Symmetry Structure Research of Complex Community from Disconnection Vertexes Perspective

2019 ◽  
Author(s):  
Duo Zhai ◽  
Jing Shan ◽  
Jiaying Wang ◽  
Mingyang Shao ◽  
Jianzhao Cao
Keyword(s):  
Symmetry Structure ◽  
Structure Research

scholarly journals $q$ -Racah Ensemble and Discrete Painlevé Equation

2019 ◽  
Vol 2020 (24) ◽  
pp. 9797-9843 ◽  
Author(s):  
Anton Dzhamay ◽  
Alisa Knizel
Keyword(s):  
Orthogonal Polynomial ◽  
Lax Pair ◽  
Painlevé Equations ◽  
Painlevé Equation ◽  
Painleve Equations ◽  
Symmetry Structure ◽  
The One ◽  
The Relationship ◽  
Gap Probabilities ◽  
Discrete Painlevé Equation

Abstract The goal of this paper is to investigate the missing part of the story about the relationship between the orthogonal polynomial ensembles and Painlevé equations. Namely, we consider the $q$-Racah polynomial ensemble and show that the one-interval gap probabilities in this case can be expressed through a solution of the discrete $q$-P$\left (E_7^{(1)}/A_{1}^{(1)}\right )$ equation. Our approach also gives a new Lax pair for this equation. This Lax pair has an interesting additional involutive symmetry structure.

The database BIOSCAT: a tool for structure research by scattering and hydrodynamic methods

1992 ◽  
Vol 25 (6) ◽  
pp. 803-806 ◽  
Author(s):  
J. J. Müller ◽  
H. Pankow ◽  
B. Poppe ◽  
G. Damaschun
Keyword(s):  
Structure Research

Isospin and Symmetry Structure in 36 Ar

2007 ◽  
Vol 48 (6) ◽  
pp. 1067-1071 ◽  
Author(s):  
Bai Hong-Bo ◽  
Zhang Jin-Fu ◽  
Cao Wan-Cang ◽  
Lü Li-Jun ◽  
Zhaorigt ◽  
...  
Keyword(s):  
Symmetry Structure

Reconstructed Structure of SiO2/Si(111) Interface

1990 ◽  
Vol 208 ◽  
Author(s):  
Ichiro Hirosawa ◽  
Jun'ichiro Nizuki ◽  
Toru Tatsumi ◽  
Koichi Akimoto ◽  
Junji Matsui
Keyword(s):  
Molecular Beam ◽  
Structural Model ◽  
Oxidation Process ◽  
Grazing Incidence ◽  
Interface Structure ◽  
X Ray Diffraction ◽  
Initial Oxidation ◽  
X Ray ◽  
Diffraction Geometry ◽  
Symmetry Structure

ABSTRACTIn order to investigate the initial oxidation process Qf the Si (111) surface, we have studied the molecular beam deposited Si0 2/Si(111)-7×7 interface structure using grazing incidence X-ray diffraction geometry. We suggest a three-fold symmetry structural model composed of stacking fault layer, dimer layer and additional ordered atoms. The three-fold symmetry structure comes from the preference for oxidation in the faulted half of the 7×7 structure.

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