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Three-dimensional configurations of organic/inorganic hybrid nanostructural blocks (I).A quantum mechanical investigation for ladder-like structure of vinylsilsesquioxane

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Science china chemistry 2004年第5期47卷 388-395页

作者： ZHANG Xingwen1,2. HU Lijiang1, HUANG Yudong1, SUN Dezhi2.& SUN Yi3 1. Department of applied chemistry,Harbin {2. of Technology, HUANG Yudong, Harbin 150001, china 2. Department of Environmental Engineering, Harbin {2. of Technology, Harbin 150001, china 3. Department of Experimental Mechanics,Harbin {2. of Technology, Harbin 150001, china 1. Department of applied chemistry Harbin Institute of Technology HUANG Yudong 150001 Harbin China 2. Department of Environmental Engineering Harbin Institute of Technology 150001 Harbin China 3. Department of Experimental Mechanics Harbin Institute of Technology 150001 Harbin China

The organic/inorganic hybrid nanostructural vinylsilsesquioxanes (VSSO) were prepared from the hydrolytic condensation of vinyltrimethoxysilane (VMS). The proposed formu- las of VSSO were assigned with standard spectroscopic techniques, FTIR, NMR (1H, C and 13 2.Si) and MALDI-TOF MS, and a generic formula of the SSO, Tn(OH)x(OR’)y(x, y = 0, 1, 2.; n = 1, 2.; T = RSiO1.5 ?(x+y)/2.). Geometric parameters (Si-O and Si-C bond lengths, Si-O-Si and O-Si-O bond angles) and total energies of the multi-structures of VSSO were calculated by a quantum mechanical investigation and molecular symmetries. According to the results of the calculation, most molecules had stabler ladder structures than the cage isomers, therefore, the most probably reasonable and optimum structure of the VSSO system was the ladder type.

关键词： vinyltrimethoxysilane (VMS), silsesquioxanes (SSO), sol-gel process, quantum mechanical calculation, MNDO.

New Exact Solutions to (2.1)-Dimensional Variable Coefficients Broer-Kaup Equations

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Communications in Theoretical Physics 2006年第9期46卷 393-396页

作者： ZHU Jia-Min~(1,2.+) MA Zheng-Yi~(1,2. ~1 Department of Physics, Zhejiang Lishui university, Lishui 32.000, china ~2.Shanghai {2. of applied Mathematics and Mechanics, Shanghai 2.0072. china Department of Physics Zhejiang Lishui University Shanghai institute of applied Mathematics and Mechanics

In this paper, using the variable coefficient generalized projected Ricatti equation expansion method, we present explicit solutions of the (2.1)-dimensional variable coefficients Broer-Kaup (VCBK) equations. These solutions include Weierstrass function solution, solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time. Because of the three or four arbitrary functions, rich localized excitations can be found.

关键词： variable coefficient generalized projected Ricatti equation method (2.1)-dimensional variable coefficients Broer Kaup equations Weierstrass function solution solitary wave solution trigonometric function solution

Geometric characterizations for variational minimization solutions of the 3-body problem

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Chinese Science Bulletin 1999年第18期44卷 1653-1655页

作者： LONG Yiming and ZHANG Shiqing1. Nankai institute of Mathematics , Nankai university , Tianjin 300071 ,{2. 2. Department of applied Mathematics, Chongqing university, Chongqing 400044,{2. Associate Member of the ICTP. Nankai institute of Mathematics Nankai University Tianjin China Department of applied Mathematics Chongqing University Chongqing China

For any given positive masses it is proved that the variational minimization solutions of the 3-body problem in 3 or 2.are precisely the planar equilateral triangle circular solutions found by J. Lagrange in 1772. and that the variational minimization solutions of the circular restricted 3-body problem in 3 or 2.are also planar equilateral triangle circular solutions.

关键词： 3-body problem variational minimization equilateral triangle circular solution.

pH effect of· OH radical induced oxidation of phosphoryl- methionine in aqueous solution

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Chinese Science Bulletin 1997年第4期42卷 296-301页

作者： CHUGaosheng, YAO Side, ZHANG Zhicheng, ZHANG Manwei and WANG Wenfeng1.Department of applied chemistry, {2. of Science and Technology of china, Hefei 2.002., china 2.Shanghai institute of Nuclear Research, Chinese Academy of Sciences, Shanghai 2.1800, china Department of applied chemistry University of Science and Technology of China Hefei China Shanghai institute of Nudear Research Chinese Academy of Sciences Shanghai China

STUDIES of radiation chemistry on methionine (Met) were very active in previous years because of its actions of radioprotection to biological systems by quenching·OH radicals. On the other hand, people have paid more and more attention to the researches on the phosphorylation of the biological polymolecules. It is wall known that phosphate ester is regarded as the deposi-

关键词： pulse radiolysis NDM a-amino radical pH effect.

