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Central limit theorem on noncompact Riemannian symmetric spaces of rank one

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Chinese Science Bulletin 1997年第15期42卷 1247-1250页

作者： zhu fuliu{2. of mathematics, wuhan university, wuhan 430072. China department of mathematics Wuhan University Wuhan China

IN 1994, Terras obtained the central limit theorem on Poincare upper half planeM=SL(2.R)/SO(2.. This is the first non-Euclidean central limit theorem on a noncompactRiemannian symmetric space. Based on the spherical Follrier transform, using the expressionsof the heat kernel obtained by Lohoue et al. , we establish in this note the non-Euclideancentral limit theorem on noncompact Riemannian symmetric spaces of rank one.

关键词： Riemannian symmetric space central limit theorem.

The Radon Transform on Tangent Space of Bounded Symmetric Domain SO~*(8)/U(4)

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wuhan university Journal of Natural Sciences 1997年第4期2卷 12-22页

作者： zhu fuliu department of mathematics, wuhan university, {2. 430072. China wuhan university Department of Mathematics Wuhan China (GRID:grid.49470.3e) (ISNI:***)

We study the Radon transform on the Cartan motion group associated with the bounded symmetric domain SO * (8)/U(4) , and prove that certain orbit of the regular elements is not the spectral synthesis set for th... 详细信息

关键词： radon transform hyperbolic equation spectral synthesis

Orientational Domains at Room Temperature in La_(0.33) Ca_(0.67) MnO_3 Perovskite

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wuhan university Journal of Natural Sciences 1999年第4期4卷 415-422页

作者： WANG Ren hui 1,2. ,GUI Jia nian 1,2. ,zhu Yi mei 2. , A. R. Moodenbaugh 2. 1. department of Physics,{2., wuhan 430072. China 2. department of Applied Science, Brookhaven National Laboratory, Upton, NY 11973 wuhan university Department of Physics Wuhan China (GRID:grid.49470.3e) (ISNI:***) Brookhaven National Laboratory Department of Applied Science Upton (GRID:grid.202665.5) (ISNI:***) Brookhaven National Laboratory Department of Applied Science Upton (GRID:grid.202665.5) (ISNI:***)

Orientational domains at room temperature in orthorhombic perovskite La 0.33 Ca 0.67 MnO 3 were studied by group theory and observed systematically using transmission electron microscopy. There are six orientational variants ( A, A', B,B', C and C' ) in orthorhombic perovskite La 0.33 Ca 0.67 MnO 3. Their orthorhombic b O directions are parallel to the a P, b P and c P directions of the cubic prototypic perovskite, respectively. In each case there are two orientational variants (e.g., A and A' ) with their a O and c O axes interchanged. Among the possible 15 boundaries between these 6 variants there are only two types of domain boundaries: (1) m boundaries C'/C, A'/A, and B'/B. (2. m boundaryies C'/A, C'/A', C'/B, C'/B', C/A, C/A', C/B, C/B', B'/A, B'/A', B/A, and B/A' .

关键词： domain domain boundary group theory transmission electron microscopy perovskite

Microscopic Calculation of Parameters of the sdg Interacting Boson Model for ^(104-110)Pd Isotopes

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Chinese journal of nuclear physics 1995年第3期17卷 194-199页

作者： Liu Yong~1 Shi zhu-yi~2.Dan Han-jou~3 Sang Jian-ping~41 Institute of Particle Physics,Huazhong Normal university,{2. 4300702.department of Physics,Guizhou Institute for Nationalities,Guiyang 55002.3 department of Physics,Xianning Teacher’s College,Xianning 4370004 department of Physics,{2. university,{2. 430072 华中师范大学粒子物理所湖北武汉贵州民族学院物理系贵州贵阳 550025 咸宁师范高等专科学校物理系湖北咸宁 437000 武汉大学物理系湖北武汉

The parameters of the sdg interacting boson model Hamiltonian are calculated for the 104-110*** calculations utilize the microscopic procedure based on the Dyson boson mapping proposedby Yang-Liu-Qi and extended to include the g boson *** calculated parameters reproduce thosevalues from the phenomenological *** resulting spectra are compared with the experimental spectra.

关键词： sdg interacting boson model Dyson boson mapping Microscopic investigation

ELECTRO-THERMAL EFFECTS AND DEFORMATION RESPONSE OF CARBON FIBER MAT CEMENT BEAMS

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Acta Mechanica Solida Sinica 2003年第4期16卷 359-365页

作者： zhu Sirong Li zhuoqiu Song Xianhui ({2. of Engineering Structures and Mechanics,wuhan university of Technology,wuhan 430070,China) department of Engineering Structures Wuhan University of Technology Wuhan 430070 China

A carbon fiber mat is a sheet composed of intercrossing short carbon fibers,which has more stable and lower electrical resistivity compared with dispersed short carbon fiber mixed in *** carbon fiber mat cement could exhibit obvious electro-thermal *** electrified,the temperature of composite structures made up of cement mortar and carbon fiber mat will rise *** the temperature field is not uniform,temperature difference will cause structures to deform,which can be used to adjust the deformation of *** temperature field and deformation response driven by the electro-thermal effects of a type of carbon fiber mat cement beams are ***,the temperature and deformation responses are studied using theories of thermal conduction and ***,experimental results are given to verify the theoretical *** two parts lay the foundation for temperature and deformation adjustment.

