• Title/Summary/Keyword: ANGLE

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An International Comparison study in Mathematics Curriculum - Contents for Angle among the Korea, Singapore U.K., Australia and U.S. (수학 교육과정 국제 비교·분석 연구 - 한국, 싱가포르, 영국, 호주, 미국의 각 관련 내용 중심으로)

  • Choi, Eun;Kim, Seo Yeong;Kwon, Oh Nam
    • 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.

Analysis of the Chip Shape in Turing (I) -Analysis of the Chip Flow Angle- (선삭가공의 칩형상 해석 (I) -칩흐름각 해석-)

  • 이영문;최수준;우덕진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.139-144
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    • 1991
  • Chip flow angle is one of the important factors to be determined for the scheme of Chip Control. Up to now, however, a dependable way to predict the chip flow angle in practical cutting has not been established satisfactorily. In this paper a rather simple theoretical prediction of chip flow angle is tried based on some already widely confirmed hypotheses. The developed equation of chip flow angle contains the parameters of depth of cut d, feed rate f, nose radius $r_{n}$ side cutting edge angle $C_{s}$, side rake angle .alpha.$_{s}$ and back rake angle .alpha.$_{b}$. Theoretical results of chip flow angle given by this study bas been shown in a good agreement with experimental ones.s.s.s.s.

THE VARIATION OF THE CRANIO FACIO-SKELETAL COMPLEX ACCORDING TO CHANGE OF THE GONIAL ANGLE (Gonial Angle에 따른 두부 및 안면부 골격의 변화에 관한 연구)

  • Kim, Jong Chul
    • The korean journal of orthodontics
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    • v.8 no.1
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    • pp.27-37
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    • 1978
  • In order to know the variation of the associated craniofacial skeletal angle and linear distance according to the change of gonial angle, the roentgenographic cephalo metric study was undertaken in Korean normal cephalometric analysis and eletric computer. The fallowing results were optained. 1) The size of gonial angle is mainly depend on the lower gonial angle. The mean of upper gonial gngle is almost same in normal occlusion group$^*$ and malocclusion group. 2) It was resulted on normal group and malocclusion group by F test that the number of parameters that were significant at 5% level of confidence were 14 parameters in normal occlusion group and 22 parameters in malocclusion group. 3) Ramus height and mandibular body length increased and facial ratio is decreased as gonial angle decreased. 4) MP-T, overbite depth and Y-axis angle is not related to gonial angle in normal occlusion group, but in moloclusion group, as gonial angle decreased, MP-T and overbite depth is increased and Y-axis angle is decreased. 5) SN-MP, OP-MP, PP-MP is increased as gonial anglel increased, it was mainly depend on the lower gonial angle.

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The Small Angle Generator Based on a Laser Angle Interferometer

  • Eom, Tae-Bong;Jeong, Don-Young;Kim, Jae-Wan
    • International Journal of Precision Engineering and Manufacturing
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    • v.8 no.3
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    • pp.20-23
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    • 2007
  • To calibrate precision autocollimators, the Korean Research Institute of Standards and Science (KRISS) has built a small angle generator using a laser interferometer. The system is based on a sine bar mechanism in which the angle is determined from the ratio of two lengths. The rotational angle is measured by the angle interferometer and the heterodyne laser interferometer detects the relative displacement of two retro-reflectors attached to the rotating arm. The distance between the two retro-reflectors of the laser angle interferometer is self-calibrated by an index table positioned on the rotating arm. The resolution of the system is 0.002 seconds, and the accuracy is better than 0.04 seconds within a measuring range of $\pm$1 degree. The small angle generator can also be used with an index table that can divide one circle into 1440 angles. The combined system can generate any angle over 360 degrees to an accuracy of 0.11 seconds.

A computational analysis of the scarf angle on a composites repair

  • Kim, Yun-Hae;Jo, Young-Dae;Murakami, Ri-Ichi
    • International Journal of Ocean System Engineering
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    • v.1 no.1
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    • pp.9-15
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    • 2011
  • This study examined the relationship between the scarf angle and stress distribution, and estimated the strength recovery via a finite element analysis. The following conclusions were drawn from this study. Resin will fracture due to a tensile load with a high scarf angle, which is similar to the patch repair method. An applied stress can be loaded to a repaired laminate if the scarf angle is $5^{\circ}$. The Von-Mises stress increases with decreasing scarf angle, with the exception of a scarf angle of $30^{\circ}$, where the scarf angle can indicate the rates of shear and normal stresses. Strength recovery can be better if the scarf angle is decreased to a lower angle. However, scarf machining requires more time, a high skill level and considerable expense. Therefore, a scarf angle of $5^{\circ}$ is the most effective for a repair. These results may provide a guide for engineers wishing to formulate a standard for repair. The scarf angle needs to be carefully managed for a more efficient composite repair.

