• 제목/요약/키워드: Complex field

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THE JACOBI OPERATOR OF REAL HYPERSURFACES IN A COMPLEX SPACE FORM

  • Ki, U-Hang;Kim, He-Jin;Lee, An-Aye
    • 대한수학회논문집
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    • 제13권3호
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    • pp.545-560
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    • 1998
  • Let ø and A be denoted by the structure tensor field of type (1,1) and by the shape operator of a real hypersurface in a complex space form $M_{n}$ (c), c $\neq$ 0 respectively. The main purpose of this paper is to prove that if a real hypersurface in $M_{n}$ (c) satisfies $R_{ξ}$ øA = $AøR_{ξ}$, then the structure vector field ξ is principal, where $R_{ξ}$ / is the Jacobi operator with respect to ξ.

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GENERATION OF RAY CLASS FIELDS MODULO 2, 3, 4 OR 6 BY USING THE WEBER FUNCTION

  • Jung, Ho Yun;Koo, Ja Kyung;Shin, Dong Hwa
    • 대한수학회지
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    • 제55권2호
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    • pp.343-372
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    • 2018
  • Let K be an imaginary quadratic field with ring of integers ${\mathcal{O}}_K$. Let E be an elliptic curve with complex multiplication by ${\mathcal{O}}_K$, and let $h_E$ be the Weber function on E. Let $N{\in}\{2,3,4,6\}$. We show that $h_E$ alone when evaluated at a certain N-torsion point on E generates the ray class field of K modulo $N{\mathcal{O}}_K$. This would be a partial answer to the question raised by Hasse and Ramachandra.

Optimization of the Mixing Flow in an Agitated Tank

  • Yoo, Dal-Hyun;Yang, Si-Young;Choi, Youn-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.151-157
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    • 2005
  • In the chemical, mineral and electronics industries, mechanically stirred tanks are widely used for complex liquid and particle mixing processes. In order to understand the complex phenomena that occur in such tanks, it is necessary to investigate flow field in the vessel. Most difficulty on the numerical analysis of stirred tank flow field focused particularly on free surface analysis. In order to decrease the dead zone and improve the flow efficiency of a system with free surface, this paper presents a new method that overcomes free surface effects by properly combining the benefits of using experiment and 3-D CFD. This method is applied to study the mixing flow in an agitated tank. From the results of experimental studies using the PIV (particle image velocimetry) system, the distribution of mixing flow including free surface are obtained. And these values that are expressed as a velocity vector field have been patched for simulating the free surface. The results of velocity distribution obtained by 3-D CFD are compared with those of experimental results. The experimental data and the simulation results are in good agreement.

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VNURBS기반의 다차원 불균질 볼륨 객체의 표현: 개념 및 형성 (Volumetric NURBS Representation of Multidimensional and Heterogeneous Objects: Concepts and Formation)

  • 박상근
    • 한국CDE학회논문집
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    • 제10권5호
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    • pp.303-313
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    • 2005
  • This paper proposes a generalized NURBS model, called Volumetric NURBS or VNURBS for representing volumetric objects with multiple attributes embedded in multidimensional space. This model provides a mathematical framework for modeling complex structure of heterogeneous objects and analyzing inside of objects to discover features that are directly inaccessible, for deeper understanding of complex field configurations. The defining procedure of VNURBS, which explains two directional extensions of NURBS, shows VNURBS is a generalized volume function not depending on the domain and its range dimensionality. And the recursive a1gorithm for VNURBS derivatives is described as a computational basis for efficient and robust volume modeling. In addition, the specialized versions of VNURBS demonstrate that VNURBS is applicable to various applications such as geometric modeling, volume rendering, and physical field modeling.

HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE PARALLEL NORMAL JACOBI OPERATOR

  • Jeong, Im-Soon;Lee, Hyun-Jin;Suh, Young-Jin
    • 대한수학회보
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    • 제48권2호
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    • pp.427-444
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    • 2011
  • In this paper we give some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian $G_2(\mathbb{C}^{m+2})$ with Lie parallel normal Jacobi operator $\bar{R}_N$ and totally geodesic D and $D^{\bot}$ components of the Reeb flow.

An Overall Review of the Research on the Complex Information Systems Technology Acceptance Model

  • Zhao, Kun
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 2007년도 춘계학술대회
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    • pp.174-180
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    • 2007
  • This paper provides an overview of the development and progress of research on information technology acceptance model, and tries to figure out the importance of this research to the development of information theories and its applications. Focused on the detailed discuss on the research on complex information systems, this paper tempts to outline directions for research on this field.

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Variation of the Relaxation Time for NiCuZn Ferrites with Magnetic Properties

  • Nam, Joong-Hee;Oh, Jae-Hee
    • Journal of Magnetics
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    • 제1권1호
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    • pp.37-41
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    • 1996
  • The frequency dependence of complex permeability for various NiCuZn ferrites was investigated. The variation of complex permeability for NiCuZn ferrites can be presented as a form of a semi-circle, so called the Cole-Cole plot, and the relaxation phenomena were explained with various shapes of the plots. The relaxation time $\Upsilon$ was calculated from $f_rx$, which is a relaxation frequency at ${\mu"}_{max}$. Relations between anisotropy field $H_A$ and relaxation time $\Upsilon$, initial permeability $\mu_i$ and $H_A$ were plotted to identify the frequency dependence of complex permeability.lity.

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