• Title/Summary/Keyword: C2 Theory

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PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS IN CLIFFORD ANALYSIS

  • Lim, Su Jin;Shon, Kwang Ho
    • East Asian mathematical journal
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    • v.28 no.5
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    • pp.553-559
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    • 2012
  • The noncommutative extension of the complex numbers for the four dimensional real space is a quaternion. R. Fueter, C. A. Deavours and A. Subdery have developed a theory of quaternion analysis. M. Naser and K. N$\hat{o}$no have given several results for integral formulas of hyperholomorphic functions in Clifford analysis. We research the properties of hyperholomorphic functions on $\mathbb{C}^2{\times}\mathbb{C}^2$.

Thermal Behavior of Critical Micelle Concentration from the Standpoint of Flory-Huggins Model

  • Lim, Kyung-Hee
    • Bulletin of the Korean Chemical Society
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    • v.30 no.9
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    • pp.2001-2006
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    • 2009
  • Temperature dependence of the critical micelle concentration (CMC), $x_{CMC}$, in micellization can be described by ln $x_{CMC}$ = A + BT + C lnT + D/T, which has been derived statistical-mechanically. Here A, B, C, and D are fitting parameters. The equation fits the CMC data better than conventionally used polynomial equations of temperature. Moreover, it yields the unique(exponent) value of 2 when the CMC is expressed in a power-law form. This finding is quite significant, because it may point to the universality of the thermal behavior of CMC. Hence, in this article, the nature of the equation ln $x_{CMC}$ = A + BT + C lnT + D/T is examined from a lattice-theory point of view through the Flory-Huggins model. It is found that a linear behavior of heat capacity change of micellization is responsible for the CMC equation of temperature.

Coincidences of composites of u.s.c. maps on h-spaces and applications

  • Park, Seh-Ie;Kim, Hoon-Joo
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.251-264
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    • 1995
  • Applications of the classical Knaster-Kuratowski-Mazurkiewicz (si-mply, KKM) theorem and the fixed point theory of multifunctions defined on convex subsets of topological vector spaces have been greatly improved by adopting the concept of convex spaces due to Lassonde [L1]. In this direction, the first author [P5] found that certain coincidence theorems on a large class of composites of upper semicontinuous multifunctions imply many fundamental results in the KKM theory.

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A Study on the Stream Lines Calculation around a Ship's Hull (선체주위(船體周圍)의 유선계산법(流線計算法)에 관(關)한 연구(硏究))

  • K.J.,Cho;S.W.,Hong;C.W.,Park
    • Bulletin of the Society of Naval Architects of Korea
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    • v.14 no.2
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    • pp.1-9
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    • 1977
  • Streamlines around a ship's hull can be calculated by using streamline tracing method replacing the ship section with distribution of singularity. The influence of frame lines on the stream surrounding a hull surface, however, can not be found. Jinnaka studied on streamlines for Lewis form by applying the slender body theory. The influence of frame lines on stream surrounding a hull surface is well found in Jinnaka's method. In this paper streamline calculation method for chine type has been developed by using conformal transformation and applying slender body theory as Jinnaka did. Three kinds of model-one of series 62 for chine type, V.L.C.C. and high speed craft built in Korea for Lewis form-were used for streamline calculation;

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Optimized Structural and Colorimetrical Modeling of Yarn-Dyed Woven Fabrics Based on the Kubelka-Munk Theory (Kubelka-Munk이론에 기반한 사염직물의 최적화된 구조-색채모델링)

