• Title/Summary/Keyword: Cubic Form

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A study on derivation of root's formulas of cubic and quartic equation by method analogy (방법유추를 통한 3차와 4차 방정식의 근의 공식 유도)

  • Lyou, Ik-Seung;Shin, Hyun-Yong;Han, In-Ki
    • Communications of Mathematical Education
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    • v.22 no.4
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    • pp.505-514
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    • 2008
  • In this paper we study on derivation of formulas for roots of quadratic equation, cubic equation, and quartic equation through method analogy. Our argument is based on the norm form of polynomial. We also present some mathematical content knowledge related with main discussion of this article.

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A Study on the Synthesis and Properties of (Ba,Pb)$TiO_3$Powder by Modified Oxalate Process (Modified Oxalate Process에 의한 (Ba,Pb)$TiO_3$ 분말합성 및 특성에 관한 연구)

  • ;;;Y, Torii
    • Journal of the Korean Ceramic Society
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    • v.33 no.7
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    • pp.743-754
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    • 1996
  • In this study (Ba1-xPbx)TiO3 was synthesized by modified oxalate process in order to prevent vaporization of PbO through low temperature synthesis climinate Cl ion reproducibly substitute Pb for by and uniformly distribute ion (Ba1-xPbx)TiO3 was synthesized by coprecipitation of lead acetate barium acetate and ammonium titanyl oxalate have been used as starting materials. The substitution of Pb for Ba was reproducibly possible synthetic temperature of perovskite structure becomes lowed as the Pb concentration increases and fine partic-les (specific surface are :7.2 cm2/g) were obtained, BaTiO3 powders calcined at 90$0^{\circ}C$ for 3 hours were cubic from in XRD analysis and as Pb content was increases evident split of tetragonal peaks could be observed The optimum conditions to synthesize (Ba,Pb)TiO3 powder are the followings ; synthesis temperature (5$^{\circ}C$)

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A Computer Programming for the Analysis of Crystal Structures (결정 구조들의 해석을 위한 컴퓨터 프로그래밍)

  • Kim, Jin-Hui
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.3
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    • pp.872-878
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    • 2000
  • In this paper a computer programming for the expression of nearest neighbor atoms in face-centered cubic (FCC) and body-centered cubic (BCC) crystals was suggested as one of the approaches to understand each of the crystal structure. By using this computer programming the distance values between a reference atom and the nearest neighbor atoms, and the numbers of the nearest neighbor atoms were calculated ane compared for the FCC and BCC crystals. In this algorithm, the positions of the atoms in a crystal were defined as two categories: the corner atoms and face- or body-centered atoms, and considered respectively. For the same order of nearest neighbor atoms except the second order ones the distance values form the reference atom were smaller in the FCC crystals than those in the BCC. Also, the numbers of he first and third nearest neighbor atoms n the FCC crystals were larger than those in the BCC. This difference was explained by the comparison of each atomic packing ratio of the FCC and BCC crystals. The algorithm used in this programming can also be expanded to the analysis of other crystal structures.

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Reconstruction of missing response data for identification of higher modes

  • Shrikhande, Manish
    • Earthquakes and Structures
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    • v.2 no.4
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    • pp.323-336
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    • 2011
  • The problem of reconstruction of complete building response from a limited number of response measurements is considered. The response at the intermediate degrees of freedom is reconstructed by using piecewise cubic Hermite polynomial interpolation in time domain. The piecewise cubic Hermite polynomial interpolation is preferred over the spline interpolation due to its trend preserving character. It has been shown that factorization of response data in variable separable form via singular value decomposition can be used to derive the complete set of normal modes of the structural system. The time domain principal components can be used to derive empirical transfer functions from which the natural frequencies of the structural system can be identified by peak-picking technique. A reduced-rank approximation for the system flexibility matrix can be readily constructed from the identified mass-orthonormal mode shapes and natural frequencies.

Burning Rate Estimate Method of Solid Propellants at High Pressure Condition (고압에서 작동하는 고체 추진제 연소속도 추정 방법)

  • Choi, Hanyoung;Lee, Dongsun;Sung, Hong-Gye;Lee, Wonmin;Kim, Eunmi
    • Journal of the Korean Society of Propulsion Engineers
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    • v.26 no.1
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    • pp.28-37
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    • 2022
  • The burning rate estimation method of solid propellants, based on closed bomb tests, has been introduced. The composition of the combustion gas is determined by using CEA and the Noble-Abel equation of state for high pressure operation conditions. Covolume taking into account the collision among molecules due to the actual volume of the molecule is modeled by LJ potential. A cubic form function is applied to calculate the volume change of propellant grains during combustion. The estimated burning rates of five different grain configuation at high pressure are fairly compared with BRLCB results within the maximum error of 6%.

