• Title/Summary/Keyword: plane figures

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Free Vibration of Horizontally Curved Beams with Clothoid Transient Curve (크로소이드 완화곡선을 갖는 수평 곡선보의 자유진동)

  • 이병구;진태기;이태은
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.189-195
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    • 2002
  • This paper deals with the free vibration of horizontally curved beams with transition currie. Based on the dynamic equilibrium equations of a curved beam element subjected to the stress resultants and inertia forces, the governing differential equations are derived for the out-of-plane vibration of curved beam with variable curvature. These equations are applied to the beam having transition curve in which the clothiod curve is chosen in this study. The differential equations are solved by the numerical methods lot calculating the natural frequencies and mode shapes. For verifying theories developed herein, the frequency parameters obtained from this studs and ADINA are compared with each other. As the numerical results, the various parametric studies effecting on natural frequencies are investigated and those results are presented in tables and figures.

The geometry of Sulbasu${\={u}}$tras in Ancient India (고대 인도와 술바수트라스 기하학)

  • Kim, Jong-Myung;Heo, Hae-Ja
    • Journal for History of Mathematics
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    • v.24 no.1
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    • pp.15-29
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    • 2011
  • This study was carrying out research on the geometry of Sulbas${\={u}}$tras as parts of looking for historical roots of oriental mathematics, The Sulbas${\={u}}$tras(rope's rules), a collection of Hindu religious documents, was written between Vedic period(BC 1500~600). The geometry of Sulbas${\={u}}$tras in ancient India was studied to construct or design for sacrificial rite and fire altars. The Sulbas${\={u}}$tras contains not only geometrical contents such as simple statement of plane figures, geometrical constructions for combination and transformation of areas, but also algebraic contents such as Pythagoras theorem and Pythagorean triples, irrational number, simultaneous indeterminate equation and so on. This paper examined the key features of the geometry of Sulbas${\={u}}$tras and the geometry of Sulbas${\={u}}$tras for the construction of the sacrificial rite and the fire altars. Also, in this study we compared geometry developments in ancient India with one of the other ancient civilizations.

A Study on LED Motion Graphic Formative Image on TV Music Show (TV음악쇼 LED모션그래픽 조형이미지 구성 연구)

  • Oh, Hojun
    • Journal of Digital Contents Society
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    • v.16 no.5
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    • pp.823-834
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    • 2015
  • This study analysed motion graphic formative image composition of TV LED backdrop to be used as background display for performers such as singers appeared on TV music show. Motion graphic LED images are comprised of various plane figures, and backdrop's design function as background screen has a goal to convey synesthesia and sensibility of visual elements. And this analyse classified sensibility concept about color, motion direction and speed to be elements of transmitting sensibility. As the analyse of graphic form among transmitting sensibility elements, this classified form type into its' applied elements, and studied how these elements' motion pattern and arrangement could be placed and replaced at song's four step composition, intro, verse, bridge, chorus part, and also characterized differences of backdrop design for male and female performers. As a case study, it included terrestial broadcasting TV song ranking shows targeted at teenagers. Because they carried out various motion design utilizations. Finally, this reasoned out mainly designing form type, its' applied elements, motion pattern and its' arrangements type division according to the song developing four steps.

A Study on High performance Electrical Precipitation Technology for PM Removal in Exhaust Gas (배가스 내 미세먼지 제거를 위한 고성능 집진 기술에 대한 연구)

  • Kim, Soyeon;Kim, Minsung;Choi, Sangmi;Jung, Minkyu;Lee, Jinwook
    • Plant Journal
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    • v.18 no.1
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    • pp.50-54
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    • 2022
  • The demand for high-efficiency dust collectors is rapidly increasing to remove PM from exhaust gas emission facilities, such as thermal power plants, steel mills, and industrial cogeneration plants, as the Pmemission standards have been strengthened. In this study, the electrospray is adapted for existing electrosratic precipitator(EP) to remedy its shortcomings and to improve the performance. Electrospray has been mainly used for the purpose of generating very fine droplets, but fir the purpose of EP, the flow rate over 10 mL/min per nozzleis required, and a high flow rate condition of 65 to 200 times is required. The electrospray of high flow rate has a completely different spray shape from the low flow rate condition, and was visualized through various figures such as corona discharge photographs and shadow images.

