• Education of Primary School Mathematics
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• v.21 no.2
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• pp.209-221
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• 2018

Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum. First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

• Journal of Adhesion and Interface
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• v.15 no.2
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• pp.57-62
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• 2014

Pythagolas rule was used for investigation of static contact angle in particular figures. Static contact angle measurement was important to evaluate the wettability between solid and liquid. Optimum measurement method and standardization of calculation for static contact angle were investigated for practical application. Optimum diameter of droplet for static contact angle measurement was confirmed as 1 mm. Contact angle measurement using Pythagolas rule was also used to calculate advancing, receding angle and wettability of different surface condition. At last, it was concluded that the Pythagolas rule method was more accurate than general lineation method for static contact angle measurement.

• Proceedings of the Korea Information Processing Society Conference
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• 2012.11a
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• pp.1507-1510
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• 2012

본 논문은 EPS(전자식 파워 스티어링)에 사용되는 Torque and Angle sensor 의 절대각 신뢰성 보증 방식에 관한 것으로, Inductive 방식의 센서에서 절대각 신호 신뢰성 보증에 대한 효과적인 방법을 제시한다. 전동식 파워 스티어링 시스템의 ECU(전자제어유닛)는 조타각도를 출력하는 2 개의 소자에서 버니어 알고리즘을 통해 360 도 이상의 멀티 조타각을 인식하게 된다. 토크&조향각 센서는 절대 조향각을 계산하는 1 개의 Hall IC 소자 신호와, 상대 조향각을 계산하는 ASIC 소자 신호를 사용하여 멀티 조타각을 인식한다. 인식된 조타각이 추가적인 검증 절차 없이 제어에 사용된다면, 센서의 이상 발생 시에 운전자의 조타감을 불편해질 수 있고, 나아가서는 차량사고의 위험을 발생시킬 수 있다.따라서 차량 거동 시 절대 조향각의 신뢰성 검증은 제어와 동시에 항상 요구되어야 한다. 특히, 유럽/미국 업계의 ISO 26262 표준 도입에 따라 절대 조향각의 높은 신뢰성이 요구된다. 본 논문에서는 이러한 요구사항을 만족하기 위해 측정된 절대각 신호를 기준으로 상대각 신호 2 개를 측정에 사용하고, Driving 시에도 절대각 기준의 신뢰도 향상을 위해 절대각 신호 1 개를 비교기로 사용한다. 최적화된 에러 기준을 근거로 절대 조향각 신호의 신뢰성을 보장하는 방법을 제안한다. 이러한 방법을 적용한다면, 정확하고 안정적으로 조타각을 결정함으로써 EPS 안전성 확보에 도움을 줄 수 있다.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.47 no.7
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• pp.508-516
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• 2019

In this paper, we propose a guidance law to control Impact Angle in consideration of look angle limit of the missile with strapdown seeker on the non-maneuvering target. The proposed law is based on sliding mode algorithm and generates acceleration commands using look angle and line of sight information provided by the strapdown seeker and navigation system. And, target velocity and target path angle are provided by like TADS (Target Acquisition and Designation System) at launch time. We can confirm that the target interception and impact angle control are possible through the convergence of the proposed sliding surface. In addition, it is possible to confirm that the sign of derivative result of the look angle at the maximum and minimum look angle is opposite to the sign of the look angle, so the look angle limit is not exceeded.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.295-317
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• 2019

Angle concept is widely used in all mathematics curriculums and is a basic concept in geometric domain. Since angle have a multifaceted and affect subsequent learning, it is necessary for students to understand various angle concepts. In this study, Singapore, U.K., Australia, and U.S. are selected as comparable countries to examine the angle-related contents and learning process that appear in the curriculum as a whole, and then look at the perspectives and the size aspects of angle in detail and give implications to the Korean curriculum based on them. According to the analysis, the four countries except Korea, supplement angle, complement angle, angles on a straight line, angles at a point, and finding angle were explicitly covered in the curriculum. And most countries gradually covered angle-related contents over several years, compared to Korea which intensively studied in a particular school year. In common, definition of angle was described as static, measurement of angle was described as dynamic. But in Korean curriculum, dynamic views on angles are described later and less compared to other countries, and range of angle size was narrower than in other countries'. From this comparison, this study suggest to discuss how to place and develop various contents of characteristics of angle in curriculum, address the angle using both static and dynamic perspectives, and introduce the angle size as the amount of rotation to learn the reflex angle, $180^{\circ}$, $360^{\circ}$ angle.

