• Title/Summary/Keyword: triangle

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A Study on the Connecting Paper Folding Activities of Triangle with Mathematical Proof (삼각형의 접기 활동과 논증의 연계 가능성에 관한 연구)

  • 한인기;신현용
    • The Mathematical Education
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    • v.41 no.1
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    • pp.79-90
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    • 2002
  • In this article we study on connecting paper 131ding activities of triangle with mathematical proof Folding median, bisector of angle, and hight of paper triangle, we from and extract some ideas that help us to proof some important theorems of plane geometry. In this study using formed ideas in the process of paper folding activities, we suggest some interesting new mathematical proofs of the following theorems: 1. three medians of triangle are intersect in a point; 2. three bisectors of interior angles of triangle are intersect in a point; 3. three heights of triangle are intersect in a point.

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Simulation of Plate Deformation due to Triangle Heating Using Inherent Strain Method (고유변형도법을 이용한 삼각가열에 의한 판 변형의 시뮬레이션)

  • Jang, Chang-Doo;Ko, Dae-Eun;Ha, Yun-Sok
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.6
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    • pp.703-709
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    • 2008
  • In the shipyard, line heating and triangle heating are two major processes for forming curved plates in various shapes. While there have been many studies on line heating, triangle heating has been rarely studied due to its complicated heating process with irregular multi-heating paths and highly concentrated heat input. As the triangle heating process is one of the most labor-consuming jobs in shipyards, it is essential to study the automation as well as improvement of triangle heating process in order to increase hull forming productivity. In this study, a pioneering attempt to simulate triangle heating was made. A circular disk-spring model was proposed for elasto-plastic analysis procedure of triangle heating and the inherent strain method was also used to analyze the deformation of plates. Simulation results were compared with those of experiments and showed good agreement. It is shown that the present approach including analysis model used in this study is effective to simulate the triangle heating for plate forming process in shipbuilding.

정책 - 제2차('17~'21년) 원자력안전종합계획

  • 한국원자력산업회의
    • Nuclear industry
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    • v.36 no.12
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    • pp.2-10
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    • 2016
  • 원자력안전위원회는 12월 8일 제62회 원자력안전위원회를 개최하고, '제2차('17~'21년) 원자력안전종합계획안'에 대한 심의를 거쳐 동 계획을 확정하였다. 제2차 종합계획은 '국민이 공감하는 원자력 안전, 방사선 위험으로부터 안전한 사회'를 비전으로 원자력, 방사선 및 핵안보 등 분야별 안전 강화를 위한 7대 전략 21개 중점 추진 과제를 포함하고 있다. 주요 내용은 ${\triangle}$정상 운전부터 중대사고까지 원전의 안전 관리 강화, ${\triangle}$정보 공개 소통을 통한 투명성 제고, ${\triangle}$해체 사용후핵연료 등 원자력산업의 후행주기 안전 관리 체계 구축, ${\triangle}$지진 등 재난대비 및 방사능 비상 대응 체계의 실효성 제고, ${\triangle}$핵안보 핵비확산체제의 국제사회 선도, ${\triangle}$환경 변화에 대응한 선제적 방사선 안전 관리, ${\triangle}$R&D, 인력 양성, 국제 협력 인프라 확충 등이다. 원자력안전종합계획은 "원자력안전법"에 근거하여 5년 단위로 수립되는 원자력 및 방사선 안전 관련 최상위 국가 계획이다.

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Heat Transfer Characteristics by the Right Angled Triangle Rod Array in Impinging Air Jet System (충돌공기제트시스템에서 직삼각형로드에 의한 열전달특성)

  • Kum, Sung-Min
    • Journal of ILASS-Korea
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    • v.13 no.1
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    • pp.9-15
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    • 2008
  • This experimental study was carried out to examine the heat transfer characteristics of impinging air jet on a flat plate with a set of right angled triangle rods. Each right angled triangle rod in the array was positioned normal to the flow direction and parallel to the flat plate surface. The clearances from a right angled triangle rod to flat plate surface (C=1, 2 and 4 mm) and the distance from nozzle exit to flat plate (H=100 and 500 mm) were changed for the pitch between each right angled triangle rods (P=40 mm). As a result, heat transfer shows best performance at the clearance of C=1 mm, in case clearance changed, and the average heat transfer enhancement rate increased up to 47% compared to the result of a flat plate without a right angled triangle rod.