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A Study on the Orphism Expression Effect in Contemporary Fashion (현대 패션에 표현된 오르피즘 특성)

  • Jin Kwon
    • Journal of the Korea Fashion and Costume Design Association
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    • v.25 no.3
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    • pp.97-111
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    • 2023
  • Dynamic orphism images expressed with abstraction and construction in color are often found in modern fashion. Orphism stressing color is one of the many art trends that influence fashion. This work aims to examin its expressive effects and characteristics that appear in fashion and provide basic materials for fashion design study. This study proceeds with the following steps. First, the study takes on a theoretical examination of the orphism trend using a literature review. Second, based on its results, modern fashion's expressive features influenced by orphism are analyzed. Third, the study draws expression effects in modern fashion from these characteristics. The study coverage is confined to domestic and foreign collections released in the 21st century. The study contents come from an Internet-base domestic and international database and published material, including dissertations and books. Orphism expression effects are found in the following ways in modern fashion. First, it lies in the abstraction effect of color. This feature arrays flat geometric figure on the clothing surface and applies a strong sense of color inside it, as if color has an abstractive structured design. Second, it gives a dynamic sense visually to the clothes all at once by stressing the relation among and between the colors with powerful contrast. Third, it has a collage effect of color. This effect develops into an organic combination composed of geometric plane figures with intense complementary colors in a single piece of clothing. Expression types that presents the orphism effect in fashion are divided into clothing showing traditional orphism characteristics faithfully and clothing expressing conventional orphism characteristics mixed with modern trends. Further developed orphism fashion can be classified by the playful type, with graffiti added onto an orphism color structure, and the destructive type, where traditional orphism color orders are taken apart and reformed into a new color order.

The Development of Self-Directed CAI Using Web - The main theme is the figure part of mathematics - (웹을 이용한 자기 주도적 CAI 개발 - 수학과 도형영역 중심 -)

  • Kang, Seak;Ko, Byung-Oh
    • Journal of The Korean Association of Information Education
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    • v.5 no.1
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    • pp.33-45
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    • 2001
  • In order to adapt ourselves to the Informationalization Society of twenty-first century, it is required to have ability to find quickly the necessary information and solve the problem of our own. In the field of school, it should be educated to develop learner's ability that can cope with the Informationalization Society. When a learner can study in such direction, he or she will be able to plan the learning of his own as the subject of education, and develop his ability to solve the problem by collecting and examining various information. It is self-leading learning that can make education like this possible. Through computer, especially Web site, self-directed learning can develop can develop the individuality and creativity of learners. They can collect and utilize autonomously information and knowledge. To do such an education, the program that can work out self-directed learning is needed. Therefore the program I want to develop is to reconstruct the 'figure' part of mathematics in elementary school into five steps by utilizing Web site. In the first step is to learn the concept of various shape. This step enable learners to know what figure is and how it can be utilized in our real life. The second step of dot, line and angle makes it possible that learners can consolidate the foundation of the study about figure and recognize the relation between angle and figure. In the third step of plane figure, we can study how to calculate the relation of plane figures and the area of figure with various shapes by cutting and adding them. The fourth step is about congruence and symmetry. Learners can learn to know the figure in congruence, reduction and enlargement and how it is used in our real life. In the fifth step of solid figure, we can learn the relation among the plane figure, solid figure, the body of revolution, corn and pyramid etc. controling the speed of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself. Because this program is progressed on the Web site, it is possible to learn anytime and anywhere. In addition to it, a learner can learn beyond the grade as well as do the perfect learning by controling the pace of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself.

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A Comparative Study on Teaching Contents for Angle and Measure of an Angle in Elementary Mathematics Textbook between Korea and Japan (우리나라와 일본의 초등학교 수학 교과서에서의 각 및 각도 지도 내용 비교 연구)