A Study on Minimal Characteristics of Korean Traditional Architecture (한국전통건축에서 나타나는 미니멀리즘적 특성에 관한 연구)

  • 배준현;권성진
    • Korean Institute of Interior Design Journal
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    • no.25
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    • pp.169-175
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    • 2000
  • Since the late 19th Century, modern architecture of definite figure and form shared similar concepts on space and from with the abstract art, pursuing the geometric purity and the abstraction. So the reductive approach had been taken in modern architecture as well as on modern art. The 1960 minimal art had experimented an extreme reduction with the cubic forms and the plane canvases, embodying so called minimal-art content, it was just another version of modernism art interpreted by the extreme reduction. The reduction is a characteristics of modernism adopted in every art field, including architecture. Not from the apparent, but from the essential quality of architectural form, figure and space resulting from the reductive approach, a building in this trend schould be judged and appreciated. In many aspects, Korean traditional architecture has been shown the characteristics of Minimal Architecture. With these points of view, this study analyzes characteristics of Korean traditional architecture with above contents through the form and space.

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A Study on Sensibility of Formative Properties in Clothing Design (의복디자인의 조형적 특성에 따른 감성연구)

  • 김유진;이경희
    • Journal of the Korean Society of Clothing and Textiles
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    • v.24 no.7
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    • pp.976-986
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    • 2000
  • The purpose of this study is to clarify the relationship between the visual sensibility and the decorative design of clothing. 41 kinds of costume samples have been selected from photographs in fashion magazines under detail and trimming, and divided into three types according to line, shape, and form. I have measured these images by using Semantic Differential method. The obtained data were analyzed by factor analysis ANOVA, discriminant analysis, regression analysis and MDS. The results of analysis are as follow; 1. Factor analysis has extracted five factors which consist of decorative design sensibility. These factors are Attractiveness, Hardness and Softness, Rhythm, Decorativeness, Cuteness. 2. There were significant differences in visual evaluation of decorative design and demographics 3. The discrimination among formative designs was closely related to decorative image, especially between line and form. 4. The Image effect on Preference, Buying needs, Riches and Pleasant was consist of complicated sensibility. 5. Evaluative dimensions of decorative design were identified by Simple-Complicated, Cubic -Plane perceptive image differed in degree of similarity in spite of same formative design.

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A study Grinding Characteristic of CBN Wheel (CBN 휠의 연삭특성에 관한 비교연구)

  • 안병민;원종호;김건희
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.04a
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    • pp.315-320
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    • 2001
  • Ultra-abrasives such as diamond and CBN have used to maintain accuracy and form deviation for superalloy etc. This study contains the dry cylindrical grinding of metals with Vitrified-bond CBN wheel and Resinoid-bond CBN wheel. For various condition of grinding speed, workpiece speed, grinding depth and feed speed of table, the grinding resistance, the surface roughness, and material removal are measured and discussed.

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형상보건을 이용한 유한요소 격자생성

  • Lee, Won-Yang;Choi, Young;Cho, Sung-Wook
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.298-302
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    • 1994
  • A three dimensional FE mesh generation scheme based on mapping approach is proposed in this study. A volume in Euclcdian space is represented by composite hyperpatches which are piecewise cubic functions with parameters u,v,w. A key idea in the proposed approach is that sampled grid data points only on the boundary surfaces are needed for the shape representation. Inner points which are necessary of form a hyperpatch are internally generated by Coons patches. This approach is most appropriate for the shapes which are compositions of hexahedron-like shapes and also severely curved.

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A Study on the Clothing Design through the Application of the Formative Aesthetic of Human Body (인체의 조형미를 응용한 의상디자인 연구 -인체 조각을 중심으로 -)

  • 김정신
    • Journal of the Korean Society of Costume
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    • v.51 no.3
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    • pp.111-127
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    • 2001
  • This study aims to apply the formative aesthetic of human body to the form of clothing. For this purpose I try to find the various methods of analysis used in the work of sculpture. The method of inference and the checklists of design are used to relate the sculpture with the clothing design specifically. This methodology intends to regard human body as an artistic form and use the image of sculpture to the maximum. Especially I try to derive the motives of design and recreate them in clothing design emphasizing silhouette. On this methodology, following results were developed. First, the observations on the formative characteristic of human body show that the transformed form of human body expresses more perfect image of human body than the original form. The power of simplicity heightens the total beauty of the work. Second, the image of human body expressed in simplicity heightens the total beauty of the work. Second, the image of human body expressed in simplicity and exaggeration can be variously recreated in a silhouette with the formative and cubic effect, simplicity, and activity. Third, the elegant and static image found in the analysis and synthesis of human body can be used as a motive of clothing design and the changed details lead to the transformation of silhouette. Fourth, in developing designs by the item of checklists, one motive can be variously recreated according to the methods of designs.

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