• Title/Summary/Keyword: Triangle Diagram

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An investigation on the hyper-dimensional figure by the principle of the permanence of equivalent forms (형식불역의 원리를 통한 고차원 도형의 탐구)

  • 송상헌
    • Journal of Educational Research in Mathematics
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    • v.13 no.4
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    • pp.495-506
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    • 2003
  • In this study, 1 investigated some properties on the special hyper-dimensional figures made by the principle of the performance of equivalent forms representation. I supposed 2 definitions on the making n-dimensional figure : a cone type(hypercube) and a pillar type(simplex). We can explain that there exists only 6 4-dimensional regular polytopes as there exists only 5 regular polygons. And there are many hyper-dimensional figures, they all have sufficient condition to show the general Euler' Characteristics. And especially, we could certificate that the simplest cone type and pillar types are fitted to Pascal's Triangle and Hasse's Diagram, each other.

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A Study of Symbolism in the Composition of Korean Men's Trousers Interpreted with Figures (남자 한복바지구성의 상징성 연구 - 도식을 중심으로 -)

  • 정옥임;김경희
    • The Research Journal of the Costume Culture
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    • v.11 no.3
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    • pp.367-374
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    • 2003
  • When analyzing forms in the human body and clothes, we conceptualize each part into a cone, sphere, and cylinder, and the esthetic characteristics of our fashion culture and esthetic fashion characteristics of Koreans are composed by expressing with universal images such as circle, square, and triangle when forms are expressed in a plane. To determine how the structural principle of shapes that are the shapes of all things and basic to geometry, i.e., circle, square, and triangle, applies to clothes that cloth our body called the small cosmos, we discussed the symbolic meaning hidden inside the structure of Korean clothes based on the basic pattern drafting method of Korean men’s traditional trousers. We drew the conclusion that Korean men's trousers composed of circles, triangles, and squares express the five elements diagram through their plane structure, are designed in circles with cones and pyramids, and are made to well express the principle of the small cosmos of our body. Moreover, when the basic pattern of Korean men’s trousers explained with the antipathy diagram is viewed to create all things while maintaining opposite and complementary relationship with Sangsang (mutually benefitting factor), it would be correct to say that the principle of the top verse the bottom is viewed as conflicting. From the structural point of view, since the philosophy of the Samsu principle (the principle of 1, 2 and 3 in which 1 represents the heaven, 2 represents the earth, and 3 represents the people) is hidden in Korean men's trousers in which Hurimalgi (the part of trousers corresponding to the waist band of Western pants) is the circle representing the heaven, Marupok is the square representing the earth, and Sapok is the triangle representing the people, we could look at deep meaning of our ancestors expressed in our clothes.

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Study on the Orgainc Relations among Hado. Laks${\u{\lrcorner}}$, a Priori Eight Trigrams, and a Posteriori Eight Trigrams (하도(河圖)${\cdot}$락서(書洛)${\cdot}$선천팔괘(先夭八卦)${\cdot}$후천팔괘(後夭八卦)의 상호 유기적 관계 연구)

  • Kim, Byoung-Soo
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.21 no.2
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    • pp.379-386
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    • 2007
  • Hado(河圖) and Laks${\u{\lrcorner}}$(書洛) are the diagrams composed of the symbols of numbers from one to ten. And the eight-trigrams, P'al-gwoe divide into two types one is a priori eight-trigrams (先夭八卦) or the Bok-Hui's eight trigrams(伏羲八卦); and the other is a posterior eight trigrams (後夭八卦) or the king Mun's eight trigrams (文王八卦). Relating these two diagrams of Hado and Laks${\u{\lrcorner}}$ with the two types of eight trigrams, they are said to be a term of Ha-Lak-Hui-Mun (HLHM). Each of HLHM represents the process of creating and changing of 'heaven and Earth' and every beingby the symbols of numbers and trigrams. In other words, each of HLHM symbolizes the origin and the structure of the universe as well as the birth of every life represented in the diagram of theosophany (福智學) or Kabbalah. HLHM are also regarded as the origin of l-ching or Book of Change. Hado produces Laks${\u{\lrcorner}}$ through the principle of yin-yang(陰陽). Laks${\u{\lrcorner}}$ produces a priori eight trigrams through the zigzag shapes which means Heaven and Earth are mutually responding. And a priori eight trigrams produce a posteriori eight trigrams through the triangle principle of connecting Heaven and Earth. In this process, Hado and a priori eight trigrams are respectively prior to Laks${\u{\lrcorner}}$ and a posteriori eight trigrams. HLHM represent fractal shape resembling the symbol of five on the center of Hado, or Hado itself. In the dynamic process of HLHM, a diagram of Circle, Quadrangle, and Triangle (CQT) is produced as follows: Circle, the symbol of 'infinify' or Heaven, represents the origin of life or birth. Hadois the symbol of creation. Quadrangle, the symbol of Earth, represents that Laks${\u{\lrcorner}}$is scattered into four directions of front, back, left, and rifht. Quadrangle, which is immovable, represents materiality. Triangle, being described from the eight trigrams, means the movements of the process of 'mutual inclusion' of Circle and Quadrangle. Triangle also means the process of harmonizing human beings with natural law.