  • Park, Kyo Sik
    • School Mathematics
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    • v.17 no.1
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    • pp.35-46
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    • 2015
  • In this paper, the teaching contents for angle and measure of an angle in elementary mathematics textbook between Korea and Japan were compared. From this comparison, the following five suggestions were presented as implications to improve the teaching contents for angle and measure of an angle in elementary mathematics textbook in Korea. First, it is necessary to reconsider the way of the definition of angle. There is no use of half line in elementary mathematics, except when to define angle, and the way to define angle and the way to define right angle are not consistent. Second, considering to associate the turning of plane geometrical figures to the $90^{\circ}$, $180^{\circ}$, $270^{\circ}$, $360^{\circ}$ is necessary, and associating them is connected to dealing with point-symmetrical shapes in the fifth grade. Third, there is a need to deal with "the measures of angles are same." in comparing angles. This is possible by superimposing two angles in comparing the measures of them. Fourthly, it is necessary to consider the introduction of the rotational angle. Dealing with the $360^{\circ}$ as the rotational angle is related to explaining that the sum of measures of interior angles in quadrangle is $360^{\circ}$. Fifth, it is necessary to be connected with middle school mathematics curriculum. The term 'straight angle' is used in middle school, and to obtain the sum of the measures of the interior angles of a regular polygon is the contents to be dealt with in middle school.

Thermoelectric properties of unidirectionally solidified $Bi_{2}Te_{3}-PbBi_{4}Te_{7}$ eutectic alloys (일방향응고된 $Bi_{2}Te_{3}-PbBi_{4}Te_{7}$ 공정합금의 열전특성)

  • Park, Chang-Geun;Min, Byeong-Gyu;Lee, Dong-Hui
    • Korean Journal of Materials Research
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    • v.5 no.2
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    • pp.251-258
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    • 1995
  • In an effort to increase the thermoelectric figure of merit by reducing the thermal conductivity, the unidirectionally solidified n-type (Bi, Pb)-Te based alloys which form a $Bi_{2}Te_{3}-PbBi_{4}Te_{7}$eutectic lamellar structure were investigated with the microstructural control at various solidification conditions. PbBi_{4}Te_{7}$ lamellae were grown on cleavage plane(0001) of $Bi_{2}Te_{3}$ and the interlamellar spacing decreased from 10.4 $\mu \textrm{m}$to 3.2$\mu \textrm{m}$ with growth velocity variation from 1.4 \times 10^{-4}$cm/sec to $8.3 \times 10^{-4}$cm/sec. Seebeck coefficient was constant, $\mid$$\alpha$$\mid$=29 $\mu$ V/K regardless of growth direction, growth velocity and temperature gradient. Electrical conductivity showed a tendency to decrease slightly with growth velocity and it parallel to growth direction was about three times as large as perpendicular direction. The figures of merit were varied differently from Seebeck coefficients and electrical conductivities depending on the growth direction, growth velocity and temperature gradients. They showed the relative increase in case of perpendicular direction compared with parallel to growth direction. It is believed to be due to the reduction of the thermal conductivity according to decrease of the interlamellar spacing.

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Structural Study on Dance Story-Telling (무용의 스토리텔링 구조연구)

  • Kim, Ki-Hwa;Baek, Hyun-Soon
    • The Journal of the Korea Contents Association
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    • v.12 no.1
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    • pp.265-274
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    • 2012
  • This study aims to examine the physical language of dance art's acceptability of the discourse method of story-telling as a narrative discourse system from the view of story-telling of cultural contents. Dance, through the establishment of relationship between dancers and stage art, can form a discourse system with various literary devices including figures of speech, metaphors, and symbols. The argument over manifestation of dance's narrative components in the concept of story-telling is shown as follows; the background as an object can offer time and spatial backgrounds through stage art and the dancers' performance elements; and, for the character, the dancer himself can be the first-person-narrator and possibly makes plane personality descriptions. As for the elements of main affairs of dance, the stage art components present the background of primary motif of incident and the dancer's diverse relationships form conflicts through the correlation of solo dance, duet, and group dance. The plot as a process of developing the main affair is led by actant such as the dancer's mime actions, gestures, facial expressions, etc. The element of dance's revealing narration is the dance art itself and the developing structure of narration is the dance language's own grammar. Choreographers should compose persuasive dance texts to convey stories efficiently through character decisions, their actions, stage art's elements that display the time and spatial backgrounds, and the development of plot, as a narrative discourse of dance.

Contents and Sequences for Line Segments, Straight Lines, and Rays in Elementary Mathematics Curricula and Textbooks (선분, 직선, 반직선의 학습 내용과 학습 계열 분석)

  • Kim, Sangmee
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.635-652
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    • 2023
  • This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.