• Title/Summary/Keyword: straight line

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Revisiting Linear Equation and Slope in School Mathematics : an Algebraic Representation and an Invariant of Straight Line (직선의 대수적 표현과 직선성(直線性)으로서의 기울기)

  • Do, Jong-Hoon
    • Communications of Mathematical Education
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    • v.22 no.3
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    • pp.337-347
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    • 2008
  • 'Slope' is an invariant of a straight line and 'Linear Equation' is an algebraic representation of a straight line in the cartesian plane. The concept 'slope' is necessary for algebraically representing a geometrical figure, line. In this article, we investigate how those concepts are dealt with in school mathematics and suggest some improvement methods.

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A Study on the Il-ja-ock in Northeast Region of China during the Qing Dynasty - Focused on the Writings in Yeon-haeng-rok - (청대(淸代) 중국(中國) 동북부(東北部) 지역(地域) 일자옥(一字屋)에 관한 연구(硏究) - 연행록(燕行錄)에 나타난 기록을 중심으로 -)

  • Lee, Seung-Yeon;Lee, Sang-Hae
    • Journal of architectural history
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    • v.8 no.2 s.19
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    • pp.47-58
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    • 1999
  • The purpose of this study is to analyze the historical and environmental background of the straight-line-shaped plan emerged in northeast region of China during the Qing dynasty. This raper is mainly based on the writings in Yeon-haeng-rok. The results are summarized as follows: First the necessity of a lot of sunshine due to the cold climate in that region made the people select the plan that rooms to be added side by side. Second, it was not necessary to build the house with non-straight-line-shaped plan due to the reason that the northeast region of China is so vast and the size of the house lot was not limited. Third, the condition of family income somewhat affect the shape of plan to be straight-line-shaped, which is much economical to construct a house than other shape of plan. Fourth, the way of living of the people in that region during the Qing dynasty made the house plan straight-line-shaped which is convenient to sit either on the floor or on the chair within a room. Fifth, straight-line-shaped plan became an adequate means to represent the hierarchy of the use of inner space of a house and eventually became an architectural norm of this region.

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A Switched Visual Servoing Technique Robust to Camera Calibration Errors for Reaching the Desired Location Following a Straight Line in 3-D Space (카메라 교정 오차에 강인한 3차원 직선 경로 추종을 위한 전환 비주얼 서보잉 기법)

  • Kim, Do-Hyoung;Chung, Myung-Jin
    • The Journal of Korea Robotics Society
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    • v.1 no.2
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    • pp.125-134
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    • 2006
  • The problem of establishing the servo system to reach the desired location keeping all features in the field of view and following a straight line is considered. In addition, robustness of camera calibration parameters is considered in this paper. The proposed approach is based on switching from position-based visual servoing (PBVS) to image-based visual servoing (IBVS) and allows the camera path to follow a straight line. To achieve the objective, a pose estimation method is required; the camera's target pose is estimated from the obtained images without the knowledge of the object. A switched control law moves the camera equipped to a robot end-effector near the desired location following a straight line in Cartesian space and then positions it to the desired pose with robustness to camera calibration error. Finally simulation results show the feasibility of the proposed visual servoing technique.

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Method of Harmonic Magnitude Quantization for Harmonic Coder Using the Straight Line and DCT (Discrete Cosine Transform) (하모닉 코더를 위한 직선과 이산코사인변환 (DCT)을 이용한 하모닉 크기값 (Magnitude) 양자화 기법)

  • Choi, Ji-Wook;Jeong, Gyu-Hyeok;Lee, In-Sung
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.4
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    • pp.200-206
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    • 2008
  • This paper presents a method of quantization to extract quantization parameters using the straight-line and DCT (Discrete Cosine Transform) for two splited frequency bands. As the number of harmonic is variable frame to frame, harmonics in low frequency band is oversampled to fix the dimension and straight-lines present a spectral envelope, then the discontinuous points of straight-lines in low frequency is sent to quantizer. Thus, extraction of quantization parameters using the straight-line provides a fixed dimension. Harmonics in high frequency use variable DCT to obtain quantization parameters and this paper proposes a method of quantization combining the straight-line with DCT. The measurement (If proposed method of quantization uses spectral distortion (SD) for spectral magnitudes. As a result, The proposed method of quantization improved 0.3dB in term of SD better than HVXC.

