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ON ABELIAN AUTOMORPHISM GROUPS OF SURFACES OF GENERAL TYPE

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Chinese Annals of Mathematics,Series B 1996年第1期17卷 43-52页

作者： CAI JINXING(department of Mathematics, East china {2. university, Shanghai 2.0062. china.) E china normal UNIV DEPT MATHSHANGHAI 200062PEOPLES R CHINA

It is proved that for a complex minimal smooth projective surface S of general type, its abelian automorphism group is of order≤36k2.+2., provided x(os)≥8, where Ks is the canonical divisor of S, and X(Os) the Euler... 详细信息

关键词： Projective surface Automorphism group Canonical divisor

DISSIPATIVITY AND EXPONENTIAL STABILITY OF θ-METHODS FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH A BOUNDED LAG

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Journal of Computational Mathematics 2003年第6期21卷 715-726页

作者： Hong-jiong Tian (department of Mathematics, Shanghai normal {2., Shanghai 2.02.4, china) department of Mathematics Shanghai Normal University Shanghai 200234 China

This paper deals with analytic and numerical dissipativity and exponential stability of singularly perturbed delay differential equations with any bounded state-independent lag. Sufficient conditions will be presented to ensure that any solution of the singularly perturbed delay differential equations (DDEs) with a bounded lag is dissipative and exponentially stable uniformly for sufficiently small ε > 0. We will study the numerical solution defined by the linear θ-method and one-leg method and show that they are dissipative and exponentially stable uniformly for sufficiently small ε > 0 if and only if θ = 1.

关键词： Singular perturbation θ-methods Dissipativity Exponential stability.

Synthesis and Structure of Bis(indene-1,2.3-trione 2.oximato)bis(aqua)Mn(Ⅱ): Mn(C_9H_4NO_3)_2.H_2.)_2

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Chinese Journal of Structural chemistry 2003年第2期22卷 133-136页

作者： FENG Yun-Long① (Institute of Physical chemistry, Zhejiang normal {2., Jinhua 32.004, china department of chemistry, Zhejiang normal {2., Jinhua 32.004, china) Institute of Physical chemistry Zhejiang Normal University Jinhua 321004

The title complex, bis(indene-1,2.3-trione 2.oximato)bis(aqua)Mn(Ⅱ), crystallizes in the monoclinic system, space group P2./c with a = 5.2.1(1), b = 16.547(3), c = 9.914(2. ? ?= 100.30(3), V = 839.4(3) 3, Dc = 1.738 g/cm3, F(000) = 446, C18H12.2.8Mn, Mr = 439.2., m(MoKa) = 0.842.mm-1, Z = 2. the final R = 0.02.8 and wR = 0.0782.for 1762.observed reflections (I ≥ 2.(I)). The geometry around Mn(Ⅱ) is a distorted octahedral configuration with the basal plane consisting of two oximo-oxygen and two carbonyl-oxygen atoms from ligand indene-1,2.3-trione 2.oximato, while the axial coordination sites are occupied by two water- oxygen atoms. A plane network is formed by the intermolecular hydrogen bonds. The title complex is the first example of metal complex containing ligand indene-1,2.3-trione 2.oxime.

关键词： manganese(Ⅱ) complex ketoxime indene-1 2 3-trione 2.oxime crystal structure

CURVILINEAR PATHS AND TRUST REGION METHODS WITH NONMONOTONIC BACK TRACKING TECHNIQUE FOR UNCONSTRAINED OPTIMIZATION

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Journal of Computational Mathematics 2001年第3期19卷 241-258页

作者： De-tong Zhu (department of Mathematics, Shanghai normal {2., Shanghai 2.02.4, china) 上海师范大学上海 200234

Focuses on a study which examined the modification of type approximate trust region methods via two curvilinear paths for unconstrained optimization. Properties of the curvilinear paths; Description of a method which combines line search technique with an approximate trust region algorithm; Information on the convergence analysis; Details on the numerical experiments.

