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REFINED CONNECTIVITY PROPERTIES OF ABELIAN CAYLEY GRAPHS

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Chinese Annals of Mathematics,Series B 1998年第4期19卷 409-414页

作者： LI QIAOLIANG (department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, ChinaPresend in department of Mathematics, Hunan Normal University, Changsha 410082, China.)LI QIAO (department of Applied Mathematics, Shanghai Jiaotong Univ department of Applied Mathematics Shanghai Jiaotong University Shanghai 200030 China department of Mathematics Hunan Normal University Changsha 410082 China

Restricted edge connectivity of a graph G is defined to be the minimum size |U| of a set U of edges such that G-U is disconnected and G-U contains no trivial component K1. The high order edge connectivity Ni, i1, is the number of edge outsets of size i. TO determine all Ni, i 1, for a general graph is NP-hard. In this paper, the authors evaluated the restricted edge connectivity and the high order edge connectivity Ni, 1 i -1, for any connected Abelian Cayley graphs explicitly.

关键词： Abelian Cayley graph Restricted edge connectivity High order edge connectivity

From the Green's Function in Tight-Binding Representation to Interatomic Many-body Potentials

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Journal of Materials Science & Technology 1999年第4期15卷 315-319页

作者： Shaojun LIU(department of physics, Beijing Normal University, Beijing 100875, China)Xiaobo WEI(department of Physics, Liuzhou College of Education, Liuzhou 545005, China)Zhaodou CHEN Jun CAI and Benkun MA(department of Physics, Beijing Normal University, department of Physics Beijing Normal University Beijing 100875 China department of Physics Liuzhou College of Education Liuzhou 545005 China

In this paper, we deduce the analytical form of many-body interatomic potentials based on the Green's function in tight-binding representation. The many-body potentials are expressed as the functions of the hopping integrals which are the physical origin of cohesion of atoms. For thesimple case of s-valent system, the inversion of the many-body potentials are discussed in detail by using the lattice inversion method.

关键词： Rev Li Chen From the Green’s Function in Tight-Binding Representation to Interatomic Many-body Potentials body

An algebraic invariant for Jordan automorphisms on B(H):The set of idempotents

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Science China Mathematics 2005年第12期48卷 1585-1596页

作者： CUI Jianlian & HOU Jinchuan department of Mathematical Science, Tsinghua University, Beijing 100084, China department of Applied Mathematics, Taiyuan University of Technology, Taiyuan 030024, China department of Mathematics, Shanxi Teachers University, Linfen 041004, China department of Mathematical Science Tsinghua University Beijing 100084 China department of Applied Mathematics Taiyuan University of Technology Taiyuan 030024 China department of Mathematics Shanxi Teachers University Linfen 041004 China

Let H be an infinite dimensional complex Hilbert space. Denote by B(H) the algebra of all bounded linear operators on H, and by I(H) the set of all idempo-tents in B(H). Suppose that Φ is a surjective map from B(H) onto itself. If for every λ ∈ {-1,1,2,3,1/2,1/3} and A, B ∈ B(H), A - λB ∈ I(H) (?) Φ(A) - λΦ(B) ∈ I(H), then Φ is a Jordan ring automorphism, i.e. there exists a continuous invertible linear or conjugate linear operator T on H such that Φ(A) = TAT-1 for all A ∈ B(H), or Φ(A) = TA*T-1 for all A ∈ B(H); if, in addition, A-iB ∈ I(H) (?) Φ(A) -ιΦ(B) ∈ I(H), here ι is the imaginary unit, then Φ is either an automorphism or an anti-automorphism.

关键词： Hilbert space operators,Jordan automorphisms,idempotents.

On Holomorphic Automorphisms of a Class of Non-homogeneous Rigid Hypersurfaces in C^(N+1)

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Chinese Annals of Mathematics,Series B 2010年第2期31卷 201-210页

作者： Qingyan WU department of Mathematics,Linyi Normal University,Linyi 276005,Shandong,China department of Mathematics,Zhejiang University,Hangzhou 310027,China department of Mathematics Linyi Normal University Linyi 276005 Shandong China department of Mathematics Zhejiang University Hangzhou 310027 China

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in CN+1 near the origin,and the connected component containing the identity transformation of al... 详细信息

关键词： Real-analytic infinitesimal CR automorphisms Rigid hypersurfaces Holomorphic automorphisms

T1 theorem for Besov and Triebel-Lizorkin spaces

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Science China Mathematics 2005年第5期48卷 657-665页

作者： DENG Donggao & HAN Yongsheng department of Mathematics, Zhongshan University, Guangzhou 510275, China department of Mathematics, Auburn University, Alabama, 36849, USA Dept. of Math. Zhongshan Univ. Guangzhou 510275 China Dept. of Math. Auburn Univ. Alabama 36849 United States

Using the discrete Calderon type reproducing formula and the PlancherelPolya characterization for the Besov and Triebel-Lizorkin spaces, the T1 theorem for the Besov and Triebel-Lizorkin spaces was proved.

