• Title/Summary/Keyword: Triangle Function

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Suggestion and Application of Didactical Principles for Using Mathematical Teaching Aids (수학 교구 활용을 위한 교수학적 원리의 제안 및 적용)

  • Lee, Kyeong Hwa;Jung, Hye Yun;Kang, Wan;Ahn, Byoung Gon;Baek, Do Hyun
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.203-221
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    • 2017
  • The purpose of this study is to suggest didactical principles for using mathematical teaching aids and to applicate didactical principles in a relation with curriculum. First, we meta-analyzed related literature to suggest didactical principles for using mathematical teaching aids. And we suggested didactical principles as follows: principle of activities, principle of instruments, principle of learning. Using mathematical teaching aids with didactical principles in mind would help avoiding situations in which mathematical teaching aids are only used as interesting tools. Second, we concretized the meaning to applicate didactical principles and use mathematical teaching aids in a relation with curriculum. We considered domain, key concept, function, achievement standard, which were presented in the curriculum of mathematics, and suggested concrete activities. Third, we produced two designs for lessons on incenter and circumcenter of triangle and linear function's graph using mathematical teaching aids.

Clinical Features of Retinal Correspondence according to Refractive Errors and Deviation Angles (굴절이상과 편위각에 따른 망막대응의 임상적 고찰)

  • Wi, Dae-Gwang;Joo, Seok-Hee;Lee, Koon-Ja;Leem, Hyun-Sung
    • Journal of Korean Ophthalmic Optics Society
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    • v.15 no.4
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    • pp.367-372
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    • 2010
  • Purpose: The purpose of this study was to provide useful information for evaluating the sensory function of patients with strabismus by identifying the distribution of anomalous retinal correspondence (ARC) and normal retinal correspondence (NRC) by the degree of refractive errors and deviation angles. Methods: Objective refraction (AR/K, Cannon RK-F1, Japan) and subjective refraction tests were performed on 56 subjects (male: 26, female: 30) by an examiner; objective deviation angle was measured using synoptophore (OCULUS Synoptophore, Germany) with subject' eyes fully corrected for distance, and then subjective deviation angle was measured. Results: In all groups with refractive errors, the number of ARC was larger than that of NRC(67%). Particularly, it was largest in groups with myopia (71%), and in all groups, the number of UARC was larger than that of HARC. In groups with anisometropia, although the numbers of NRC and ARC were same, the number of UARC was larger than that of HARC as in other groups. In the distribution of NRC and ARC by deviation angle, the number of NRC was larger than that of ARC (46%) only at microstrabismus (0 ~ ${\pm}10{\triangle}$). Conclusions: Normal retinal correspondence were the most emmetropia in the retinal response were much higher than in the more hyperopia than the retinal correspondence were more myopia. In addition, the smaller the angle of retinal correspondence Normal over many, but overall, respectively.

Exploring Job Aptitude through Analyzing the Relationship between Six Types of GEOPIA and MBTI's four Function Types (도형심리검사 GEOPIA 6가지 유형과 MBTI 4기능 유형 간 관계연구를 통한 직업적성탐구)

  • Oh, Mi-Ra;Choi, Jeang-Han
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.9
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    • pp.82-92
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    • 2019
  • The purpose of this study was to analyze the relationship and degree of agreement between the six types of Geometry Psychological Assessment (GEOPIA) and four functions of the Myers-Briggs Type Indicator (MBTI) personality test, and to investigate the appropriate level of vocational aptitude commonly recommended by each tool. A total of 377 adult men and women from Korea, aged between 19 and 70 years, were tested using GEOPIA and the MBTI. Cronbach's alpha was calculated to verify the validity and reliability of the measuring tools, and the mean and standard deviation of each variable were calculated. Also, a cross-sectional analysis was conducted to examine the relationship between GEOPIA and the MBTI. The results showed that Round/Triangle (RT) types, Round/Box (RB) types, Triangle/Box (TB) types and Box/Curve (BC) types among the GEOPIA personality types are highly related to MBTI's Sensing/Thinking (ST) types. GEOPIA RC types were related to Intuition/Feeling (NF) and Sensing/Feeling (SF) types, and TC types were highly related to Intuition/Thinking (NT) types. Based on the common characteristics of the two tests, the findings suggest appropriate levels of vocational aptitude. Through this research, it was confirmed that GEOPIA (a Korean psychology and personality test) can be used in counseling, coaching, and education, and above all, is a reliable tool for vocational psychological assessment to search for career aptitude.