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Algebraic completeness results for sKD and its Extensions

  • Yang, Eun-Suk
    • Korean Journal of Logic
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    • v.9 no.1
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    • pp.1-29
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    • 2006
  • This paper investigates algebraic semantics for sKD and its extensions $sKD_\triangle$, $sKD\forall$, and $sKD\forall{_\triangle}$: sKD is a variant of the infinite -valued Kleene- Diense logic KD; $sKD_\triangle$ is the sKD with the Baaz's projection A; and $sKD\forall$ and $sKD\forall{_\triangle}$: are the first order extensions of sKD and $sKD_\triangle$, respectively. I first provide algebraic completeness for each of sKD and $sKD_\triangle$. Next I show that each $sKD\forall$ and $sKD\forall{_\triangle}$: is algebraically complete.

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Children's sense-making of triangle congruence conditions (초등학교 아동들의 삼각형 의 합동조건 구성 과정 분석)

  • Son, So-Hyun;Yim, Jae-Hoon
    • The Mathematical Education
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    • v.48 no.3
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    • pp.287-302
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    • 2009
  • This study investigated how 5th grade students found and understood triangle congruence conditions (SSS, SAS, ASA). In particular, this study focused on children's processes of discovering triangle congruence conditions and the obstacles which they encountered in the process of making sense of these conditions. Our data indicates that inquiring the cases in which less than three factors of triangle are given is helpful for children to guess triangle congruence conditions and understand the minimal characteristic of these conditions. And the degree of difficulty of discovering each congruence condition is different. Children discovered SAS condition and ASA condition easily, but it was hard for them to discover and understand that SSS was also a triangle congruence condition because they connected the length of a given side with the use of a scaled ruler not a compass.

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Reliability In a Half-Triangle Distribution and a Skew-Symmetric Distribution

  • Woo, Jung-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.2
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    • pp.543-552
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    • 2007
  • We consider estimation of the right-tail probability in a half-triangle distribution, and also consider inference on reliability, and derive the k-th moment of ratio of two independent half-triangle distributions with different supports. As we define a skew-symmetric random variable from a symmetric triangle distribution about origin, we derive its k-th moment.

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Morley 정리의 한 증명방법과 그 활용에 대한 연구

  • Lee, Sang-Keun;Lee, Chun-Goo
    • East Asian mathematical journal
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    • v.24 no.5
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    • pp.521-526
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    • 2008
  • In this study, we'll check the proof of Morley's theorem that calculate the sides XY, YZ and ZX of Morley's triangle. We may now consider calculate area of Morley triangle and observation that, for example, in triangle ABC, length or sides XY, YZ and ZX are $8Rsin{\alpha}sin{\beta}sin{\gamma}$, respectively. Therefore, compare with the area of Morley's triangle XYZ and the area of triangle ABC.

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Skinny Triangle Removal for Marching Cubes (마칭 큐브의 Skinny Triangle 제거)

  • Kim, Yong-Hun;Kim, Ku-Jin
    • Proceedings of the Korea Information Processing Society Conference
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    • 2021.11a
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    • pp.956-959
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    • 2021
  • 마칭 큐브 알고리즘은 등밀도 곡면을 추출하는 과정에서 skinny triangle을 자주 생성한다. Skinny triangle은 한 변의 길이 또는 한 개의 내각이 기준치 이하인 삼각형으로서, 곡면을 처리할 때 여러 문제를 발생시킨다. 본 논문에서는 마칭 큐브 알고리즘에서 고려되는 15가지의 복셀 종류에 따라 skinny triangle을 제거할 수 있는 방법을 제안한다.

A Note of the Serpinsky Triangle Program (Serpinsky 삼각형 프로그램의 연구)

  • 이정재
    • Education of Primary School Mathematics
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    • v.7 no.1
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    • pp.57-64
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    • 2003
  • This article is that we develop a learning Serpinsky Triangle using on the internet by the domain of regulations and function in elementary school mathematics. We construct the learning operation of zoom Serpinsky Triangle that can be used on the internet and develop the java program for understanding the concept of the Serpinsky Triangle.

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