关键词： curvilinear paths trust region methods nonmonotonic technique unconstrained optimization

Biological exposure models for oil spill impact analysis

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Journal of Environmental Sciences 2000年第4期12卷 482-485页

作者： XIONG De qi 1, Mark Reed 2. Narve Ekrol 2.(1. department of Marine Environmental Engineering, Dalian Maritime university, Dalian 11602.,{2. E mail: deqi@*** 2. department of Environmental Engineering, SINTEF Applied chemistry Institut 大连海事大学辽宁大连 1 1 6 0 2 SINTEF Applied chemistry Institute 挪威 Trondheim 70 3 4

The oil spill impact analysis (OSIA) software system has been developed to supply a tool for comprehensive, quantitative environmental impact assessments resulting from oil spills. In the system, a biological component evaluates potential effects on exposed organisms based on results from a physico chemical fates component, including the extent and characteristics of the surface slick, and dissolved and total concentrations of hydrocarbons in the water column. The component includes a particle based exposure model for migratory adult fish populations, a particle based exposure model for spawning planktonic organisms (eggs and larvae), and an exposure model for wildlife species (sea birds or marine mammals). The exposure model for migratory adult fish populations simulates the migration behaviors of fish populations migrating to or staying in their feeding areas, over wintering areas or spawning areas, and determines the acute effects (mortality) and chronic accumulation (body burdens) from the dissolved contaminant. The exposure model for spawning planktonic organisms simulates the release of eggs and larvae, also as particles, from specific spawning areas during the spawning period, and determines their potential exposure to contaminants in the water or sediment. The exposure model for wild species calculates the exposure to surface oil of wildlife (bird and marine mammal) categories inhabiting the contaminated area. Compared with the earlier models in which all kinds of organisms are assumed evenly and randomly distributed, the updated biological exposure models can more realistically estimate potential effects on marine ecological system from oil spill pollution events.

关键词： oil spill biological exposure acute effects chronic accumulation migration of fish spawning of eggs and larvae habitat

^(99)Ru and ^(13)C-NMR Spectra for the Tris Chelates of 5-Substituted 1,10-Phenanthrolines with Ruthenium (Ⅱ)

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Chinese Chemical Letters 1998年第8期9卷 765-766页

作者： Xiao Ming XIAO and Takeko MATSUMURA-INO UE2.department of chemistry, Hunan {2. university, Changsha, 410081)(department of chemistry, Nara university of Education, Nara 63O, Japan) department of chemistry Hunan Normal University Changsha 410081 China department of chemistry Nara University of Education Nara 630 Japan

13C and 99Ru-NMR chendcal shifts are reported for the ruthenium(II) tris complexes of5-substitUted 1,10-phenanthrolines. It has been found that both of them are affected by the substituents on the phenanthrolines in a... 详细信息

关键词： NMR spectrum ruthenium(Ⅱ) complex substituent effect

Dynamic behavior of polymer surface and the time dependence of contact angle

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Science china chemistry 2005年第6期48卷 553-559页

作者： WANG Xinping1, CHEN Zhifang1 & SHEN Zhiquan2.1. Key Laboratory of Advanced Textile Materials and Manufacturing Technology of Education Ministry, department of Applied chemistry, Zhejiang Institute of Science and Technology, Hangzhou 310033,{2. 2. department of Polymer Science and Engineering, Zhejiang university, Hangzhou 31002.,{2. 1. department of Applied chemistry Zhejiang Institute of Science and Technology Key Laboratory of Advanced Textile Materials and Manufacturing Technology of Education Ministry 310033 Hangzhou China 2. department of Polymer Science and Engineering Zhejiang University 310027 Hangzhou China

Time-dependent contact angles were measured by depositing sessile drops of wa-ter on the polymer surfaces and monitoring the drop shape as a function of time. It was found that contact angles decreased sharply with contact time and the equilibrium contact angle was finally attained after a certain time. Values of starting (θ s) and equilibrium contact angles (θ e) obtained by the sessile drop method depend on polymer properties. The Wilhelmy plate technique was used to measure advancing and receding contact angles. The variations of starting (θ s) and equilibrium contact angles (θ e), advancing (θ a) and receding contact angles (θ r) have been studied on the oxidized surface of polymers containing polybutadiene block to explore the cause of time-dependence in contact angle measurement and the meaning of θ s and θ e. The results showed the linear relationships between starting (θ s) and advancing contact angles (θ a), the equilibrium (θ e) and receding contact angles (θ r). The similar relationship was also established between the contact angle hysteresis (θ a?θ r) and differences (θ s ?θ e) in starting contact angles and equilibrium contact angles. Therefore, time-dependence in contact angle measurement was mainly attributed to the surface reconstruction when water drops were deposited on polymer surfaces. The starting contact angle was contributed by the hydrophobic component on polymer surface and the equilibrium contact angle mainly by the hydrophilic component of polymer. These results not only demonstrated the interdependency between two contact angle measurements, the sessile drop method and the Wilhelmy plate technique, but also provided the experimental evidence to explain the cause of time-dependent contact angle. This may also provide a new method to study dynamic behavior of polymer surface.