  • Chae, Youngjoo
    • Journal of the Korean Society of Clothing and Textiles
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    • v.42 no.3
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    • pp.503-515
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    • 2018
  • In this research, the three-dimensional structural and colorimetrical modeling of yarn-dyed woven fabrics was conducted based on the Kubelka-Munk theory (K-M theory) for their accurate color predictions. In the K-M theory for textile color formulation, the absorption and scattering coefficients, denoted K and S, respectively, of a colored fabric are represented using those of the individual colorants or color components used. One-hundred forty woven fabric samples were produced in a wide range of structures and colors using red, yellow, green, and blue yarns. Through the optimization of previous two-dimensional color prediction models by considering the key three-dimensional structural parameters of woven fabrics, three three-dimensional K/S-based color prediction models, that is, linear K/S, linear log K/S, and exponential K/S models, were developed. To evaluate the performance of the three-dimensional color prediction models, the color differences, ${\Delta}L^*$, ${\Delta}C^*$, ${\Delta}h^{\circ}$, and ${\Delta}E_{CMC(2:1)}$, between the predicted and the measured colors of the samples were calculated as error values and then compared with those of previous two-dimensional models. As a result, three-dimensional models have proved to be of substantially higher predictive accuracy than two-dimensional models in all lightness, chroma, and hue predictions with much lower ${\Delta}L^*$, ${\Delta}C^*$, ${\Delta}h^{\circ}$, and the resultant ${\Delta}E_{CMC(2:1)}$ values.

Non-ethic Behavior and the Process of Adaptation of Used Market Site: An Approach Based on Grounded Theory (아나바다 사이트 참여자의 비윤리적 행동과 반응양식 : 근거이론적 접근)

  • Nam, Su-Jung;Yoo, Hyun-Jung
    • Journal of the Korean Home Economics Association
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    • v.44 no.12
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    • pp.189-201
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    • 2006
  • The purpose of this study was to explore consumers' experiences in one used market site. For this purpose, in-depth interviews were conducted for the 8 consumers who were members of the used market site. In the study methodology, the grounded theory designed by Strauss and Corbin was utilized. From the analysis results, 23 subcategories and 11 categories were created. In the axial coding, the following paradigm model was proposed: 1) the casual conditions were "the pond of information" and "underground market," 2) the contextual conditions were "inconsistent behavior" and "error of communication", 3) the central phenomenon was "non-ethic behavior of seller/buyer, 4) the intervening conditions were "induction of intimacy", "use of patronage", and "creation of network", 5) the action/interaction strategy was "being shrewd", and 6) the consequence was "adaptation/non-adaptation". In selective coding, the core category was "to adapt of non-ethic behaviors through being shrewd." Based on the core category, the following four types of process of adaptation of the used market site were found: "A selfish addict," "An advanced utilitarian", "A hard philosopher," and "A cynical dropout".

Development of Continuum Equations and Finite Element Method Program for Composite Systems (복합체에 대한 연속체 방정식 및 유한요소 프로그램의 개발)

  • Lim, Chong Kyun;Park, Moon Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.155-166
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    • 1988
  • An "equivalent homogeneous, orthotropic" model that includes edge effects and an accompanying finite element analysis is presented for elastomeric bearings. The model is developed for two-dimensional configurations with horizontal layers, and for linear, elastic, small deformation conditions. The equivalent homogeneous theory, in addition to capturing the overall response characteristics of the layered elastomeric bearing system, approximately models the important edge effects, which occur at and near boundaries that cut the layers, and the stress concentrations at layer interfaces. The primary dependent variables for the theory have been selected such that the highest derivatives appearing in the strain energy function are first-order, thus requiring only $C_0$ continuity of the finite element approximations. As a result, the finite element analysis is simple and computationally efficient. Numerical examples are presented to verify the theory and to illustrate potential applications of the analysis.

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Contribution of van der Waals Interactions to the Adsorption Energy of $C_2H_2$, $C_2H_4$, and $C_6H_6$ on Si(100)

  • Kim, Seon-U;Lee, Jun-Ho;Jo, Jun-Hyeong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.269-269
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    • 2013
  • Usingvan der Waals (vdW) energy-corrected density-functional theory without or with self-consistent screening (SCS) effects, we calculate the adsorption energy of acetylene, ethylene and benzene on Si(100). We find that vdW interactions without SCS effects increase the adsorption energy by 0.23, 0.30, and 0.64 eV for adsorbed $C_2H_2$, $C_2H_4$, and $C_6H_6$ on Si(100), respectively. However, if SCS effects are included, this increase of the adsorption energy is reduced as 0.19, 0.24, and 0.54 eV for the three adsorption systems, respectively. The resulting adsorption energy for each system is between the values computed using the local-density approximation and the generalized-gradient approximation.

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