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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) Department of Mathematics Zhongshan University Guangzhou 510275 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

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) 中山大学数学系广东广州

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

Twisting products of Hopf algebras and quantum double

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Chinese Science Bulletin 1999年第4期44卷 309-312页

作者： HU GuoquanDepartment of Mathematics, Zhongshan University, Guangzhou 510275, China Department of Mathematics Zhongshan University Guangzhou China

Let σ be a skew pairing on the pair (B, H) of Hopf algebras, and A a left(B, H) bicomodule algebra. A new algebra A_σ, called the twisting product of A, is obtained by alternating the multiplication of A using σ and the coactions on A by B and H. σ induces a skew pairing on (B B,H H), and the regular comodule structures of B and H induce a left (B B,H H) bicomodule algebra structure on B H, and the associated twisting product (B H)is a Hopf algebra, with the tensor coalgebra structure; moreover, A_σ remains a left (B H),comodule algebra. In particular,a description of the Drinfeld double is obtained from the twisting point of view. In addition, smash products appear as special cases. Dually, the construction of twisting coproducts is introduced by using copairings, and the Drinfeld quantum codouble and some smash coproducts are described.

关键词： skew (co)pairing twisting (co)products (co)quantum double.

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,Guangzhou 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

Inactivation cross section of yeast cells irradiated byheavy ions

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Nuclear Science and Techniques 1999年第2期10卷 83-86页

作者： ZHANG Chunxiang LUO Daling(Zhongshan University, Guangzhou 510275) Zhongshan University Guangzhou 510275 China

Inactivation cross sections for haploid yeast cell strain 211a have beencalculated as 1-hit detector based on the track theory in an extended target mode anda numerical calculation of radial dose distribution. In the calculations, characteristicdose Do is a fitted parameter which is obtained to be 42 Gy, and "radius" of hypothetical target ac is chosen to be *** which is about the size of nucleus of yeastcells for obtaining an overall agreement with experimental cross sections. The resultsof the calculations are in agreement with the experimental data in high LET (linearenergy transfer) including the thindown region.

关键词：重离子酵母细胞辐照截面

Dimension formula of cusp form spaces on half-spaces of quaternions

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Chinese Science Bulletin 1999年第14期44卷 1280-1283页

作者： HE YuDepartment of Mathematics , Zhongshan University, Guangzhou 510275 , China Department of Mathematics Zhongshan University Guangzhou China

A dimension formula for the cusp form spaces defined on half-spaces of quaternions by Selberg trace formula is deduced and the contributions of several conjugacy classes to dimension formula are calculated.

关键词： modular form cusp form Selberg trace formula.

Chemical Ionization Mass Spectrometry of Pertrimethylsilylated Desulphoglucosinolates

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Chinese Chemical Letters 1998年第6期9卷 553-555页

作者： Qin Ying DENG(School of Chendstry and Chendcal Engineering,Zhongshan University, Guangzhou 510275) Sch. of Chem./Chemical Engineering Zhongshan University Guangzhou 510275 China

The chemical ionization mass spectra of ten different glucosinolates isolated from rape seed have been studied. More intense diagnostic ions were identified than in the electron impact mass spectra. The method is suit... 详细信息

关键词： mass spectrometry chemical ionization mass spectrometry glucosinolate desulphoglucosinolate pertrimethylsilylated desulphoglucosinolate

The Numerical Simulation of Flow Field of Jet System

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Journal of Systems Engineering and Electronics 1993年第3期4卷 62-69页

作者： Guo Jinji, Zhang Sheng and Chen TongMechanics Dept. of Zhongshan University,Guangzhou 510275. China Mechanics Dept. of Zhongshan University Guangzhou 510275 China

In this paper, the internal fluid motion of a jet system is described by the Navier Stokes mechanics equations. For the simulation of the motion, the penalty function finite element method is used, and the velocity vectors and stream function curves are obtained. Using the Prandtl theory, this paper derives the free jet velocity and the jet bunch width in a half-space, the latter of which is amended by experiment. The results obtained in this paper are applied to micro-type high pressure water jet cleaner and the ejector of rocket engine.

关键词： Fluid mechanics equations Penalty finite element method Numerical simulation Free jet Jet bunch width.

On a problem of Skiba from the Kourovka Notebook

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Science China Mathematics 2004年第1期47卷 96-103页

作者： WANG Yanming & WEI HuaquanLingnan College and School of Mathematics, Zhongshan University, Guangzhou 510275, China School of Mathematics, Zhongshan University, Guangzhou 510275, China Department of Mathematics, Guangxi Teacher’s College, Nanning 530001, China Lingnan College and School of Mathematics Zhongshan University Guangzhou China School of Mathematics Zhongshan University Guangzhou China Department of Mathematics Guangxi Teacher’s College Nanning China

In this paper, we give a positive answer to a recent open problem of Skiba in Kourovka Notebook without using the odd order theorem and other deep theorems. Some of the techniques are improved.

关键词： supersolvable group c-supple merited subgroup complemented subgroup generalized fitting subgroup saturated formation