Polynomial solutions of quasi-homogeneous partial differential equations

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Science china Mathematics 2001年第9期44卷 1148-1155页

作者： LUO Xuebo ZHENG Zhujun institute of applied Mathematics, Northwestern Polytechnical {2., Xi’an 710072. china institute of Mathematics, Henan {2., Kaifeng 475001, china 1. institute of applied Mathematics Northwestem Polytechnical University 710072 Xi’an China 2. institute of Mathematics Henan University 475001 Kaifeng China

By means of a method of analytic number theory the following theorem is proved. Letp be a quasi-homogeneous linear partial differential operator with degreem,m > 0, w.r.t a dilation $\left\{ {\delta _\tau } \right\}{\text{ }}_{\tau< 0} $ given by ( a1, …, an). Assume that either a1, …, an are positive rational numbers or $m{\text{ = }}\sum\limits_{j = 1}^n {\alpha _j \alpha _j } $ for some $\alpha {\text{ = }}\left( {\alpha _1 ,{\text{ }} \ldots {\text{ }},\alpha _n } \right) \in l _ + ^n $ Then the dimension of the space of polynomial solutions of the equationp[u] = 0 on ?n must be infinite

关键词： quasi-homogeneous partial differential operator polynomial solution, dimension of the space of solution method of analytic number theory

A trust region algorithm for bilevel programing problems

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Chinese Science Bulletin 1998年第10期43卷 820-824页

作者： LIU Guoshan 1, HAN Jiye 2.and WANG Shouyang 3 1. Department of Mathematics, Beijing Normal university, Beijing 100875, china 2. {2. of applied Mathematics, Chinese Academy of Sciences, Beijing 100080, china 3. {2. of Systems Science, Chi Department of Mathematics Beijing Normal University Beijing China institute of applied Mathematics Chinese Academy of Sciences Beijing China institute of Systems Science Chinese Academy of Sciences Beijing China

A trust region algorithm is proposed for solving bilevel programming problems where the lower level programming problem is a strongly convex programming problem with linear constraints. This algorithm is based on a tr... 详细信息

关键词： bilevel programming problem trust region algorithm global convergence.

Weakly nonlinear stability of ultra-thin slipping films

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Progress in Natural Science:Materials International 2005年第9期15卷 827-831页

作者： HU Guohui(Shanghai institute of applied Mathematics and Mechanics, Shanghai {2., Shanghai 2.0072. china) Shanghai institute of applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

A weakly nonlinear theory is presented to study the effects of slippage on the stability of the ultra-thin polymer films. The nonlinear mathematical model is constructed for perturbations of small finite amplitude based on hydrodynamic equations with the long wave approximation. Results reveal that the nonlinearity always accelerates the rupture of the films. The influences of the slip length, film thickness, and initial amplitude of perturbations on the rupture of the films are investigated.

关键词： ultra-thin film weakly nonlinear theory hydrodynamic stability rupture of thin film.

A study on the reaction of 2.-hydroxychalcones with I_2.H_2.O_4-DMSO system

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Chinese Journal of chemistry 1994年第1期12卷 73-78页

作者： ZHANG, Fang-Jie LI, Yu-LinState Key Laboratory of applied Organic chemistry and {2. of Organic chemistry, Lanzhou university , Lanzhou, Gansu 73000, china State Key Laboratory of applied Organic chemistry and {2. of Organic chemistry Lanzhou University Lanzhou Gansu 73000 China

The reaction of 2.-hydroxychalcones with I_2.H_2.O_4-DMSO system has been studied. The results obtained by us are entirely different from those reported in the literature. The mechanism of this reaction has also been ... 详细信息

关键词： Reaction 2.-hydroxychalcone I_2.H_2.O_4-DMSO system.

On the Maximum Matching Graph of a Graph

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运筹学学报(中英文) 1998年第2期2卷 13-17页

作者： SHIYING WANG JINJIANG YUAN YAN LIU YIXUN LIN (institute of Economics,xinjiang {2., urumqi 830046)(Department of Mathematics, Zhengzhou {2., Zhengzhou 450052. 新疆大学经济学所新疆乌鲁木齐郑州大学数学系河南郑州

Let G be a simple graph and Μ= {M: M is a maximum matching of G}. We define a new graph Μ(G) with point set Μ and line set {M1M2.|M1\M2.= 1, M1, M2.Μ}. Μ(G) is called the maximum matching graph with respect to G... 详细信息

关键词： maximum matching graphs maximum matchings factor-critical graphs