• Title/Summary/Keyword: Symmetry point

검색결과 136건 처리시간 0.024초

EXAMPLES OF SIMPLY REDUCIBLE GROUPS

  • Luan, Yongzhi
    • 대한수학회지
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    • 제57권5호
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    • pp.1187-1237
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    • 2020
  • Simply reducible groups are important in physics and chemistry, which contain some of the important groups in condensed matter physics and crystal symmetry. By studying the group structures and irreducible representations, we find some new examples of simply reducible groups, namely, dihedral groups, some point groups, some dicyclic groups, generalized quaternion groups, Heisenberg groups over prime field of characteristic 2, some Clifford groups, and some Coxeter groups. We give the precise decompositions of product of irreducible characters of dihedral groups, Heisenberg groups, and some Coxeter groups, giving the Clebsch-Gordan coefficients for these groups. To verify some of our results, we use the computer algebra systems GAP and SAGE to construct and get the character tables of some examples.

Theoretical Consideration on Influences of Cavity or Pillar Shape on Band Structures of Silicon-Based Photonic Crystals

  • Ogawa, Yoshifumi;Tamura, Issei;Omura, Yasuhisa;Iida, Yukio
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제7권1호
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    • pp.56-65
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    • 2007
  • This paper describes physical meanings of various influences of cavity (or pillar) shape and filling factor of dielectric material on band structures in two-dimensional photonic crystals. Influences of circular and rectangular cross-sections of cavity (or pillar) arrays on photonic band structures are considered theoretically, and significant aspects of square and triangular lattices are compared. It is shown that both averaged dielectric constant of the photonic crystal and distribution profile of photon energy play important roles in designing optical properties. For the triangular lattice, especially, it is shown that cavity array with a rectangular cross-section breaks the band structure symmetry. So, we discuss this point from the band structure and address optical properties of lattice with a circular cross-section cavity.

두 개의 링-공진기로 구성된 Balun-BPF의 설계 (The Design of Balun-BPF with Double Ring-Resonators)

  • 강성준;황희용
    • 한국전자파학회논문지
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    • 제19권8호
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    • pp.878-883
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    • 2008
  • 본 논문에서는 평형 출력단간 출력 특성을 향상시키기 위하여 두 개의 링-공진기를 이용한 Balun-BPF의 구조를 제안한다. 기존의 Balun-BPF는 출력 포트의 대칭성 및 선택도의 측면에서 문제를 가지고 있었다. 기존 구조의 문제점을 해결하기 위한 두 개의 링-공진기의 적절한 커플링 위치를 제시한다. 제작된 Balun-BPF는 선택도가 향상되었고, 대칭적인 감쇄극 특성을 보였다.

A BIFURCATION ANALYSIS FOR RADIALLY SYMMETRIC ENERGY MINIMIZING MAPS ON ANNULUS

  • Chi, Dong-Pyo;Park, Gie-Hyun
    • 대한수학회논문집
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    • 제9권2호
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    • pp.355-359
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    • 1994
  • It would be interesting to know if energy minimizing harmonic maps between manifolds have symmetric properties when the manifolds under consideration have some. In this paper, we consider among others radial symmetry. A radially symmetric manifold M of dimension m is the one with a point, called a pole, and an O(m) action as an isometric rotation with respect to the pole, or more precisely a radially symmetric manifold M has a coordinate on which the metric is of the form $ds_{M}$$^2$ = d$r^2$ + m(r)$^2$d$\theta^2$ for some function m(r) depending only on r. Of course m(0) = 0, m'(0) = 1, and when m(r) = r, (M, $ds_{ M}$/$^2$) is the Euclidean space $R^2$.(omitted)

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안면신경 마비의 전기생리학적 검사 및 물리치료 (Electrophysiologic Examination and Physiotherapy for Facial Nerve Palsy)

  • 류재관;김종순
    • 대한물리치료과학회지
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    • 제4권3호
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    • pp.499-509
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    • 1997
  • The facial nerve have a long pathway. Thus facial nerve fibers easily involved at any point along their course will lead to a facial palsy of lower motor neuron type and upper motor neuron type. The electrophysiologic examination can evaluate and anticipating that prognosis of facial nerve palsy. The electrophysiologic examination are Nerve Excitability Test(NET), Elecctroneurography(ENG), Electro-myography(EMG), Blink Reflex, and Electrogustometry et.al. The NET is very useful method for assessment of prognosis and distinguish between nerve degeneration and physiological block as early as 72 hour after onset of the facial palsy. And other examination also give objectively information of facial nerve for prognosis and treatment. Treatment goal of physiotherapy are prevent contracture and disuse atrophy of facial muscle with muscle reeducation and strengthening and maintain symmetry facial motion. The treatment better start as early as possible.

