• 한국정밀공학회지
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• 제20권12호
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• pp.42-47
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• 2003

The laser direct writing method has some advantages of being maskless, allowing rapid and inexpensive prototyping in comparison to conventional mask-based photolithography. In general, there are two kinds of laser direct writing methods such as the laser ablation method and the laser polymerization method. The laser polymerization method was studied fur manufacturing waveguide in this paper. It is important to reduce line width for image mode waveguides, so some investigations will be carried out in various conditions of process parameters such as laser power, writing speed, focusing height and optical properties of polymer. Experimentally, the optical waveguide was manufactured trapezoid shape. Through SEM the waveguide was 20 ${\mu}{\textrm}{m}$ width and 7.4 ${\mu}{\textrm}{m}$ height.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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• pp.98-100
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• 2004

This paper is proposed vibration minimize method of PMLSM which is designed to minimize detent force. To minimize of vibration at acceleration discontinuous point of velocity curve, genetic algorithm is applied. The vibration characteristic is compared general trapezoid velocity curve with proposed velocity profile.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제16권3호
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• pp.155-176
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• 2012

It is an important issue to explore classroom environments which are conducive to developing students' mathematical performance. This study explores the effects of different classroom environments (solution-demand and corresponding-time setting) on mathematical performances. Fourteen and eighteen prospective teachers were required to prove a task under different conditions respectively: a) Cognitive demand of multiple-solution corresponding time of three hours, and b) Cognitive demand of a right solution corresponding time of 20 minutes. We used SOLO as the assessment tool for mathematical performance from quality perspective. Significant differences were found in the quantity and quality of mathematical performance. The regular environment focusing on speed and accuracy were found to be directly linked to low levels of performance. The findings above provide implications to the cognitive benefits of multiple-solution demand and corresponding time setting.

• 호남수학학술지
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• 제37권1호
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• pp.41-52
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• 2015

It is well known that the area U of the triangle formed by three tangents to a parabola X is half of the area T of the triangle formed by joining their points of contact. Recently, it was proved that this property is a characteristic one of parabolas. That is, among strictly locally convex $C^{(3)}$ curves in the plane $\mathbb{R}^2$ parabolas are the only ones satisfying the above area property. In this article, we study strictly locally convex curves in the plane $\mathbb{R}^2$. As a result, generalizing the above mentioned characterization theorem for parabolas we present some conditions which are necessary and sufficient for a strictly locally convex $C^{(3)}$ curve in the plane to be an open part of a parabola.

• Journal of Information Technology Applications and Management
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• 제10권4호
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• pp.135-147
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• 2003

With the development of multimedia and optical technologies, application systems with facial features hare been increased the interests of researchers, recently. The previous research efforts in face processing mainly use the frontal images in order to recognize human face visually and to extract the facial expression. However, applications, such as image database systems which support queries based on the facial direction and image arrangement systems which place facial images automatically on digital albums, deal with the directional characteristics of a face. In this paper, we propose a method to detect facial directions by using facial features. In the proposed method, the facial trapezoid is defined by detecting points for eyes and a lower lip. Then, the facial direction formula, which calculates the right and left facial direction, is defined by the statistical data about the ratio of the right and left area in facial trapezoids. The proposed method can give an accurate estimate of horizontal rotation of a face within an error tolerance of $\pm1.31$ degree and takes an average execution time of 3.16 sec.

• Journal of Plant Biology
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• 제29권2호
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• pp.135-143
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• 1986

The distributional pattern of the bast fibres strands or bundles in the stems of Sida species represented in Nigeria is studied. Three major patterns of arrangement are recognized, namely aggregation of fibre strands into units with wedge-shaped, or triangular, rectangular, rhomboidal, square and trapezoid outlines; serial arrangement of fibre strands into rings or circular, ovoid, semi-circular or crescentic rows; and intermediate pattern in which both fibre strands-aggregates and serial rows of strands patterns are combined. The first pattern is found in S. linifolia, S. urens and S. scabrida, the second in S. cordifolia, S. pilosa, S. ovata, S. rhombifolia and S. spinosa, and the third in S. garckeana, and S. acuta. A dichotomous key based on these features is presented. Dimensional characteristics of the bast fibre cells are also given.

• Journal of Information Display
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• 제4권1호
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• pp.24-28
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• 2003

We studied the anchoring properties in photo-aligned periodic domains of liquid crystals (LCs) in an alternating homeotropic and hybrid geometry. In this geometry, the surface anchoring energy was determined in using the director-distorted length of the LC near domain boundary, calculated in a linear approximation of the director profile within the continuum theory. The measurements were made using the LC diffraction grating with the phase profile in the form of a trapezoid.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 하계학술대회 논문집 B
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• pp.935-937
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• 2004

This paper is proposed vibration minimize method of slotted PMLSM which is designed to minimize detent force. For improvement of operational performance by changing velocity profile to reducing the vibration at discontinuous section of acceleration curve in this paper, proter type machine is made, the vibration is compared general trapezoid velocity profile with vibration minimization velocity profile.

• Design & Manufacturing
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• 제14권4호
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• pp.1-10
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• 2020

The seal plays a role in preventing oil leakage when the lip and the rotating shaft come into contact with the fluid and air pressure. Recently, micro dimples or micro pockets are processed and used on the lubrication surfaces of thrust bearings, mechanical bearings, and piston rings. Compared to a smooth surface, micro dimples reduce friction and increase the life of parts. This paper analyzed various kinds of micro dimple shapes on the sealing surface, i.e. circle, rectangle, triangle, and trapezoid. For this purpose, Introduced the design of experiments to work out a micro dimple configuration, unlikely to be damaged from cracks and low in contact stress. As a result, the triangular dimple showed the best results. Optimal factors were dimple size 0.15 mm, dimple depth 0.0383 mm, dimple density 40%, and the maximum equivalent stress was 9.1455 MPa, and the maximum contact pressure was 9.6612 MPa. This paper analyzed the optimal shape of dimples by finite element analysis. As a research project, experiments and comparative analysis of micro dimple shapes are needed.

• Elastomers and Composites
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• 제57권3호
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• pp.114-120
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• 2022

The tensile properties of the extruded PC film were measured in the extrusion direction and perpendicular to the extrusion direction. The measured properties were the elastic modulus and Poisson's ratio at the glass transition temperature of PC. The measured orthotropic properties of the film were used for the computer simulation of vacuum forming. In this simulation, three mold shapes were tested: dome, trapezoid, and cubic, and the vacuum was applied between the mold surface and the heated film. The stress, strain, thickness, and stretch ratio distributions of the film in different mold shapes were observed and compared. The thermoforming simulation method used in this study and the obtained results, considering the determined orthotropic properties, can be applied to the thermoforming of various three-dimensional shapes.