• Proceedings of the Acoustical Society of Korea Conference
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• autumn
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• pp.303-306
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• 2000

복잡한 형상을 지닌 터빈 블래이드의 결함을 검사하기 위해 현재 $35^\circ,\; 38^\circ,\; 40^\circ$의 횡파 굴절각을 지닌 탐촉자를 사용하고 있다. 이와 같은 굴절각은 초음파 빔의 경로를 Snell의 법칙에 의해 설정하고 있다. 그러나 터빈 블래이드 검사용 초음파 탐촉자를 제작하는 과정에서 $35^\circ$의 횡파 굴절각을 갖는 경사각 탐촉자는 제작이 어려움을 알았다. 이러한 원인은 철강재료의 종파임계각이 $33.2^\circ$의 횡과굴절각에 대응되며, 종파임계각 근처에서는 전반사 현상 때문에 에너지 투과율이 매우 작아 실제 시험대상체에 입사되는 에너지가 거의 없으며 또한 횡파굴절각이 약 $37.5^\circ$ 일때에 휭파의 에너지 투과율이 최대가 되어 wedge를 $37.5^\circ$ 이하의 횡파굴절각을 갖도록 설계하더라도 측정을 하면 $37.5^\circ$ 근처의 횡파굴 절각을 갖게된다. 즉, 종파임계각 근처에서는 전반사 현상에 의해 경계면에서의 에너지 투과가 매우 작아 횡파 굴절각은 Snell의 법칙이 아닌 초음파 에너지의 투과 정도를 나타내는 echo transmittance의 크기에 의해 결정된다.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.40 no.1
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• pp.15-23
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• 2003

This paper proposes a fast direction of arrival (DOA) estimation algorithm that can rapidly estimate incidence angles of incoming signals using a pseudo covariance matrix. The conventional subspace DOA estimation methods such as MUSIC (multiple signal classification) algorithms need many sample signals to acquire covariance matrix of input signals. Thus, it is difficult to estimate the DOAs of signals because they cannot perform DOA estimation during receiving sample signals. Also if the D0As of signals are changing rapidly, conventional algorithms cannot estimate incidence angles of signals exactly. The proposed algorithm obtains bearing response and directional spectrum after acquiring pseudo covariance matrix of each snapshot. The incidence angles can be exactly estimated by using the bearing response and directional spectrum. The proposed DOA estimation algorithm uses only concurrent snapshot so as to obtain covariance matrix. Compared to conventional DOA estimation methods. The proposed algorithm has an advantage that can estimate DOA of signal rapidly.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.34 no.5
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• pp.471-478
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• 2016

This paper proposes the results of analysis of correlation between satellite geometry elements for an effective use of satellite images. To achieve accurate positional information, stereo images have normal range of convergence and BIE (BIsector Elevation) angles which are greatly influenced by azimuth and elevation angle of individual image. In this paper, the variations of convergence and BIE angles are estimated according to azimuth angle differences between two images and each elevation angle. The analysis provided strong support for predicting stereo geometry without complex analysis of epiploar geometry or mathematics. The experiment results showed that more than 150°, 130°, and 100° azimuth angle differences need to be constructed when elevation angle of two images is 50°, 60°, and 70°, respectively, in order to make the convergence and BIE angle within normal range. The results are expected to be fully used for various application using stereo images.

• Proceedings of the KIPE Conference
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• 2016.07a
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• pp.523-524
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• 2016

본 논문에서는 자기저항 (Magnetic Resistive, MR)각도 센서에서 자속 간섭 및 축 진동과 같은 외란에 의해 발생하는 각도맥동을 해결하는 방법이 연구되었다. 외란에 의한 각도 맥동은 일정한 기계각 속도 한 주기 내에서 전기각 속도가 불균일하게 측정되는 현상이다. 이를 해결하기 위해 위상동기루프 (phase locked loop, PLL)를 적용하였고, 자기저항 각도 센서의 각도 맥동을 효과적으로 제거하였다.

• Journal of Korean Ophthalmic Optics Society
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• v.15 no.1
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• pp.79-85
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• 2010

Purpose: We studied the relationship between subjective and objective deviating angle. Methods: Those who were diagnosed with strabismus among the patients who had no systemic diseases that fifty-one subjects (Male; 21, Female; 30) were measured between seven to sixty three years, evaluated to alternate cover test after AR/K (Canon RK-FI, Japan) and retinoscope measured refractive errors. Objective deviating angle was measured using prism bar; and subjective and objective deviating angles were measured and compared using the synoptophore. Results: For the correlation between subjective and objective deviating angles. The differences were $2.6{\pm}2.5{\Delta}$, between subjective deviating angle measured using synoptophore and objective deviating angles measured using synoptophore were $0.7{\pm}1.4{\Delta}$, the average with each other were $1.7{\pm}1.8{\Delta}$, with all the differences highly significant. Conclusions: We thought not only reduced angle of deviating errors and identified the significance in the correlation between subjective and objective deviating angles but also considered to be useful in determining deviating angle of patient with strabismus.