Effect of lumbar extensor strength according to lumbosacral angle change on chronic lumbar back pain patients (만성요통환자의 요천추 각도가 요부신전 근력에 미치는 영향)

  • Kim Kyoung-Tae;Park Rae-Joon
    • The Journal of Korean Physical Therapy
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    • v.16 no.1
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    • pp.14-31
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    • 2004
  • The Purpose of this study was to investigate the change of lumbar extensor strength according to lumbosacral angle on chronic lumbar back pain patients. For this investigation lumbar extensor strength was administered to 60 patients who were diagnosed chronic lumbar back pain The subjects was to investigate lumbosacral angle in standing position and it were calculated lumbar extensor strength by using Medex. The result of this study summarized are as follows ; 1. Total experimental group exhibited significantly higher difference than control group in lumbar extensor strength among all degree lumbosacral angle. 2. In the relationship between experimental group and control group in lumbar extensor strength among lumbosacral angle, all degree difference was revealed II, I, III order. 3. In the relationship between experimental group and control group in lumbar extensor strength among lumbosacral angle, I group difference was did not. 4. In the relationship between experimental group and control group in lumbar extensor strength among lumbosacral angle, all degree among II group was noted significantly difference except 24, 72 angle. 5. In the relationship between experimental group and control group in lumbar extensor strength among lumbosacral angle, control group was revealed higher muscle strength 48, 60, 72 angle, however no significantly difference was noted 0, 12, 24 angle. The study was objected difference of other group in both of experimental and control group. Because lumbar extensor weakness with bad position was gradually increased back pain, to Maintain normal lumbosacral angle befor exercising lumbar extensor strength was most important.

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Impact Angle Control for Non-maneuvering Target with Look Angle Measurements and Line of Sight (지향각, 시선각 정보를 이용한 이동표적의 충돌각 제어)

  • Park, Jang-Seong;Lee, Dong-Hee;Park, Sang-Hyuk;Kim, Yoon-Hwan
    • 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.

An Evaluation of the Reliability and Validity of the Automatic Pennation Angle Measuring Program (깃각 자동측정 프로그램의 신뢰도와 타당도 평가)

  • Kim, Jong-Soon
    • PNF and Movement
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    • v.17 no.2
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    • pp.329-337
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    • 2019
  • Purpose: Ultrasound imaging is commonly used to measure the pennation angle of human skeletal muscles in vivo. However, manual assessment of the pennation angle using ultrasound images is subjective and time-consuming and requires a high level of examiner skill. The architectural analysis of human skeletal muscles is thus challenging. Automated approaches using image processing techniques are therefore required to estimate the pennation angle in ultrasound images. The purpose of this study was thus to assess the intra-tester and inter-tester reliability and validity of the pennation angle using an automatic measurement program. Methods: Twenty-two healthy young adults (mean age = 22.55 years) with no medical history of neurological or musculoskeletal disorders voluntarily participated in this study. Ultrasound imaging was used to measure the pennation angle of the gastrocnemius muscle at rest. One examiner acquired images from all the participants. The intra-tester and inter-tester reliability were evaluated using the intraclass correlation coefficient (ICC) to estimate reliability. Validity was measured using Pearson's correlation coefficient. Results: The intra-rater reliability was excellent for the automatic pennation angle measuring program and the manual pennation angle assessment method (ICC>0.95). The inter-rater reliability was also excellent for both methods (ICC>0.93). All the correlation coefficients for the automatic pennation angle measuring program and the manual pennation angle assessment method were 0.79, which indicated a significantly positive correlation (p<0.05). Conclusion: Pennation angle measurement using the automatic pennation angle measuring program showed acceptable reliability and validity. This study therefore demonstrated that the automatic measuring program was able to automatically measure the pennation angle of skeletal muscles using ultrasound images, and thus made it easy to investigate skeletal muscle architecture.

A Study on the Measuring Angle Error by Trilateration (三邊測量에 의한 測角誤差에 관한 硏究)

  • Lee, Key-Hak
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.10 no.2
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    • pp.45-48
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    • 1992
  • The sighting errors significantly affect to the measuring angle in the horizontal angle observation. We achieved trilateration for the observation of the measuring angle value involved sighting error. According to the each measuring distance, this study dealt with the measuring angle errors through the comparison of the measuring angle with the computed angle in trilateration.

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A CEPHALOMETRIC STUDY OF THE TONGUE AND THE INTERMAXILLARY SPACE (혀와 악간공간(INTERMAXILLARY SPACE)에 관한 두부방사선 계측학적 연구)

  • Kang, Hung-Sok;Ryu, Young-Kyu
    • The korean journal of orthodontics
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    • v.14 no.2
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    • pp.233-239
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    • 1984
  • The author studied on the tongue position, tongue space and intermaxillary space at 4 groups; normal occlusion 30 cases, Angle's Class I bimaxillary protrusion 29 cases, Angle's Class II malocclusion 26 cases, Angle's Class III malocclusion 26 cases. This study used the data from cephalometric films of female subject aged from 16 to 23 years. Following results were obtained; 1. Dorsal height in Angle's Class III malocclusion was greater than normal occlusion. 2. Anterior Intermaxillary Height in Angle's Class I bimaxillary protrusion and Angle's Class III malocclusion was greater than normal occlusion. 3. Tongue space in Angle's Class I bimaxillary protrusion was greater than normal occlusion. 4. The ratio of the tongue space to the intermaxillary space (T.S./I.S.) in Angle's Class II malocclusion was greater and the ratio in Angle's Class III malocclusion is lesser than normal occlusion.

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