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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 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

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 510641 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.

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 1. department of Physics South China University of Technology Guangzhou 510640 China 2. guangzhou Auto College South China University of Technology Guangzhou 510800 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

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

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 1. department of Mathematics South China University of Technology Guangzhou 510640 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

The counting series for (k+1)-uniform linear acyclic hypergraphs

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Chinese science Bulletin 2001年第3期46卷 197-200页

作者： SHAN Zhilong & LIU Bolian department of Mathematics, south china Normal university, guangzhou 510631, china department of computer science, Guandong Polytechnical Normal university, guangzhou 510633, china department of Mathematics South China Normal University Guangzhou China department of computer science Guandong Polytechnical Normal University Guangzhou China

The explicit formula for (k+l)-uniform linear acyclic hypergraphs and the counting series for unlabeled (k +1)-uniform linear acyclic hypergraphs are obtained.

关键词： hypergraph linear hypergraph hypertree bipartite tree Polya’s Enumeration Theorem.

A new geometric approach to blind source separation of bounded sources

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Progress in Natural science:Materials International 2009年第7期19卷 891-896页

作者： Jinlong Zhang a, Guoxu Zhoua, Zuyuan Yang a, Xiaoxin Liao b a School of Electrics & Information Engineering, south china university of technology, guangzhou 510641, china b department of Control science and Engineering, Huazhong university of science and technology, Wuhan 430074, china [a]School of Electrics & Information Engineering South China University of Technology Guangzhou 510641 China [b]Department of Control Science and Engineering Huazhong University of Science and Technology Wuhan 430074 China

Based on the minimum-range approach, a new geometric approach is proposed to deal with blind source separation in this paper. The new approach is the batch mode of the original minimum-range approach. Compared with the original approach, the optimization algorithm of the proposed approach needs no parameters and is more efficient and reliable. In addition, the extension of minimum-rangebased approaches is discussed. The simulations show the efficiency of the proposed approach.

关键词： Blind source separation Independent component analysis Minimum-range approach

Robust Stabilization of Interval Coefficient Non linear Discrete Control Systems with Multi Group Non integer Delays

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Systems science and Systems Engineering 1997年第1期7卷 116-122页

作者： SONG Zhenyu YAN Xueding Automation department, south china university of technology, guangzhou,510641, china

In the paper, we give the robust stabilization and estimate formulae for interval coefficient non linear discrete control systems with multi group delays. We used the comparison principles method and frequency domai... 详细信息

关键词： Multi-Group Systems Stabilization Interval Coefficient

A secure multi-party computation solution to intersection problems of sets and rectangles

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Progress in Natural science:Materials International 2006年第5期16卷 538-545页

作者： LI Shundong, DAI Yiqi, WANG Daoshun and LUO Ping (department of computer science and technology, Beijing Normal university, Beijing 100875, china department of computer science and technology, Tsinghua university, Beijing 100084, china) [a]department of computer science and technology Beijing Normal University Beijing China [b]department of computer science and technology Tsinghua University Beijing China

Secure multi-party computation (SMC) is a research focus in international cryptographic community. At present, there is no SMC solution to the intersection problem of sets. In this paper, we first propose a SMC solution to this problem. Applying Cantor encoding method to computational geometry problems, and based on the solution to set-intersection problem, we further propose solutions to points inclusion problem and intersection problem of rectangles and further prove their privacy-preserving property with widely accepted simulation paradigm. Compared with the known solutions, these new solutions are of less computational complexity and less communication complexity, and have obvious superiority in computational and communication complexity.

关键词： Cantor encoding secure multi-party computation set-intersection rectangle-intersection computational complexity.