Exploring a Hypothetical Learning Trajectory of Linear Programming by the Didactical Analysis (선형계획법의 교수학적 분석을 통한 가설 학습 경로 탐색)

  • Choi, Ji-Sun;Lee, Kyeong-Hwa;Kim, Suh-Ryung
    • Journal of Educational Research in Mathematics
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    • v.20 no.1
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    • pp.85-102
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    • 2010
  • Linear programming(LP) is useful for finding the best way in a given condition for some list of requirements represented as linear equations. This study analysed LP in mathematics contexts and LP in school mathematics contexts, considered learning process of LP from an epistemological point of view, and explored a hypothetical learning trajectory of LP. The differences between mathematics contexts and school mathematics contexts are whether they considered that the convex polytope $\Omega$ is feasible/infeasible or bounded/unbounded or not, and whether they prove the theorem that the optimum is always attained at a vertex of the polyhedronor not. And there is a possibility that students could not understand what is maximum and minimum of a linear function when the domain of the function is limited. By considering these three aspects, we constructed hypothetical learning trajectory consisted of 4 steps. The first step is to see a given linear expression as linear function, the second step is to partition a given domain by straight lines, the third step is to construct the conception of y-intercept by relating lines and the range of k, and the forth step is to identify whether there exists the optimum in a given domain or not.

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Improved Fuzzy Binarization Method with Trapezoid type Membership Function and Adaptive α_cut (사다리꼴 형태의 소속 함수와 동적 α_cut 을이용한 개선된 퍼지 이진화)

  • Woo, Hyun-su;Kim, Kwang-baek
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.10
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    • pp.1852-1859
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    • 2016
  • The effectiveness of a binarization algorithm in image processing depends on how to eliminate the uncertainty of determining threshold in a reasonable way and on minimizing information loss due to the binarization effect. Fuzzy binarization technique was proposed to handle that uncertainty with fuzzy logic. However, that method is known to be inefficient when the given image has low intensity contrast. In this paper, we propose an improved fuzzy binarization method to overcome such known drawbacks. Our method proposes a trapezoid type fuzzy membership function instead of most-frequently used triangle type one. We also propose an adaptive ${\alpha}$_cut determination policy. Our proposed method has less information loss than other algorithms since we do not use any stretching based preprocessing for enhancing the intensity contrast. In experiment, our proposed method is verified to be more effective in binarization with less information loss for many different types of images with low intensity contrast such as night scenery, lumber scoliosis, and lipoma images.

Mesh Simplification for Preservation of Characteristic Features using Surface Orientation (표면의 방향정보를 고려한 메쉬의 특성정보의 보존)

  • 고명철;최윤철
    • Journal of Korea Multimedia Society
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    • v.5 no.4
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    • pp.458-467
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    • 2002
  • There has been proposed many simplification algorithms for effectively decreasing large-volumed polygonal surface data. These algorithms apply their own cost function for collapse to one of fundamental simplification unit, such as vertex, edge and triangle, and minimize the simplification error occurred in each simplification steps. Most of cost functions adopted in existing works use the error estimation method based on distance optimization. Unfortunately, it is hard to define the local characteristics of surface data using distance factor alone, which is basically scalar component. Therefore, the algorithms cannot preserve the characteristic features in surface areas with high curvature and, consequently, loss the detailed shape of original mesh in high simplification ratio. In this paper, we consider the vector component, such as surface orientation, as one of factors for cost function. The surface orientation is independent upon scalar component, distance value. This means that we can reconsider whether or not to preserve them as the amount of vector component, although they are elements with low scalar values. In addition, we develop a simplification algorithm based on half-edge collapse manner, which use the proposed cost function as the criterion for removing elements. In half-edge collapse, using one of endpoints in the edge represents a new vertex after collapse operation. The approach is memory efficient and effectively applicable to the rendering system requiring real-time transmission of large-volumed surface data.

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Change of Miryang-Dohobu Eupseong(Town-castle)'s Spatial Structure Since Japanese Invasion of Korea in 1592 (임진왜란이후 밀양도호부 읍성의 공간구조 변화)