关键词： T1 theorem Besov and Triebel-Lizorkin spaces Calderon reproducing formula Plancherel-Polya inequalities.

ADAPTIVE BAYES RIDGE ESTIMATION FOR THE PARAMETERS OF THE LINEAR MODE

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国防科技大学学报 1995年第3期17卷 53-58页

作者： Zhang Jinhuai(department of Automatic Control, NUDT, Changsha, 410073)

ＡＤＡＰＴＩＶＥＢＡＹＥＳＲＩＤＧＥＥＳＴＩＭＡＴＩＯＮＦＯＲＴＨＥＰＡＲＡＭＥＴＥＲＳＯＦＴＨＥＬＩＮＥＡＲＭＯＤＥＬＺｈａｎｇＪｉｎｈｕａｉ（ＤｅｐａｒｔｍｅｎｔｏｆＡｕｔｏｍａｔｉｃＣｏｎｔｒｏｌ，ＮＵＤＴ，Ｃ... 详细信息

ＡＤＡＰＴＩＶＥＢＡＹＥＳＲＩＤＧＥＥＳＴＩＭＡＴＩＯＮＦＯＲＴＨＥＰＡＲＡＭＥＴＥＲＳＯＦＴＨＥＬＩＮＥＡＲＭＯＤＥＬＺｈａｎｇＪｉｎｈｕａｉ（ＤｅｐａｒｔｍｅｎｔｏｆＡｕｔｏｍａｔｉｃＣｏｎｔｒｏｌ，ＮＵＤＴ，Ｃｈａｎｇｓｈａ，４１００７３）Ａｂ...

关键词：参数估计线性模型自适应Bayes估计 BRE

SYNTHESIS AND BIOTECHNOLOGICAL APPLICATIONS OF VINYL POLYMERINORGANIC HYBRID AND MESOPOROUS MATERIALS

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Chinese Journal of Polymer Science 2000年第1期18卷 1-7页

作者： Yen Wei Kun-yuan Qiu department of Chemistry, Drexel University, Philadelphia, Pennsylvania 19104, USA department of Polymer Science and Engineering, Peking University, Beijing 100871, China Drexel University 美国北京大学高分子科学与工程系北京

We describe the sol-gel synthesis of a new family of organic-inorganic hybrid materials, in which various vinyl polymers are covalently bonded to and uniformly distributed in inorganic oxide matrices. The materials can be tailored to have both good toughness and hardness while maintaining excellent optical transparency. Doping the sol-gel metal oxides with optically active compounds such as D-glucose results in new optical rotatory composite materials. Removal of the dopant compounds from the composites affords mesoporous oxide materials; which represents a new, nonsurfactant-templated route to mesoporous molecular sieves. We have successfully immobilized a series of enzymes and other bioactive agents in mesoporous materials. Catalytical activities of the enzyme encapsulated in mesoporous materials were found to be much higher than those encapsulated in microporous materials.

关键词： vinyl polymer-inorganic hybrid materials mesoporous materials sol-gel process biotech-nological applications

A COMPLEX OF TWO OPTIMIZATION IDEAS IN OPTICAL AUTOMATIC DESIGN

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国防科技大学学报 1995年第3期17卷 95-103页

作者： Wang Yongzhong(department of Applied Physics, NUDT, Changsha, 410073)

ＡＣＯＭＰＬＥＸＯＦＴＷＯＯＰＴＩＭＩＺＡＴＩＯＮＩＤＥＡＳＩＮＯＰＴＩＣＡＬＡＵＴＯＭＡＴＩＣＤＥＳＩＧＮＷａｎｇＹｏｎｇｚｈｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＰｈｙｓｉｃｓ，ＮＵＤＴ，Ｃｈａｎｇｓｈａ... 详细信息

ＡＣＯＭＰＬＥＸＯＦＴＷＯＯＰＴＩＭＩＺＡＴＩＯＮＩＤＥＡＳＩＮＯＰＴＩＣＡＬＡＵＴＯＭＡＴＩＣＤＥＳＩＧＮＷａｎｇＹｏｎｇｚｈｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＰｈｙｓｉｃｓ，ＮＵＤＴ，Ｃｈａｎｇｓｈａ，４１００７３）Ａｂｓｔｒａｃｔ：...

关键词：光学设计自动设计优化设计 DLS

Effective-Medium Theory for Two-Phase Random Composites with and Interfacial Shell

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Journal of Materials Science & Technology 2000年第4期16卷 367-369页

作者： Qingzhong XUE (department of Physics, University of Petroleum, Dongying 257062, China) department of Physics University of Petroleum Dongying 257062 China

According to the Bruggeman theory and Maxwell-Garnett theory, the effective dielectric constant of a two-phase random composite with an interfacial shell is presented. The nonlinearity of the theory is obvious. Especially, the theory is suited to study the dielectric properties of two-phase random composites with a spherical interfacial shell. The theoretical results on dielectric properties of polystyrene-barium titanate composites with an interfacial shell are in good agreement with experimental data.

关键词： Zhang Effective-Medium Theory for Two-Phase Random Composites with and Interfacial Shell Wang