关键词： carbon fiber mat cement electro-thermal effect deformation response

DECAY RATES AND CONVERGENCE OFSOLUTIONS TO SYSTEM OF ONE-DIMENSIONAL VISCOELASTIC MODEL WITH DAMPING

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Acta Mathematica Scientia 2004年第3期24卷 469-484页

作者： LiuYanhong zhuChangjiang LaboratoryofNonlinearAnalysis DepartmentofMathematicsCentralChinaNormalUniversityWuhan430079China

This paper considers the asymptotic behavior of solutions to the system of onedimensional viscoelastic model with damping and prove that the corresponding solutions time-asymptotically behave like nonlinear diffusion wave as in [4,11]. In addition, It is also shown that the system of one-dimensional viscoelastic model with damping is a viscosity approximation of a hyperbolic conservation laws with damping.

关键词： viscoelastic model damping decay rate convergence

EXISTENCE OF GLOBAL SMOOTH SOLUTION TO INITIAL BOUNDARY VALUE PROBLEM FOR A VISCOELASTIC MODEL WITH RELAXATION

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Acta Mathematica Scientia 2004年第2期24卷 265-274页

作者：阮立志朱长江 LaboratoryofNonlinearAnalysis Dept.ofMath.CentralChinaNormalUniversityWuhan430079China

This paper is concerned with the initial boundary value problem for a viscoelastic model with relaxation. Under the only assumption that the C^0-norm of the initial data is small, without smallness hypothesis for the C^1-norm, the existence of the global smooth solution to the corresponding initial boundary value problem is proved. The analysis is based on some a priori estimates obtained by the 'maximum principle' of first-order quasilinear hyperbolic system.

关键词： Viscoelastic model relaxation a priori estimates maximum principle

On degrees of freedom of the cellular network

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Science China(Information Sciences) 2010年第05期53卷 1034-1043页

作者： SUN Jun 1,2., LIU Yingzhuang 1,2.& zhu GuangXi 1,2.1 {2. of Electronics and Information Engineering, Huazhong university of Science and Technology, wuhan 430074, China 2.Division of Optical Network and Intelligent Communication, wuhan National Laboratory for Optoelectronics, wuhan 430074, China 1. department of Electronics and Information Engineering Huazhong University of Science and Technology Wuhan 430074 China2. Division of Optical Network and Intelligent Communication Wuhan National Laboratory for Optoelectronics Wuhan 430074 China

In this paper, we consider the capacity limits of the cellular network by modeling it as consisting of two mutually interfering multiple access channels with multiple antennas at each receiver (e.g., base station). By developing a tight outerbound as well as an achievable scheme which exploits the idea of interference alignment, we are able to exactly characterize the sum degrees of freedom (DoF) of the network when the channel coefficients are timeor frequency-varying, which equals KM K+min(M,K) (where M and K denote the number of receiver antennas and number of users in per cell, respectively) per cell. From the DoF result, it can be observed that in addition to the multi-user gain which has been reported for the network with single-antenna BSs, there also exists the multi-antenna gain in the cellular network. In particular, when the number of users is large, we can nearly achieve the interference-free DoF of a cellular network with multiple-antenna BSs, which is a somewhat surprising result.

关键词： capacity degrees of freedom cellular network interference alignment interference channel MIMO

Synthesis, Structure and Antitumor Activity of S~*-2.〔2.(Ethyl 4-Methylvalerate〕-1,2.Benzisoselenazol-3(2.)-one

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Chinese Journal of Structural Chemistry 1997年第1期16卷 42-47页

作者： XIAO Ying-Xin LIU Xiu--Fang XU Han--Sheng’(department of Chemistry, wuhan university, {2., 430072.zhu Jun HUANG You--Qing HU Sheng--Zhi (department of Chemistry, Xiamen university, Xiamen361005) department of Chemistry Wuhan University Wuhan 430072 China department of Chemistry Xiamen University Xiamen 361005 China

The title compound has been synthesized in good yield in H2./ethersystem by using 2.-chloroselenobenzoyl chloride as the key intermediate. its structurewas characterized by elemental analysisi IR, IH NMR and X--ray diffraction *** data: C15H19NO3Se, M.r= 340. 2., hexagonal, P61, a= 8. 903(2., c= 34. 352.1)A, V=2.58. I A3, Z=6, Dx=1. 438 g/cm3, λ(CuKa)=l. 5418 A, μ=33. 56cm--1, F (000) = 1044, final R = 0. 034 for 1396 observed reflections. Molecules incrystal form helieal chains with intermolecular Se...O distance of 2. 812.5) A as wellas intramolecular Se ...O distance of 3. 089 (5) A. Biological studies show that thiscompound is very active against human tumor cells, including HCT--8, Bel--7402.A432. HL--60 and K562.

关键词： benzisoselenazolone ebselen selenoorganic compound synthesis crystal structure antitumor activity