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A Principal Theorem of Normal Discretization Schemes for Operator Equations of the First Kind

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Wuhan university Journal of Natural Sciences 2001年第4期6卷 767-768页

作者： Du Nai lin 1, Wang Hannah 2.1.school of mathematics and {2., Wuhan university, Wuhan 430072. china 2. school of Foreign Languages and Literature,Wuhan university,Wuhan 430072.china school of mathematics and {2. Wuhan University Wuhan China school of Foreign Languages and Literature Wuhan University Wuhan China

The authors announce a newly-proved theorem of theirs. This theorem is of principal significance to numerical computation of operator equations of the first kind.

关键词： operator equation of the first kind normal discretization scheme pure pseudoinverse

On the Symmetry Classes of Functions

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Wuhan university Journal of Natural Sciences 2005年第5期10卷 813-816页

作者： ZHU Ping~1,2. FAN Yun~3 1. school of mathematics and {2., Wuhan university, Wuhan 430072. hubei, china 2. school of Science, Beijing university of Posts and Telecommunications, Beijing 100876, china 3. school of mathematics and {2., Huazhong Normal university, Wuhan 430079, hubei, china school of mathematics and {2. Wuhan University Wuhan Hubei China school of Science Beijing University of Posts and Telecommunications Beijing China school of mathematics and {2. Huazhong Normal University Wuhan Hubei China

Let R be an integral domain of characteristic zero such that the corresponding group rings have block decompositions. We first prove that the submodule consisting of all the R-valued ξi-symmetric functions of several variables is a symmetry class, where ξi is any block character. Then we present a relationship among certain operators introduced for block character. Then we present a relationship among certain operators introduced for block characters. As a consequence, we obtain a decomposition of an arbitrary R-valued function of several variables. Finally, we describe the symmetry property of such summands and determine all the symmetry classes.

关键词： symmetry class strict symmetry class blockcharacter ξi-symmetric function block idempotent

Evaluation Method of Web Site Structure Based on Web Structure Mining

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Wuhan university Journal of Natural Sciences 2003年第3A期8卷 791-796页

作者： Li Jun\|e 1 , Zhou Dong\|ru 2.1. Computer Center,Wuhan university, Wuhan 430072. {2., china 2. school of Computer,Wuhan university, Wuhan 430072. {2.,china Computer Center Wuhan University Wuhan Hubei China school of Computer Wuhan University Wuhan Hubei China

The structure of Web site became more complex than before. During the design period of a Web site, the lack of model and method results in improper Web structure, which depend on the designer's experience. From the point of view of software engineering, every period in the software life must be evaluated before starting the next period's work. It is very important and essential to search relevant methods for evaluating Web structure before the site is completed. In this work, after studying the related work about the Web structure mining and analyzing the major structure mining methods (Page\|rank and Hub/Authority), a method based on the Page\|rank for Web structure evaluation in design stage is proposed. A Web structure modeling language WSML is designed, and the implement strategies for evaluating system of the Web site structure are given out. Web structure mining has being used mainly in search engines before. It is the first time to employ the Web structure mining technology to evaluate a Web structure in the design period of a Web site. It contributes to the formalization of the design documents for Web site and the improving of software engineering for large scale Web site, and the evaluating system is a practical tool for Web site construction.

关键词： web structure mining page\|rank web structure evaluation modeling language for web structure

Electronic Structure of Doped Trans-Polyacetylene

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Wuhan university Journal of Natural Sciences 2002年第1期7卷 51-53页

作者： Ren Da-zhi 1,2. Zhuang Wei 2. Wang Jun 2.1. Wuhan university Journals Press,Wuhan 430072.{2.,china 2. school of Physics and Technology, Wuhan university, Wuhan 430072.{2.,china Wuhan university Journals Press Wuhan Hubei China school of Physics and Technology Wuhan University Wuhan Hubei China

The behavior of electronic structures of doped trans-polyacetylene is revealed by a simple method. (C2.H2.)+n is used to simulate p-type doped trans-polyacetylene at various doping concentrations. The electronic structure is calculated, by CNDO/2.method. These calculations show that at low doping level, the decrease of electronic energy compensates the increase of elastic energy, thus the bond alternation exists, and the charge carriers are solitons. When doping level is high, the increase of elastic energy is larger than the decrease, of electronic energy, the bond alternation disappears, solitons no longer exist, and polyacetylene is in a metalic state.

