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Rose solutions with three petals for planar 4-body problems

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Science china mathematics 2010年第12期53卷 3085-3094页

作者： DENG ChunHua 1,2., ZHANG ShiQing 1, & ZHOU Qing 3 1 Yangtze Center of mathematics and College of mathematics, {2. University, chengdu 610064, china 2.Faculty of mathematics and Physics, Huaiyin Institute of Technology, Huai’an 2.3001, china 3 department of mathematics, East china Normal University, Shanghai 2.0062. china 1. Yangtze Center of mathematics and College of mathematics Sichuan University Chengdu 610064 China2. Faculty of Mathematics and Physics Huaiyin Institute of Technology Huai’an 223001 China3. Department of Mathematics East China Normal University Shanghai 200062 China

For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three pet... 详细信息

关键词： 4-body problems with Newtonian potentials rose solutions with three petals winding numbers variational minimization methods

Nonlinear Analysis on Vertical Distribution of Suspended Load

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Communications in Nonlinear Science and Numerical Simulation 1998年第2期3卷 19-23页

作者： Fuquan WANG, Houqiang LI and Jing DING (sichuan union University,{2.,610064,china) sichuan union University Chengdu 610064 China

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ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｉｅｓｏｎｖｅｒｔｉｃａｌｄｉｓｔｒｉｂｕｔｉｏｎｏｆｓｅｄｉｍｅｎｔｉｎｎａｔｕｒａｌｒｉｖｅｒｓｈａｖｅｉｍｐｏｒｔａｎｔｔｈｅｏｒｅｔｉｃａｌｍｅａｎｉｎｇｓａｎｄｅｎｇｉｎｅｒｉｎｇａｐｐｌｉｃａｔｉｏ...

关键词： turbulence fractal sediment vertical distribution

Uniform estimate for maximum of randomly weighted sums with applications to insurance risk theory

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Science china mathematics 2005年第10期48卷 1379-1394页

作者： WANG Dingcheng~1 SU Chun~2.& ZENG Yong~1 1. School of Management and School of Applied mathematics,University of Electronic Science and Technology of china,{2. 610054,china 2. department of Statistics and Finance,University of Science and Technology of china,Hefei 2.002.,china 1. School of Management and School of Applied mathematics University of Electronic Science and Technology of China 610054 Chengdu China 2. department of Statistics and Finance University of Science and Technology of China 230026 Hefei China

This paper obtains the uniform estimate for maximum of sums of independent and heavy-tailed random variables with nonnegative random weights, which can be arbitrarily dependent of each other. Then the applications to ... 详细信息

关键词： dependent stochastic return, discount factor, heavy-tails, discrete time insurance risk model, maxima of randomly weighted sums, ruin probability, tail probabilities, uniformly asymptotic estimate.

Two-dimensional water-filling power allocation algorithm for MIMO-OFDM systems

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Science china(Information Sciences) 2010年第6期53卷 1242-1250页

作者： JIANG YongQuan 1 , SHEN MinFen 1 & ZHOU YuanPing 2.1 department of Electronic Engineering, Shantou University, Shantou 515063, china 2.department of Electronic Engineering, sichuan University, chengdu 610064, china 1. department of Electronic Engineering Shantou University Shantou 515063 China2. Department of Electronic Engineering Sichuan University Chengdu 610064 China

Departing from the narrowband channel model, more and more researchers have recently considered the application of multiple-input multiple-output(MIMO) systems over frequency-selective fading channels in combination with the orthogonal frequency-division multiplexing(OFDM) *** this paper, we focus on the capacity of MIMO-OFDM systems and how to increase the *** has been proved that the capacity of a MIMO system with space-dimensional water-filling power allocation is greater than that of the system with uniform power *** MIMO-OFDM systems, there is an additional degree of freedom to allocate power with respect to MIMO systems:the OFDM sub-channels in *** the singular value decomposition(SVD) applied to the channel frequency response matrix, the two-dimensional water-filling power allocation algorithm for MIMO-OFDM systems is proposed based on the Lagrange method, and the corresponding capacity analysis formula is *** results show that the capacity of a MIMO-OFDM system with the proposed two-dimensional water-filling power allocation is greater than that of the system with uniform power allocation and also greater than that of the system with the one-dimensional water-filling power allocation.