Petrogeochemical Study on the Igneous Rocks of Southwestern Part of the Sangju Area (상주(尙州) 남서부(南西部)에 분포(分布)하는 화성암류(火成岩類)에 대(對)한 암석지화학적(岩石地化學的) 연구(硏究))

  • Choi, Bok Ryeol;Kim, Yong Jun
    • Economic and Environmental Geology
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    • v.23 no.3
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    • pp.329-342
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    • 1990
  • The purpose of this study is to clarify the nature of the differentiation and petrogenesis of igneous rocks in comparison with experimental results based on petrological and geochemical criteria. Study area is composed of the Precambrian granitic gneiss complex, Triassic meladiorite and biotite granodiorite, Jurassic biotite granite, and Cretaceous quartz porphyry. According to the data of EPMA, the clinopyroxene and orthopyroxene of meladiorite come under salite and hypersthene, respectively. Such results suggests that meladiorite is incipient differentiated products of basic magma under slow cooling condition. The petrochemical data of variation diagram of major element oxides vs. silica and of trace element oxide vs. silica, AMF triangle diagram and trace elements suggests that igneous rocks of study area are plutonic rocks belong to calc alkali rock series of the source of comagma intruded-emplaced in the order of meladiorite, biotite granodiorite and biotite granite by fractional crystallization of magma.

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An Analysis of Cultural Relics Location (문화유적의 공간적 입지 유형 분석)

  • Kim, Chang-Hwan;Bae, Sun-Hak
    • Journal of the Korean association of regional geographers
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    • v.12 no.5
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    • pp.583-594
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    • 2006
  • Relics are life traces of ancestors, and they are good data for giving an idea about space locations of that period. This study classifies relics according to their type, and for each classified group metrical analysis is carried out using GIS and triangle diagram. The criteria used for analysis of relics' locations are elevation, road accessibility and water accessibility. The analysis results show that every relic has its own distribution characteristics according to the time and the type. This means high possibility of approaching a geographical focus on relics distribution and location. While historical period was taking over prehistorical, relics locations moved from the points of great usage water supply possibility to the points of great traffic accessibility. Also, relics of the ruling class for each time period generally have good locations.

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Simulated Moving Bed(SMB) Chromatography Simulation for Loxoprofen Racemates Separation (록소프로펜 라세미체 분리를 위한 유사이동층 크로마토그래피의 전산모사)

  • Kim, In Ho;Song, Sung Moon
    • Korean Chemical Engineering Research
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    • v.49 no.5
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    • pp.623-627
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    • 2011
  • Simulated moving bed(SMB) chromatography was simulated for separating loxoprofen racemates. Aspen chromatography simulator was utilized with Henry's constants of loxoprofen racemates which were obtained by batch chromatography experiments. Raffinate stream concentrations as well as purities were calculated with various $m_2$ and $m_3$ values in the triangle diagram obtained from two Henry's constants 7.9 and 10.1. Purity values are high under the conditions that the $m_2-m^3$ coordinates are near the left central region in the diagram and feed flow rates are lower. Concentration profiles of raffinate and extract streams along SMB columns explain the purity change in the case of increasing the column numbers installed at SMB.

Free Vibration and Dynamic Response Analysis by Petrov-Galerkin Natural Element Method

  • Cho, Jin-Rae;Lee, Hong-Woo
    • Journal of Mechanical Science and Technology
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    • v.20 no.11
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    • pp.1881-1890
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    • 2006
  • In this paper, a Petrov-Galerkin natural element method (PG-NEM) based upon the natural neighbor concept is presented for the free vibration and dynamic response analyses of two-dimensional linear elastic structures. A problem domain is discretized with a finite number of nodes and the trial basis functions are defined with the help of the Voronoi diagram. Meanwhile, the test basis functions are supported by Delaunay triangles for the accurate and easy numerical integration with the conventional Gauss quadrature rule. The numerical accuracy and stability of the proposed method are verified through illustrative numerical tests.