关键词： contact angle, surface dynamic behavior, polymer surface, dynamic contact angle, time-dependence.

Potential control of horseradish peroxidase immobilization on gold electrode

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中国科学：化学英文版 2004年第2期47卷 134-141页

作者： GE Cunwang1,2. YU Wei1, LI Changan1, WANG Nanping2.& GU Ning1 1. Key Laboratory of Molecular and Biomolecular Electronics (Southeast university), Ministry of Education, Research Center for Nano-scale Science and Technology, Southeast university, Nanjing 2.0096,{2. 2. department of chemistry, Nantong Teachers College, Nantong 2.6007,{2. 1. Key Laboratory of Molecular and Biomolecular Electronics (Southeast university) Ministry of Education Research Center for Nano-scale Science and Technology Southeast University 210096 Nanjing China 2. department of chemistry Nantong Teachers College 226007 Nantong China

A new approach based on potential control was firstly used for the immobilization of horseradish peroxidase (HRP) as the model protein. The self-assembly monolayer (SAM) was prepared with 2.aminoethanethiol (AET) on the gold electrode. The charge on HRP was adjusted by means of the acidity of the phosphate buffer solution (PBS) for dissolving the HRP. The in-fluence of electric potential on HRP immobilization was investigated by means of colorimetric immunoassay of enzyme-substrate interaction (CIESI) using an automatic plate reader. The HRP modified electrodes were characterized with X-ray photoelectron spectroscopy (XPS) as well as atomic force microscope (AFM) on template-stripped gold surface. The potential for maximum immobilization of HRP was near the zero charge potential. The result indicates that controlled potential can affect the course of HRP immobilization without the loss of enzymic activity. It is of great significance for the control of biomolecular self-assembly and the intrinsic electric device.

关键词： electric potential control, horseradish peroxidase, immobilization, gold electrode, self-assembly.

Robustness and breakup of the spiral wave in a two-dimensional lattice network of neurons

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Science china(Physics,Mechanics & Astronomy) 2010年第4期53卷 672-679页

作者： MA Jun 1,2. TANG Jun 2., ZHANG AiHua 3 & JIA Ya 2.1 department of Physics, Lanzhou university of Technology, Lanzhou 730050,{2. 2.department of Physics, Central{2. normal university, Wuhan 430079,{2. 3 College of Electrical and Information Engineering, Lanzhou university of Technology, Lanzhou 730050,{2. 1. department of Physics Lanzhou University of Technology Lanzhou 730050 China2. Department of Physics Central China Normal University Wuhan 430079 China3. College of Electrical and Information Engineering Lanzhou University of Technology Lanzhou 730050 China

The robustness and breakup of spiral wave in a two-dimensional lattice networks of neurons are investigated. The effect of small- world type connection is often simplified with local regular connection and the long-range connection with certain probability. The network effect on the development of spiral wave can be better described by local regular connection and changeable long-range connection probability than fixed long-range connection probability because the long-range probability could be changeable in realistic biological system. The effect from the changeable probability for long-range connection is simplified by multiplicative noise. At first, a stable rotating spiral wave is developed by using appropriate initial values, parameters and no-flux boundary conditions, and then the effect of networks is investigated. Extensive numerical studies show that spiral wave keeps its alive and robust when the intensity of multiplicative noise is below a certain threshold, otherwise, the breakup of spiral wave occurs. A statistical factor of synchronization in two-dimensional array is defined to study the phase transition of spiral wave by checking the membrane potentials of all neurons corresponding to the critical parameters(the intensity of noise or forcing current)in the curve for factor of synchronization. The Hindmarsh-Rose model is investigated, the Hodgkin-Huxley neuron model in the presence of the channel noise is also studied to check the model independence of our conclusions. And it is found that breakup of spiral wave is easier to be induced by the multiplicative noise in presence of channel noise.

关键词： spiral wave factor of synchronization breakup multiplicative noise robustness