  • Kwon, Soon-Kang;Lee, Ho-Yeol
    • Journal of architectural history
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    • v.22 no.2
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    • pp.43-54
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    • 2013
  • Compared to Early Chosun Dynasty, the spatial structure of most local Eupseongs of Korea had a standardized change with the expansion and spread of the Rye-hak(禮學:a study of confucius Rite). Meanwhile in the process of rebuilding Eupseongs there was a tendency of relocation of the local government offices(官衙) and its attached facilities in terms of functions and use. Although it was PyeongSanseong Miryang Eupseong had an unreasonable spatial structure locating Gaeksa(客舍; accommodation house for visitors) in the middle of the local government office complex, and Dongheon(東軒;main office building) in the east of it before the Japanese Invasion of Korea in 1592. However with the reorganization of spatial Structure of local Eupseongs after the Japanese invasion Gaeksa was moved to the foot of Adongsan where commanded a fine view of river. Dongheon was moved to the center of Eupseong for the effective management of its auxiliary organizations. It was because road system and administrative efficiency had a serious effect on deciding the location of the local government office and its attached facilities. After the Japanese invasion Hyangchoeng(鄕廳), having been out of Eupseong, also was moved to the independent location within Eupseong separate from Dongheon and Gaeksa. It seemed to take into account the autonomy of Hyangchoeng. Dongheon, Gaeksa, and Hyangchoeng which are the crucial facilities of Milyang Eupseong were arranged at each angular point of big triangle. In order to enhance the administative efficiency, the attached administrative facilities were arranged surrounding Dongheon and Hyangchoeng. The spatial structure of Milyang Eupseong in the late Choseon dynasty was of great difference from that of uniformly organized system of early Choseon Period. It was because the development of administrative function, the pursuit of efficiency, and commercial progress had a great impact on the change of urban space.

Numerical study on the mitigation of rain-wind induced vibrations of stay cables with dampers

  • Li, Shouying;Wu, Teng;Li, Shouke;Gu, Ming
    • Wind and Structures
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    • v.23 no.6
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    • pp.615-639
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    • 2016
  • Although the underlying mechanism of rain-wind induced vibrations (RWIVs) of stay cables has not been fully understood, some countermeasures have been successfully applied to mitigating this kind of vibration. Among these, installing dampers near the bridge deck was widely adopted, and several field observations have shown its effectiveness. In this study, the effectiveness of dampers to RWIVs of stay cables is numerically investigated comprehensively by means of finite difference method (FDM). Based on the free vibration analysis of a taut string, it is found that the 3-points triangle scheme, which can be easily implemented in FDM, can offer an excellent approximation of the concentrated damping coefficient (expressed as a Dirac delta function) at the location where the damper is installed. Then, free vibration analysis of a 3-D continuous stay cable attached with two dampers is carried out to study the relationship of modal damping ratio and damping coefficient of the dampers. The effects of orientation of the dampers and cable sag on the modal damping ratio are investigated in detail. Finally, the RWIV response of a 3-D continuous stay cable attached with two dampers is examined. The results indicate that 0.5% of damping ratio is sufficient to reduce the RWIV vibration of the Cable A20 on the No.2 Nanjing Bridge over Yangtze River.

Development of A DC Motor Controller for 24V-500W Small Electric Vehicle (24V-500W급 소형전동차용 DC모터 속도 콘트롤러 개발)

  • Bang, Jun-Ho;Lee, Woo-Choun;Yu, Jae-Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.4
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    • pp.1777-1783
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    • 2012
  • In this paper, a new motor driving circuit is designed to improve the output performance of DC motor, and a controller is developed with the designed circuit. By the designed driving circuit, a controller can continuously drive DC motors by a transformer which has switching signals of a self-generated circuit to operate it. And while the DC motor have a maximum velocity, the reference voltage can be maintained higher value than that of triangle voltage and it makes the DC motor driving transistor ON and maximum power. A 24V-500W DC motor controller is developed with the proposed motor driving circuit, and also a small electric car is made and the driving test of it is executed. The test results shows that it can continuously control go and back speed of motor with 12A driving current. And also, it is verified that the over current and heat detecting function is operating correctly and the rest value of the used battery can be displayed as 6 step from 20 to 100%.

A Plan to Promote Jeonnam Region's Port Logistics through Establishment of a Logistics Network (물류네트워크 구축을 통한 전남권 항만물류 활성화 방안)

  • Choi, Dong-Oh
    • Journal of Korea Port Economic Association
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    • v.24 no.1
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    • pp.23-39
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    • 2008
  • This paper outlines a plan to promote South Jeonnam region's logistics capability in connection with the regional logistics bases such as Gwangyang Port, Jangseong Integrated Freight Terminal, Mokpo Port and Muan International Airport. The capability of regional innovation bodies, and industrial innovation generally, needs to be improved by establishing a systematic regional innovation plan. Smaller import and export logistics bases, presently scattered in downtown Gwangju and its suburban area, need to be integrated as soon as possible, in advance of the completion of a traffic network connecting all of the triangle logistics bases. Moreover, plans to develop Muan International Airport to the status of a hub airport need to be established, and its function as an air freight terminal should be strengthened. Gwangyang Port and Mokpo Port should be developed as Korea's key harbors with international logistics bases the two ports, presently conducting simple cargo work, should be transformed into general logistics ports conducting logistics, assembling, trading, and international business by developing their surrounding areas.

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