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The construction of infinite families of any k-tight optimal and singular k-tight optimal directed double loop networks

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science china Mathematics 2007年第7期50卷 1055-1064页

作者： Bao-xing CHEN~(1+) Xie-bin CHEN~2 Ji-xiang MENG~3 Wen-jun XIAO~4 1 department of computer science,Zhangzhou Teachers College,Zhangzhou 363000,china 2 department of Mathematics and Information science,Zhangzhou Teachers College,Zhangzhou 363000,china 3 College of Mathematics & System science,Xinjiang university,Urumqi 830046,china 4 department of computer science,south china university of Technology,guangzhou 510641,china department of computer science Zhangzhou Teachers College Zhangzhou China department of Mathematics and Information science Zhangzhou Teachers College Zhangzhou China College of Mathematics & System science Xinjiang University Urumqi China department of computer science South China University of Technology Guangzhou China

The double loop network(DLN)is a circulant digraph with n nodes and outdegree *** is an important topological structure of computer interconnection networks and has been widely used in the designing of local area networks and distributed *** the number n of nodes,how to construct a DLN which has minimum diameter?This problem has attracted great attention.A related and longtime unsolved problem is:for any given non-negative integer k,is there an infinite family of k-tight optimal DLN?In this paper,two main results are obtained:(1)for any k≥0,the infinite families of k-tight optimal DLN can be constructed,where the number n(k,e,c)of their nodes is a polynomial of degree 2 in e with integral coefficients containing a parameter c.(2)for any k≥0, an infinite family of singular k-tight optimal DLN can be constructed.

关键词： double loop network diameter k-tight optimal singular k-tight optimal 05C12 05C20 05C85

The phase transition and classification of critical points in the multistability chemical reactions

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Communications in Nonlinear science and Numerical Simulation 2000年第1期5卷 36-43页

作者： Chunhua ZHANG Fugen WU Chunyan WU and Fa OU department of Physics, Guangdong university of Technology, guangzhou510090, china department of Applied Physics, south china university of Technology, guangzhou 510641, china department of Physics Guangdong University of Technology Guangzhou 510090 China department of Applied Physics South China University of Technology Guangzhou 510641 China

In this paper, we study the phase transition and classification of critical points in multistability chemical reaction systems. Referring to the spirit of Landau's theory of phase transitions, this paper deals with the varied transitions and critical phenomena in multistable chemical systems. It is demonstrated that the higher the order of the multistability, the wider the variety of phase transitions will be. A classification scheme of critical points according to the stability criterion and the thermodynamic potential continuity is suggested. It is useful for us to study critical phenomena especially in the non-equilibrium systems including the multi-Stable chemical ones.

关键词： nonlinear chemistry non-equilibrium phase transition critical points

Invariant basis number of the ring of Morita context

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Chinese science Bulletin 1997年第8期42卷 633-636页

作者： HAO Zhifengdepartment of Applied Mathematics, south china university of Technology, guangzhou 510641, china department of Applied Mathematics South China University of Technology Guangzhou China

A ring is said to be an IBN ring if for every free left module A,every two bases of A havethe same *** class of such a ring has been applied to alegbraic K-theory and *** free module over the IBN ring can be defined b... 详细信息

关键词： ring of Morita context IBN ring Five Lemma.

Atomic Force Microscopy-based Cell Nanostructure for Ligand-conjugated Quantum Dot Endocytosis

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Acta Biochimica et Biophysica Sinica 2006年第9期38卷 646-652页

作者： Yun-Long PAN~1* Ji-Ye CAI~2 Li QIN~3 Hao WANG~4 1 The First Affiliated Hospital of Jinan university,guangzhou 510632,china 2 College of Life science and Technology,Jinan university,guangzhou 510632,china 3 department of Histology and Embryology,Medical College of Jinan university,guangzhou 510632,china 4 Information and Optoelectronic science and Engineering.{12. china Normal university,guangzhou 510631,china The First Affiliated Hospital of Jinan universityguangzhou 510632 China College of Life science and Technology Jinan UniversityGuangzhou 510632 China department of Histology and Embryology Medical College of Jinan UniversityGuangzhou 510632 China School for Information and Optoelectronic science and Engineering South China Normal UniversityGuangzhou 510631 China

While it has been well demonstrated that quantum dots (QDs) play an important role inbiological labeling both in vitro and in vivo,there is no report describing the cellular nanostructure basis ofreceptor-mediated ***,nanostructure evolution responses to the endocytosis of transferrin(Tf)-conjugated QDs were characterized by atomic force microscopy (AFM).AFM-based nanostructureanalysis demonstrated that the Tf-conjugated QDs were specifically and tightly bound to the cell receptorsand the nanostructure evolution is highly correlated with the cell membrane receptor-mediated ***,confocal microscopic and flow cytometry results have demonstrated the specificity anddynamic property of Tf-QD binding and *** found that the internalization of Tf-QD is linearlyrelated to ***,while the nanoparticles on the cell membrane increased,the endocytosis was stillvery active,suggesting that QD nanoparticles did not interfere sterically with the binding and function ***,ligand-conjugated QDs are potentially useful in biological labeling of cells at a nanometerscale.

