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ON THE MODULI NUMBER OF PLANE CURVE SINGULARITIES WITHONE CHARACTERISTIC PAIR

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Chinese Annals of Mathematics,Series B 1999年第4期20卷 407-412页

作者： CHEN HAO(department of Mathematics, zhongshan university, guangzhou 510275, China) zhongshan Univ Dept Math Guangzhou 510275 Peoples R China

The author gives another linear-algebraic proof of the famous result of Zariski, Delorme,Briancon- Granger- Maisonobe about the moduli number of plane curve singularities with the same topological type as Xa + Yb = 0 (i.e.,with one characteristic pair). Since the original proof depends very much on the division theorem of Briancon, it cannot be generalized to higher dimensions. It is hopeful that the proof here will be applied to the higher dimensional cases.

关键词： Moduli number Plane curve Singularity Characteristic pair

SIMPLE OCKHAM ALGEBRAS

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 213-218页

作者： FANG JIE department of Mathematics, zhongshan university, guangzhou 510271, China. zhongshan UNIV DEPT MATHGUANGZHOU 510271PEOPLES R CHINA

An algeber L is said to be simple, if its congruence lattice Con L reduces to the 2-elementchain {ω,v}. This paper describes the structure of finite simple Ockham algebras.

关键词： Ockham algebra Simple algebra Congruence lattic 2-element chain

ID-WAVELETS METHOD FOR HAMMERSTEIN INTEGRAL EQUATIONS

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Journal of Computational Mathematics 1998年第6期16卷 499-508页

作者： Xian-biao Wang Wei Lin (department of Mathematics, zhongshan university, guangzhou 510275, China) zhongshan Univ Dept Math Canton 510275 Peoples R China

The numerical solutions to the nonlinear integral equations of Hammerstein-type y(t) = f(t) + integral(0)(1)k(t, s)g(s, y(s))ds, t is an element of [0,1] are investigated. A degenerate kernel scheme basing on ID-wavelets combined with a new collocation-type method is presented. The Daubechies interval wavelets and their main properties are briefly mentioned. The rate of approximation solution converging to the exact solution is given. Finally we also give two numerical examples.

关键词： nonlinear integral equation interval wavelets degenerate kernel

The Influence of Minimal Subgroups on the Structure of Finite Groups

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Acta Mathematica Sinica,English Series 2000年第1期16卷 63-70页

作者： Yanming Wang Mathematics department,zhongshan university,{3. 510275,P.R.China Mathematics department Zhongshan University Guangzhou 510275 P.R. China

Let G be a finite *** question how the properties of its minimal subgroups influence the structure of G is of considerable interest for some *** this paper we try to use c-normal condition on minimal subgroups to char... 详细信息

关键词： c-normal subgroup Supersolvable Nilpotent Generalized Fitting subgroup

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, 3.849, 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.

The Isotone Mappings on Ockham Algebras

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Acta Mathematica Sinica,English Series 1996年第1期12卷 43-48页

作者： Fang Jie department of Mathematics zhongshan university guangzhou, 510275 China 中山大学数学系广东广州

In this paper we shall describe some algebraic concepts of Ockham algebras. We show that, if L, M∈K1,1 then H（S（L）,S（M））≌S（H（L,M））.

关键词： Isotone (Ockham) Isomorphism

A Generalization of Hall-Higman's Reduction Theorem

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Acta Mathematica Sinica,English Series 1995年第1期11卷 74-80页

作者： Wang Yanming department of Mathematics zhongshan university guangzhou,510275 China harm.showa-u.ac.jp

In this paper,we generalize the Hall-Higman’s reduction theorem by dropping the restrictive hypothesis(丨G丨,丨H丨)=1 and determine the detailed structure of G.

关键词： Hall A Generalization of Hall-Higman’s Reduction Theorem

Roles of urban vegetation on balance of carbon and oxygen in guangzhou, China

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Journal of Environmental Sciences 2003年第2期15卷 155-159页

作者： GUAN Dong-sheng, CHEN Yu-juan (department of Environmental Science, zhongshan university, guangzhou 510275, China. department of Environmental Science Zhongshan University Guangzhou 510275 China

The plant biomass and net primary production(NPP) of urban vegetation in guangzhou were estimated by dimension analysis, tree truck volume, and harvest methods as well as relationship between biomass and NPP and so on. The biomass and NPP were respectively 2875150t and 1058122 t/a. They were respectively 3.2495t and 64948 t/a in the built-up area and 2482655t and 993.47 t/a in the unbuilt-up area. It would make plant biomass, especially NPP decline obviously, if the unbuilt-up area were changed to the built-up area. The carbon content of plant was 13.8649 for the total and 13.78 t/hm 2 for the mean, and amounts of carbon fixed and oxygen made by urban vegetation were respectively 4.80 t/(hm 2·a) and 12.79 t/(hm 2·a) for the mean and 462624 t/a and 123.43. t/a for the total, which were equal to 1.45 times and 1.04 times of those by human breathing. However, they were only equal to 7.61% and 4.97% of amount of carbon released and oxygen consumption in urban guangzhou. The biomass and NPP of urban vegetation in guangzhou only corresponded to 7.8% and 47.3. of those of southern subtropical evergreen broad-leaf forest in Dinghu Mountain. Therefore, the roles of guangzhou urban vegetation in balance of carbon and oxygen would be increased greatly if it could be conserved and improved in some way.

关键词： urban vegetation carbon oxygen balance guangzhou

Three-dimensional Motion of Multichain-Buoy Mooring System in shallow Water and Survival Conditions

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China Ocean Engineering 1997年第3期12卷 261-272页

作者： Zhang Ting Sun Mingguang Graduate student, department of Applied Mechanics and Engineering, zhongshan university,guangzhou 510275Professor, department of Applied Mechanics and Engineering, zhongshan university, guangzhou 510275 Dept. of Appl. Mechanics and Eng. Zhongshan University Guangzhou 510275 China

An engineering numerical model for three dimensional motion of multichain-buoy mooring system in shallow water and survival condition is given in this paper. Shooting-aim method is employed for solving the dynamic equations of chain system in order to match the computation of buoy motion. The responses of buoy and chain have been computed for different wind-wave-current directions and different rigidity of chain. The results show that the present numerical model is reasonable.

关键词： survival condition shallow water chain system three-dimensional motion