关键词： trans polyacetylene CNDO/2 electronic structure doped

A Note on the Multifractal Decomposition of Directed Graph Self Similar Sets

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Wuhan university Journal of Natural Sciences 2004年第3期9卷 269-272页

作者： Zheng Shui-cao 1,2., Hu Di-he 1 1. school of mathematics and {2., Wuhan university , Wuhan 430072. hubei, china 2. The Basic Teaching Department, Jimei university, Xiamen 36102., Fujian, china school of mathematics and {2. Wuhan University Wuhan Hubei China The Basic Teaching Department Jimei University Xiamen Fujian China

We investigated the directed graph self similar sets under some weak overlapping condition. We get the multifractal decomposition formulas for these sets, i. e., dimK u a =DimK u a =f(a), wheref is the multifractal spectral function of the directed graph self similar measure, Especially, the results improve that of Edgar and Mauldin to the case which allows certain overlapping. Key words Hausdorff dimension - Hausdorff measure - multifractal decomposition CLC number O 2.1. 6 Foundation item: Supported by the National Natural Science Foundation of china (10371092. and the Foundation of Wuhan universityBiography: Zheng Shui-cao (1973-), male, Ph. D candidate, research direction: stochastic processes and random fractals.

关键词： Hausdorff dimension Hausdorff measure multifractal decomposition

Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order

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Wuhan university Journal of Natural Sciences 2005年第2期10卷 339-343页

作者： HAN Hui-li 1,2.,DU Jin-yuan 1,3 1. school of mathematics and {2., Wuhan university, Wuhan 430072. hubei, china 2. school of mathematics and Computer, Ningxia university, Yinchuan 75002., Ningxia, china 3. Department of mathematics, hubei Institute for Nationalities, Enshi 445000, hubei, china school of mathematics and {2. Wuhan University Wuhan Hubei China school of mathematics and Computer Ningxia University Yinchuan Ningxia China Department of Mathematies Hubei Institute for Nationalities Enshi Hubei China

We have discussed and solved the boundary value problem with period 2.π and the singular integral equation with kernel csc t-tv/a in solution having singularities of high order, where the smooth contour of integratio... 详细信息

关键词： boundary value problem singular integral equation the singularities of high order

An Overview on Wavelet Software Packages

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Wuhan university Journal of Natural Sciences 2001年第Z1期6卷 593-600页

作者： Fan Qi\|bin 1, Li Hong 2.1. school of mathematics and {2., Wuhan university, Wuhan 430072. china 2. school of Electronic Information, Wuhan university, Wuhan 430072. china school of mathematics and {2. Wuhan University Wuhan China school of Electronic Information Wuhan University Wuhan China

Wavelet analysis provides very powerful problem\|solving tools for analyzing, encoding, compressing, reconstructing, and modeling signals and images. The amount of wavelets\|related software has been constantly multiplying. Many wavelet analysis tools are widely available. This overview represents a significant survey for many currently available packages. It will be of great benefit to engineers and researchers for using the toolkits and developing new software. The beginner to learning wavelets can also get a great help from the review. If you browse around at some of the Internet sites listed in the reference of this paper, you may find more plentiful wavelet resources.

关键词： wavelet transforms image compression matching pursuit lifting MATLAB

Polarity for a Class of Levy Processes

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Wuhan university Journal of Natural Sciences 2002年第4期7卷 394-398页

作者： Wu Chuan ju 1,2., Liu Lu qin 1 1. school of mathematics and {2., Wuhan university, Wuhan 430072. hubei, china 2. College of Urban Construction, Wuhan university of Science and Technology, Wuhan 430070, hubei, china school of mathematics and {2. Wuhan University Wuhan Hubei China College of Urban Construction Wuhan University of Science and Technology Wuhan Hubei China

Polar set of Markov processes is an important concept in probabilistic potential theory, but it is not easy to judge the polarity of the sets. In this paper, we give some results which can be easily used to examine the polarity of the sets whenX t belongs to a special class of Levy processes. We also give a result about polar functions of symmetric stable processes.

关键词： Levy process subordinator (essentially) polar set polar function

Effect of Substrate-Water Interaction on the Wetting Behavior in Water-Oil and Substrate-Water-Oil Systems

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Wuhan university Journal of Natural Sciences 2003年第4A期8卷 1097-1102页

作者： Yuan Yin-quan 1,2., Zou Xian-wu 1 , Jin Zhun-zhi 1 1. school of Physics and Technology, Wuhan university, Wuhan {2. hubei, china 2. Department of Physics, Xiaogan university, Xiaogan 432.00, hubei, china school of Physics and Technology Wuhan University Wuhan Hubei China Department of Physics Xiaogan University Xiaogan Hubei China

The effects of the substrate-water interaction on the wetting behavior in water-oil and surfactant-water-oil systems confined by one substrate which has the preferential interaction to one species of particles have been investigated by using the free energy analysis and discontinuous molecular dynamic simulations. As the preferential interaction between the substrate and water particles varies from small repulsion to large attraction, the partial drying, partial wetting and complete wetting state are observed in sequence. In addition, the wetting behavior of surfactant aqueous solution on the substrate is not only dependent on the interaction, but also limited by the maximum equilibrium concentration of surfactants at the interface.

关键词： wetting behavior wetting transition preferential interaction substrate