Adaptation of Peirce's typology of signs to architectural design (퍼스 기호 유형론의 건축 디자인 적용 연구)

  • Hwang, Yeong-Sam;Park, Mi-Jin;Kim, Yeong-Hee
    • 기호학연구
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    • no.54
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    • pp.205-224
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    • 2018
  • This research is to investigate the way to combine Peirce's typology of signs with architectural design. A new diagram is suggested to ensure the continuity of Peirce's typology, by rearranging and reconstructing the well known inverted triangle diagram showing the structure of the typology. The new diagram is easier to understand the organization of the typology, by showing the linkages between sign types and their relationships with other types. A way to adapt the new diagram to architectural design for the purpose of representing typology as well as ensuring model growth as semiotic model for architectural design model. The new model is organized of three sign clusters, sinsign cluster, legisign cluster, and symbolic cluster. They are interrelated through successive inclusion and case inclustion. The new model is organized of threefold layers. The first layer is internal structure of each cluster. The second is interrelation between cluster. The third is mediation of symbolic cluster between sinsign cluster and legisign cluster. This paper investigate and demonstrate the possibility of adaptation of the new model in architectural design. It has been argued that the theoretical basis of sign typology is adaptable to architectural design by principle. More future research issues are discussed.

GALAXY SED FITTING FROM AKARI TO HERSCHEL: 0.7 < z < 4 SUB-MILLIMETER LYMAN BREAK GALAXIES IN INFRARED

  • Burgarella, D.;The PEP-HerMES-COSMOS team, The PEP-HerMES-COSMOS team
    • Publications of The Korean Astronomical Society
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    • v.27 no.4
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    • pp.311-316
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    • 2012
  • Lyman break Galaxies are galaxies selected in the rest-frame ultraviolet. But, one important and missing information for these Lyman break galaxies is the amount of dust attenuation. This is crucial to estimate the total star formation rate of this class of objects and, ultimately, the cosmic star formation density. AKARI, Spitzer and Herschel are therefore the major facilities that could provide us with this information. As part of the Herschel Multi-tiered Extragalactic Survey, we have began investigating the rest-frame far-infrared properties of a sample of more than 4,800 Lyman Break Galaxies in the GOODS-North fiels. Most LBGs are not detected individually, but we do detect a sub-sample of 12 objects at 0.7 < z <1.6 and one object at z = 2.0. The ones detected by Herschel SPIRE have redder observed NUV-U and U-R colors than the others, while the undetected ones have colors consistent with average LBGs at z > 2.5. We have analysed their UV-to-FIR spectral energy distributions using the code cigale to estimate their physical parameters. We find that LBGs detected by SPIRE are high mass, luminous infrared galaxies. They also appear to be located in a triangle-shaped region in the $A_{FUV}$ vs. $logL_{FUV}$ diagram limited by $A_{FUV}$ = 0 at the bottom and by a diagonal following the temporal evolution of the most massive galaxies from the bottom-right to the top-left of the diagram. In a second step, we move to the larger COSMOS field where we have been able to detect 80 Lyman break galaxies (out of ~ 15,600) in the far infrared. They form the largest sample of Lyman break galaxies at z > 2.5 detected in the far-infrared. We tentatively name them Submillimeter Lyman break galaxies (S-LBGs).

Development of 2.5 kW Class Propeller Type Micro Hydraulic Turbine (2.5 kW 급 프로펠러형 마이크로 수차 개발)

  • MA, SANG-BUM;KIM, SUNG;CHOI, YOUNG-SEOK;CHA, DONG-AN;KIM, JIN-HYUK
    • Transactions of the Korean hydrogen and new energy society
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    • v.31 no.3
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    • pp.314-321
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    • 2020
  • In this work, a preliminary design of an inlet guide vane and runner for developing a 2.5 kW hydraulic turbine was conducted by using computational fluid dynamic analysis. Three-dimensional Reynolds-averaged Navier-Stokes equations with shear stress transport turbulence model were used to analyze the fluid flow in the hydraulic turbine. The hexahedral grid system was used to construct computational domain, and the grid dependency test was performed to obtain the optimal grid system. Velocity triangle diagram considering the flow angles of the inlet guide vane and runner was analyzed to obtain a basic geometry of the inlet guide vane and runner. Through modification of the preliminary design, the hydraulic performances of the turbine have improved under overall drop conditions. Especially, the efficiency and power of the turbine increased by 0.95% and 1.45%, respectively, compared to those of the reference model.