, Sook-Hee;Hong, Ji-Un
    • Journal of the Korean Home Economics Association
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    • v.47 no.4
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    • pp.61-72
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    • 2009
  • The purpose of this research is to suggest a new way to approach measuring the waist line of slacks. The pattern formulated enables a construction method that optimizes motion. The method is based on the measurement on the length change of the body surface line. The research reveals: 1. The analysis of expansion and contraction by area showed that G8 markedly shrunk, whilst G15 maximally stretched during M4 motion. 2. The areas that stretched during M2 motion were, in order of size: G10, G17, G16, and G8. Conversely, the areas that shrunk are, in order, G9, G11, and G18. The areas that stretched during M3 motion were G10, G17, G16, G12, and G15; the areas that shrunk were G9, G11, G18, and G8. 3. In constructing the slacks pattern to allow for appropriate movement, we calculated the length between the knee and back of the waist, point (y), using Pythagoras’theorem and trigonometry. The equation was y = 1.005x. 4. In the two pattern N method and L method, y is equal or less than x, but for our research pattern, y was larger than x

A Simple Geometric Approach to Evaluating a Bivariate Normal Orthant Probability

  • Lee, Kee-Won;Kim, Yoon-Tae;Kim, U-Jung
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.595-600
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    • 1999
  • We present a simple geometric approach which uses polar transformation and elementary trigonometry to evaluating an orthant probability in a bivariate normal distribution. Figures are provided to illustrate the situation for varying correlation coefficient. We derive the distribution of the sample correlation coefficient from a bivariate normal distribution when the sample size is 2 as an application.

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A Study of Computer Simulation of Back-and-Forth Patrol

  • Hur, Seong-Pil
    • Journal of the military operations research society of Korea
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    • v.14 no.1
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    • pp.53-62
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    • 1988
  • A patroller is to protect a patrol area with a certain length front D by proceeding at constant speed on courses parallel to the patrol front, traveling back and forth between area boundaries and reversing course at each area boundary. Transitors enter the area uniformly distributed across the patrol front on a course perpendicular to the patrol front. Any transitor that closes the patroller to within his sweep radius R is detected. This paper use plane trigonometry to derive the theoretical probailities of detection and develop a Monte Carlo computer simulation Model.

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A Study of Computer Simulation of Back-and-Forth Patrol

  • Hur, Seong-Pil
    • Journal of the military operations research society of Korea
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    • v.13 no.2
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    • pp.53-62
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    • 1987
  • A patroller is to protect a patrol area with a certain length front D by proceeding at constant speed on courses parallel to the patrol front, traveling back and forth between area boundaries and reversing course at each area boundary. Transitors enter the area uniformly distributed across the patrol front on a course perpendicular to the patrol front. Any transitor that closes the patroller to within his sweep radius R is detected. This paper use plane trigonometry to derive the theoretical probailities of detection and develop a Monte Carlo computer simulation Model.

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A Critical Study on the Teaching-Learning Approach of the SMSG Focusing on the Area Concept (넓이 개념의 SMSG 교수-학습 방식에 대한 비판적 고찰)

  • Park, Sun-Yong;Choi, Ji-Sun;Park, Kyo-Sik
    • School Mathematics
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    • v.10 no.1
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    • pp.123-138
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    • 2008
  • The objective of this paper is to reveal the cause of failure of New Math in the field of the SMSG area education from the didactical point of view. At first, we analyzed Euclid's (Elements), De Morgan's (Elements of arithmetic), and Legendre's (Elements of geometry and trigonometry) in order to identify characteristics of the area conception in the SMSG. And by analyzing the controversy between Wittenberg(1963) and Moise(1963), we found that the elementariness and the mental object of the area concept are the key of the success of SMSG's approach. As a result, we conclude that SMSG's approach became separated from the mathematical contents of the similarity concept, the idea of same-area, incommensurability and so on. In this account, we disclosed that New Math gave rise to the lack of elementariness and geometrical mental object, which was the fundamental cause of failure of New Math.

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A study on didactic transposition of mathematics textbooks and lessons in Korea and the U.S. (한국과 미국의 수학 교과서와 수업에 나타난 교수학적 변환에 대한 연구)

  • Park, Kyungmee
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.459-478
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    • 2013
  • Didactic transposition refers to an adaptive treatment of mathematical knowledge into knowledge to be taught. This study intends to investigate how mathematical knowledge was modified in mathematics textbooks and lessons. This study identified examples of didactic transposition in mathematics textbooks and lessons in Korea and those in the U.S., The examples identified were FOIL method, trigonometry using s, c, t in writing style, order of operations(PEMDAS), area of a circle and circumference, order of prefixes in the metric system, trigonometry(SOH, CAH, TOA), operations on integer, and regular polyhedra. These examples were classified into the two categories, one for mnemonics, and one for concreteness and intuitiveness. Then a survey was conducted for in-service teachers in Korea and those in the U.S. to evaluate the appropriateness and the necessity of didactic transposition. Lastly, the potential didactic phenomena, meta-cognitive shift which may occur with these examples were discussed.

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A Didactical Analysis on Circular Measure (호도법에 관한 교수학적 고찰)

  • Kang, Mee-Kwang
    • The Mathematical Education
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    • v.50 no.3
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    • pp.355-365
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    • 2011
  • The purpose of this study is to provide mathematical knowledge for supporting the didactical knowledge on circular measure and radian in the high school curriculum. We show that circular measure related to arcs can be mathematically justified as an angular measure and radian is a well defined concept to be able to reconcile the values of trigonometric functions and ones of circular functions, which are real variable functions. Radian has two-fold intrinsic attributes of angular measure and arc measure on the unit circle, in particular, the latter property plays a very important role in simplifying the trigonometric derivatives. To improve students's low academic achievement in trigonometry section, the useful advantage and the background over the introduction of radian should be preferentially taught and recognized to students. We suggest some teaching plans to practice in the class of elementary and middle school for enhancing teachers' and students' understanding of radian.

Detection of AGV's position and orientation using laser slit beam (회전 Laser 슬릿 빔을 이용한 AGV의 위치 및 자세의 검출)

  • 박건국;김선호;박경택;안중환
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2000.11a
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    • pp.219-225
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    • 2000
  • The major movement block of the containers have range between apron and designation points on yard in container terminal. The yard tractor operated by human takes charge of its movement in conventional container terminal. In automated container terminal, AGV(Automated Guided Vehicle) has charge of the yard tractor's role and the navigation path is ordered from upper level control system. The automated container terminal facilities must have the docking system to guide landing line to have high speed travelling and precision positioning. The general method for docking system uses the vision system with CCD camera, infra red, and laser. This paper describes the detection of AGV's position and orientation using laser slit beam to develop docking system.

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