A Study on the Somatotype of the Upper Body for the Women's Bodice Pattern (길 원형을 위한 상반신의 체형 연구 - 한국 성인 여성을 대상으로 -)

  • Lee Soon Won;Nam Yun Ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.15 no.4 s.40
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    • pp.341-349
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    • 1991
  • This study was done to provide basic data for clothing design and thus to contribute to the academic development of the clothing and textile area. The focus of this study was to charac­terize the somatotype based on each individual's lateral view. For this purpose, firstly, categorization of the subjects based on their lateral view and definition of each category, secondly, characterization of each somatotype, and thirdly, sugges­tion of the deterministic criteria of each category were complished. The subjects in this study were female college students of 18 to 26 year-old whose somatotypes were comparatively invariable after cessation of physical growth. The metrical items characterizing upper body lateral view were chosen. Data were collected through Anthropometry and Photometry and analyzed by Factor analysis. The results were as follows; 1. Each subject's side view contour was classified as straight type, lean-back type, bend­forward type, and swayback according to its position to the relative plumb line. Straight type was defined as the type in which the plumb line passes through the lobe of the ear, the shoulder joint, and the mid abdominal region laterally. Lean-back type positioned the plumb line more posteriorly than straight type. Bend-forward type positioned the plumb line more anteriorly than straight type. Swayback positioned the plumb line at about the same line as straight type. And curvature of side view contur was more prominent in this type than in straight type. 2. Seven factors were figured out. The first factor was representing upperbody volume, and the second factor was representing size, the third factor was horizontal distance from lateral view representing size view contour. The fourth factor was front body length, the fifth factor was back body length. The sixth factor was shoulder length and shoulder width representing shoulder shape. The seventh factor was the bust shape.

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A Study on the Robot Control for Straight Line Trajectory Planning (직선 궤적 계획을 위한 로보트 제어에 관한 연구)

  • Gil, Jin-Su;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.405-408
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    • 1991
  • In this paper, the algorithm of Resolved Motion Rate Control(RMRC) is applied to the robot manipulator to implement a desired straight trajectory in the cartesian space, PI controller is also used to control the velocity and position which are produced by RMRC algorithm. And Bounded Deviation Method is used to determine the intermediate knot points which satisfy a given tolerence limit, between the straight line segment.

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A Study of Hair Damage by Magic Straight Perm

  • Lim, Sun-Nye
    • Applied Microscopy
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    • v.42 no.3
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    • pp.129-135
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    • 2012
  • In this study, the changes in hair quality before and after Magic straight perm have been evaluated through a hair damage measurement method. For this, a healthy high school student's (age18 years) wavy hair was selected and permed on the left and right sides. Then, the changes caused by physical methods which were applied during the fl at iron-based Magic straight perm were evaluated based on the hair damage measurement method before and after the Magic straight perm. According to the protein release test after the Magic straight perm, 1.26% in average and 0.14% was observed in Cool Magic straight perm sample. In a field emission scanning electron microscopy (FE-SEM) test, saw teeth-shaped partial desquamation of cuticle cells and impurities were observed in the warm-treated hair sample. In atomic force microscope (AFM), line-profile is a method to represent roughness data on hair. According to analysis on 3-dimensional (3D) images, the hair with Cool Magic straight perm was lower than the hair with Warm Magic perm in terms of the color change of 3D images. In addition, vertical changes were observed in the hair with Cool Magic perm. As a result, irregular surface roughness was observed. This study proposed a method to minimize hair damage by cooling down the heat with the cool hair straightener as soon as the Warm Magic was finished.

THE CANAL SYSTEM OF MANDIBULAR INCISORS (하악 절치의 근관계에 관한 연구)

