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Algebraic Surfaces of General Type with K^2 = 2p_g-1, p_g■5

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Acta Mathematica Sinica,English Series 1996年第3期12卷 234-243页

作者： Liu Xianfang, department of mathematics east china normal university shanghai, 2.0062.chinaCurrent address: Institute of systems science Beijing, 100080 china department of mathematics East China Normal University Shanghai China

This paper mainly deals with minimal algebraic surfaces of general type with K^2= 2p_g-1. We prove that for p_g 7 all these surfaces are birational to a double cover of some rational surfaces, and all but a finite classes of them have a unique fibration of genus 2; then we study their structures by determining their branch loci and singular fibres. We study similarly for surfaces with p_g=5, 6. Lastly we show that when p_g 13 all these surfaces are simply-connected.

关键词： Double cover Canonical resolution Fibration Singular fiber Ramification divisor Branch locus

JACOBI SPECTRAL METHODS FOR MULTIPLE- DIMENSIONAL SINGULAR DIFFERENTIAL EQUATIONS

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Journal of Computational mathematics 2003年第3期21卷 325-338页

作者： Li-Han Wang Ben-yu Guo (department of mathematics, shanghai normal university, shanghai 200234, china) department of mathematics Shanghai Normal University 上海 200234

Jacobi polynomial approximations in multiple dimensions are investigated. They are applied to numerical solutions of singular differential equations. The convergence analysis and numerical results show their advantages.

关键词： Jacobi approximations Multiple dimensions.

Enhancing Positive Citizenship Ideals on Students Through Bibliotherapy and Cognitive Counseling

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心理科学 2002年第1期25卷 47-52页

作者： Ismail Hussein Hashim (east china normal university department of Psychology,shanghai,2.0062. eastchinanormaluniversitydepartmentofPsychology Shanghai200062

The paper views feelings touching as very important in cultivating positive citizenship ideals amongst the *** main preoccupation of the study was to provide relevant information concerning the efficacy of bibliotherapy and cognitive counseling as two methods that could be applied by counselors in school field to promote positive citizenship ideals in the *** study was carried out in Alfashir principality (Sudan)in April *** of one hundred and twenty five secondary school students were touched with regards to what they regarded as citizenship *** control and experimental measures approach,the two groups of the subjects were treated to bibliotherapy and cognitive counseling, while the third group was left as control *** indicated significant differences in the efficacy of the two methods for positively fostering citizenship ideals among the youth in favor of *** results have demonstrated that bibliotherapy can be effectively applied in school setting through the school curriculum to positively foster citizenship ideals among the youth.

关键词：学生心理学读书疗法认知咨询服务心理研究教育心理学

T-UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE

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Acta Mathematica Scientia 1985年第1期5卷 85-91页

作者：薛行鸿 department of mathematics East China Normal University Shanghai China

§1. Introduction Let (（Ω, （?）, p） be a probability space, E be a separable Banach space with norm ||·||, and let （Xn, （?）n）n≥1 be an E-valued adapted sequence, i.e., （（?）n）n≥1 is a family of increasin... 详细信息

关键词： In T-UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE 一刀

ON THE Least EIGENVALUE OF A GRAPH

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Systems Science and Mathematical Sciences 1993年第3期6卷 269-272页

作者： HONG Yuan department of mathematics, east china normal university, shanghai 2.0062. china 华东师范大学上海

Let G be a simple graph with n vertices and λn（G） be the least eigenvalue of *** this paper, we show that, if G is connected but not complete, then λn（G）≤λn(Kn-11)and the equality holds if and only if G Kn-11, where Kn-11, is the graph obtained by thecoalescence of a complete graph Kn-1 of n-1 vertices with a path P2 of length one of itsvertices.

关键词： Adjacency matrix eigenvalue coalescence

LIE ALGEBRA K(n,μj,m)OF CARTAN TYPE OF CHARACTERISTIC p=2.

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Chinese Annals of mathematics,Series B 1992年第3期13卷 315-326页

作者：张永正林磊 department of mathematics Northeast Normal UniversityChangchunJilin 130024China. department of mathematics East China Normal UniversityShanghai 200062China.

Let K(n,μ_j,m),n=2r+1,denote the Lie algebra of characteristic p=2,which isdefined in [4].In the paper the restrietability of K(n,μ_j,m)is discussed and it is provedthat,when r≡1(mod 2)and r>1,1(ad.f)=n+1 if and only if 0≠f∈.Then theinvariance of some filtrations of K(n,μ_j,m)and the condition of isomorphism of K(n,μ_j,m)and K(n′,μ_j′,m′)are ***,the generators and the derivation algebraof K(n,μ_l,m)are *** results also hold,when r=0(mod 2)and r>0.

关键词： derivation algebra 二七云一 LIE ALGEBRA K linearly proof integers formal invar

JACOBI SPECTRAL APPROXIMATIONS TO DIFFERENTIALEQUATIONS ON THE HALF LINE

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Journal of Computational mathematics 2000年第1期18卷 95-112页

作者： Ben-yu Guo(department of mathematics, shanghai normal university, shanghai 200234, china)(COM2MAC, Pohang university of Science and Technology, Pohang, Korea) 上海师范大学上海 200234

Presents a study which investigated some Jacobi approximations which are used for numerical solutions of differential equations on the half line. Application of the approximations to problems on unbounded domains; Alg... 详细信息

关键词： Jacobi spectral approximations differential equations on the half line stability and convergence

ON THE DOMAIN DECOMPOSITION METHOD FOR MORLEYELEMENT-FROM WEAK OVERLAP TO NONOVERLAP

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Journal of Computational mathematics 1999年第6期17卷 615-628页

作者： Jian-guo Huang(department of Applied mathematics, shanghai Jiao Tong university, shanghai 200240,china) shanghai Jiao Tong Univ Dept Math Appl Shanghai 200240 Peoples R China

In this paper, following our original ideas[9], we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

关键词： Morley element domain decomposition weak overlap

THE SCHWARZ CHAOTIC RELAXATION METHOD WITH INEXACT SOLVERS ON THE SUBDOMAINS

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Journal of Computational mathematics 1999年第2期17卷 125-132页

作者： Jian-guo Huang(department of Applied mathematics, shanghai Jiao Tong university,shanghai 200240, china) 上海交通大学应用数学系上海

In this paper, a S-CR method with inexact solvers on the subdomains is presented, and then its convergence property is proved under very general conditions. This result is important because it guarantees the effective... 详细信息

关键词： S-CR method chaotic algorithm inexact solvers