关键词： MIMO-OFDM two-dimensional water-filling power allocation capacity analysis singular value decomposition(SVD)

THE ACTION OF THE LINEAR CHARACTERGROUP ON THE SET OF NON-LINEARIRREDUCIBLE CHARACTERSTHE ACTION OF THE LINEAR CHARACTERGROUP ON THE SET OF NON-LINEARIRREDUCIBLE CHARACTERS

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Chinese Annals of mathematics,Series B 2000年第4期21卷 511-524页

作者： RENYONGCAI LIXIANGYANG departmentofmathematics SichuanUniversityChengdu610064China. departmentofBasicSciences ChengduInstituteofMeteorologyChengdu610041China.

Let G be a nonabelian finite group. Then Irr(G/G’) is an abelian group under the multiplication of characters and acts on the set of non-linear irreducible characters of G via the multiplication of characters. The purpose of this paper is to establish some facts about the action of linear character group on non-linear irreducible characters and determine the structures of groups G for which either all the orbit kernels are trivial or the number of orbits is at most two. Using the established results on this action, it is very easy to classify groups G having at most three non-linear irreducible characters.

关键词： Finite group Character Action Orbit

γ-Hydroxy-α,β-acetylenic esters:asymmetric syntheses and applications

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Science china Chemistry 2010年第1期53卷 21-35页

作者： GAO Ge1 & PU Lin2.1department of Chemistry,sichuan University,{2. 610064,china 2.0} of Chemistry,University of Virginia,Charlottesville,Virginia 2.904-4319,USA 1. department of Chemistry Sichuan University Chengdu 610064 China2. Department of Chemistry University of Virginia Charlottesville Virginia 22904-4319 USA

γ-Hydroxy-α,β-acetylenic esters are versatile synthetic precursors to many organic *** paper reviews the synthesis of chiral γ-hydroxy-α,β-acetylenic esters by asymmetric reduction of γ-oxo-α,β-acetylenic esters,enantioselective addition to aldehydes in the presence of chiral catalysts,and diastereoselective addition to chiral *** preparation of racemic γ-hydroxy-α,β-acetylenic esters is also *** are provided for the application of γ-hydroxy-α,β-acetylenic esters in organic synthesis.

关键词： γ-hydroxy-α β-acetylenic ester asymmetric enantioselective diastereoselective

Strongly Zero-Dimensional Locales

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Acta Mathematica Sinica,English Series 2002年第1期18卷 47-54页

作者： KOU Hui LUO Mao Kang department of mathematics. {2. University, chengdu 610064. P. R. china department of mathematics Sichuan University Chengdu P. R. China

New kinds of strongly zero-dimensional locales are introduced and characterized, which are different from Johnstone's, and almost all the topological properties for strongly zero-dimensional spaces have the pointloss localic forms. Particularly. the Stone-Cech compactification of a strongly zero-diluensional locale is stongly zero-dimensional.

关键词： Locale Strongly zero-dimensional Compactification

Toeplitz Operators on Dirichlet Spaces

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Acta Mathematica Sinica,English Series 2001年第4期17卷 643-648页

作者： Yu Feng LU Shun Hua SUN department of Applied mathematics, Dalian University of Technology, Dalian 11602., P. R.{2. department of mathematics, sichuan University, chengdu 610064, P. R.{2. department of mathematics, sichuan University, chengdu 610064, P. R.{2. department of Applied mathematics Dalian University of Technology Dalian 116024 P. R. China department of mathematics Sichuan University Chengdu 610064 P. R. China

In this paper we study Toeplitz operators on Dirichlet spaces and describe the boundedness and compactness of Toeplitz operators on Dirichlet spaces. Meanwhile, we give density theorems for Toeplitz operators on Diric... 详细信息

关键词： Dirichlet space Toeplitz operator Compact operator Strong operator topology

A Method for Obtaining Three-dimensional Images with Visual Reality of Real Objects

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Chinese Journal of Lasers 1999年第5期8卷 425-430页

作者： HUANG Qiong SU Xianyu(department of Opto-electronics, sichuan University,{2., china) 四川大学光电子系四川成都 610064 四川大学光电子系四川成都

A new method to remove the shadows in laser triangulation and a computer model for three-dimensional images with visual reality of three-dimensional diffuse objects are presented. The methods for acquiring color data in optical three-dimensional sensing are discussed A method for obtaining three-dimensional images with visual reality of real objects is presented The principles, the system structure and the experimental results are provided.

关键词： three-dimensional sensing laser triangulation shadow three-dimensional images with visual reality