关键词： quantum dot endocytosis nanostructure atomic force microscopy

Network Management Temporal Database System Based on XTACACS Protocol

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计算机工程 2002年第S1期28卷 82-85页

作者： MIN Huaqing (Dep. of computer science and Engineering, south china university of Technology,guangzhou 510641,china,hqmin@*** ) Dep. of computer science and Engineering South China University of Technology Guangzhou 510641China hqmin @***. cn

This paper first analyzes the basic concepts of Cisco router user certification, XTACACS certification protocol and describes the data architecture of user data protocol, then defines a kind of doubly temporal databases and log-in transaction processing based on network management property, at last, introduces implementation technology and method.

关键词： XTACACS protocolNetwork system architectureTemporal databaseTransaction processing

Microwave peak absorption frequency of liquid

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science china(Physics,Mechanics & Astronomy) 2008年第9期51卷 1254-1263页

作者： HAN GuangZe1 & CHEN MingDong2 1 department of Physics,south china university of Technology,guangzhou 510640,china 2 guangzhou Auto College,south china university of Technology,guangzhou 510800,china department of Physics South China University of Technology Guangzhou China guangzhou Auto College South China University of Technology Guangzhou China

Microwave-assisted extraction is a new effective method which has practical ap-plications in many fields. Microwave heating is one of its physical mechanisms,and it also has the characteristic of selectivity. When the applied microwave fre-quency equals a certain absorption frequency of the material (or specific compo-nent),the material will intensively absorb microwave energy. This is also known as resonant absorption,and the frequency is called the peak absorption frequency which depends on the physical structure of the material. In this work,dynamic hy-drogen bond energy was included in molecular activation energy; with the liquid cell model,the expression of interaction energy between dipolar molecules was derived. The rotational relaxation time was gotten from the Eyring viscosity formula. Then based on the relationship between dielectric dissipation coefficient and re-laxation time,the expression of microwave peak absorption frequency as a func-tion of the material physical structure,rotational inertia and electrical dipole mo-ment of molecules was established. These theoretical formulas were applied to water and benzene,and the calculated results agree fairly well with the experi-mental data. This work can not only deepen the study of the interaction between microwave and material,but also provide a possible guide for the experiment of microwave-assisted extraction.

关键词： microwave-assisted extraction microwave heating relaxation time liquid viscosity peak absorption fre-quency

Free orthodox semigroups and free bands with inverse transversals

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science china Mathematics 2010年第11期53卷 3015-3026页

作者： TANG XiLin department of Mathematics, south china university of Technology, guangzhou 510640, china department of Mathematics South China University of Technology Guangzhou China

It is well known that the subclass of inverse semigroups and the subclass of completely regular semigroups of the class of regular semigroups form the so called e-varieties of semigroups. However, the class of regular semigroups with inverse transversals does not belong to this variety. We now call this class of semigroups the ist-variety of semigroups, and denote it by IST . In this paper, we consider the class of orthodox semigroups with inverse transversals, which is a special ist-variety and is denoted by OIST . Some previous results given by Tang and Wang on this topic are extended. In particular, the structure of free bands with inverse transversals is investigated. Results of McAlister, McFadden, Blyth and Saito on semigroups with inverse transversals are hence generalized and enriched.

关键词： inverse transversal ist-variety free orthodox semigroup free band

ON THE INVERSE IMAGE SET OF RATIONAL FUNCTIONS

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Acta Mathematica Scientia 2007年第3期27卷 541-548页

作者：孙道椿 department of Mathematics South China Normal University

This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in ***＇ theorem incidentally.

关键词： Rational dynamical system Julila set Fatou component

Free Quadratic Bialgebra

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Acta Mathematica Sinica,English Series 1996年第3期12卷 244-248页

作者： Hao Zhifeng, department of Applied Mathematics south china university of Technology guangzhou, 510641 chinaTong Wenting, department of Mathematics Nanjing university Nanjing, 210008 china department of Applied Mathematics South China University of Technology Guangzhou China department of Mathematics Nanjing University Nanjing China

In this paper, we obtain the following main theorem for a free quadratic bialgebra J: (a) For p≠0, J is a pointed cosemisimple coalgebra. For p=0, J is a hyperalgebra. (b) For p≠0 and q≠0, J has antipode S iff p·q+2=0 and S(x)=x. Forp=0 or q=0, J has antipode and S(x)=-x. (c) All left J*-modules are rational. Also, we give some applications in homological theory and algebraic K-theory.

关键词： Free quadratic bialgebra Antipode Cosemisimple Rational module