  • Rhim, Eun-Mi;Choi, Ho-Young;Park, Sang-Jin;Choi, Gi-Woon
    • Restorative Dentistry and Endodontics
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    • v.27 no.4
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    • pp.432-440
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    • 2002
  • The purpose of this study is to identificate root canal system including ideal access placement, root curvature, canal configuration, incidence of isthmus in mandibular incisors for success of endodontic treatment. 200 mandibular incisors were selected. The ideal access placement was determimed as follows. The teeth there radiographed from mesiodistal and buccolingual views using intraoral dental film. The image was divided into coronal, middle and apical third using the proximal film. Straight line access was determined by measuring the faciolingual canal width and placing points at midway point between the buccal and lingual wall at the junction of the middle and apical third and at the juntion of coronal and middle third of the root canal. A line was drawn connecting these two points extending through the crown of the tooth. The point at which the line crossed the external crown surface was recorded as facial, incisal, lingual. Degree of root curvature was determined by Schneider Protractor Method. Both section method and clearing method were used in this study. By section method, 100 mandibular incisors were embedded in clear resin and transeverse serial sectioned at 0.5, 1.0, 2.0, 3.0, 4.0, 5.0mm level from root apex. The resected surfaces were stained by methylene blue and examined under $\times$40 magnification with a stereomicroscope. By clearing method, 100 mandibular incisors were cleared in methysalicylate after decalcification with 10% nitric acid and evaluated under $\times$18 magnification with a stereomicroscope. The results were as follows ; 1. 29% had the center of the plotted straight-line access facial to incisal edge, whereas 71% had straight-line access at the incisal edge. When incisal wear classified as extensive, the straight-line access was plotted on the incisal edge 95.5%. When incisal wear classified as slight/none, the straight-line access was plotted on the facial 65.9%. 2. Degree of curvature of main canal was straight or almost straight, and only 10% in buccolingual direction had a degree of curvature greater than 20 degrees and 5.5% in mesiodistal direction had. 3. In section method, canal configuration analysis showed that 51% of the specimen classified as type I, 27% as type II, 12% as type III, 10% as type IV. For theses setions with two canals, the incidence of an isthmus was 36.7%, 64.3%, 79.2%, 96.3%, 97.4%, 97.6% at each level and highest in 3~5mm sections. 4. In clearing method, canal configuration analysis showed that 74% of the specimen classified as type I, 11% as type II, 6% as type III, 9% as type IV. These results suggested that traditional access from lingual should be moved as far toward the incisal as possible to locate and debride the lingual canal and root canal system should be cleaned, shaped completely and obturated three dimensionally for successful endodontic treatment.

Field instrumentation and settlement prediction of ground treated with straight-line vacuum preloading

  • Lei, Huayang;Feng, Shuangxi;Wang, Lei;Jin, Yawei
    • Geomechanics and Engineering
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    • v.19 no.5
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    • pp.447-462
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    • 2019
  • The vacuum preloading method has been used in many countries for ground improvement and land reclamation works. A sand cushion is required as a horizontal drainage channel for conventional vacuum preloading. In terms of the dredged-fill foundation soil, the treatment effect of the conventional vacuum preloading method is poor, particularly in Tianjin, China, where a shortage of sand exists. To solve this problem, straight-line vacuum preloading without sand is widely adopted in engineering practice to improve the foundation soil. Based on the engineering properties of dredged fill in Lingang City, Tianjin, this paper presents field instrumentation in five sections and analyzes the effect of a prefabricated vertical drain (PVD) layout and a vacuum pumping method on the soft soil ground treatment. Through the arrangement of pore water pressure gauges, settlement marks and vane shear tests, the settlement, pore water pressure and subsoil bearing capacity are analyzed to evaluate the effect of the ground treatment. This study demonstrates that straight-line vacuum preloading without sand can be suitable for areas with a high water content. Furthermore, the consolidation settlement and consolidation degree system is developed based on the grey model to predict the consolidation settlement and consolidation degree under vacuum preloading; the validity of the system is also verified.

Straight-line Path Error Reduction for the End of a Flexible Beam Deploying from a Rotating Rigid Hub (회전하는 강체허브에서 전개하는 보 끝단의 직선궤적오차 저감)

  • Kim, Byeongjin;Kim, Hyungrae;Chung, Jintai
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.11
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    • pp.898-906
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    • 2014
  • This paper presents a reduction method for a straight-line path error of a flexible beam deploying from a rotating rigid hub. Previous studies discussed about only vibration phenomena of flexible beams deploying from rotating hubs; however, this study investigates a vibration reduction of a rotating beam with variable length. The equation of motion and associated boundary conditions are derived for a flexible beam deploying from a rotating rigid hub, and then they are transformed to a variational equation. By applying the Galerkin method, the discretized equations are obtained from the variational equation. Based on the discretized equations, the dynamic responses of a rotating/deploying beam are analyzed when the beam end has a straight line motion. A reduction method for the trajectory error is proposed, using the average length of a rotating/deploying beam. It is shown that the proposed method is able to reduce the residual vibration of a rotating/deploying beam.