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Advanced aerostatic stability analysis of suspension bridges

  • Xiao, Ru-Cheng;Cheng, Jin
    • Wind and Structures
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    • 제7권1호
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    • pp.55-70
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    • 2004
  • Aerostatic instability of a suspension bridge may suddenly appears when the deformed shape of the structure produces an increase in the value of the three components of displacement-dependent wind loads distributed in the structure. This paper investigates the aerostatic stability of suspension bridges using an advanced nonlinear method based on the concept of limit point instability. Particular attention is devoted to aerostatic stability analysis of symmetrical suspension bridges. A long-span symmetrical suspension bridge (Hu Men Bridge) with a main span of 888 m is chosen for analysis. It is found that the initial configuration (symmetry or asymmetry) may affect the instability configuration of structure. A finite element software for the nonlinear aerostatic stability analysis of cable-supported bridges (NASAB) is presented and discussed. The aerostatic failure mechanism of suspension bridges is also explained by tracing aerostatic instability path.

THE FAST TRUNCATED LAGRANGE METHOD FOR IMAGE DEBLURRING WITH ANTIREFLECTIVE BOUNDARY CONDITIONS

  • Oh, SeYoung;Kwon, SunJoo
    • 충청수학회지
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    • 제31권1호
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    • pp.137-149
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    • 2018
  • In this paper, under the assumption of the symmetry point spread function, antireflective boundary conditions(AR-BCs) are considered in connection with the fast truncated Lagrange(FTL) method. The FTL method is proposed as an image restoration method for large-scale ill-conditioned BTTB(block Toeplitz with Toeplitz block) and BTHHTB(block Toeplitz-plus-Hankel matrix with Toeplitz-plus-Hankel blocks) linear systems([13, 17]). The implementation and efficiency of the FTL method in the AR-BCs are further illustrated. Especially, by employing the AR-BCs, both the continuity of the image and the continuity of its normal derivative are preserved at the boundary. A reconstructed image with less artifacts at the boundary is obtained as a result.

Triclinic, Monoclinic 및 Orthorhombic Systems에서 Phase Angle 0 또는 $\pi$를 갖는 3종류의 Reflections (Three Kinds of Reflections with Phase Angle 0 or $\pi$ In Triclinic, Monoclinic and Orthorhombic Systems)

  • Kim, Young-Sang;Jaejung Ko;Kang, Sang-Ook;Lee, Young-Joo;Eugene Kang;Shu, Il-Hwang
    • 한국결정학회지
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    • 제14권1호
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    • pp.13-15
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    • 2003
  • For all primitive centric space groups in the triclinic, monoclinic and orthorhombic systems, either phase 0 or π can be allocated to three different kinds of reflections in order to specify the origin at one of the eight centers of symmetry. and the same holds for all primitive acentric space groups belonging to the point group 222. If these phased reflections are used as a basic set, more and more phased reflections with better accuracy could emerge in the process of direct methods.

Zn4GeSe6:Co2+ 단결정의 광학적 특성 (Optical Properties of Zn4GeSe6:Co2+ Single Crystals)

  • 김형곤;김남오;최영일;김덕태;김창주
    • 한국전기전자재료학회논문지
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    • 제16권4호
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    • pp.272-279
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    • 2003
  • In this work Zn$_4$GeSe$_{6}$ :CO$^{2+}$ single crystals were grown by the chemical transport reaction method in which the iodine was used as the transporting agent. The Zn$_4$GeSe$_{6}$ :CO$^{2+}$ single crystal was found to have a monoclinic structure. The optical absorption spectra of grown crystals were investigated using a temperature-controlled UV-VIS -NIR spectrophotometer. The temperature dependence of band-edge absorption was in a good agreement with the Varshni equation. The observed impurity absorption peaks could be explained as arising from the electron transition between energy levels of Co$^{2+}$ ion sited at the T$_{d}$ symmetry point.

계산속도와 하드웨어 양이 조절 용이한 FFT Array Processor 시스템 (FFT Array Processor System with Easily Adjustable Computation speed and Hardware Complexity)

  • Jae Hee Yoo
    • 전자공학회논문지A
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    • 제30A권3호
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    • pp.114-129
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    • 1993
  • A FFT array processor algorithm and architecture which anc use a minumum required number of simple, duplicate multiplier-adder processing elements according to various computation speed, will be presented. It is based on the p fold symmetry in the radix p constant geometry FFT butterfly stage with shuffled inputs and normally ordered outputs. Also, a methodology to implement a high performance high radix FFT with VLSI by constructing a high radix processing element with the duplications of a simple lower radix processing element will be discussed. Various performances and the trade-off between computation speed and hardware complexity will be evaluated and compared. Bases on the presented architecture, a radix 2, 8 point FFT processing element chip has been designed and it structure and the results will be discusses.

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