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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 Statistics, wuhan university, wuhan 43.072, hubei, China 2. School of mathematics and Computer, Ningxia university, Yinchuan 750021, Ningxia, China 3. Department of mathematics, hubei institute for Nationalities, Enshi 445000, hubei, China wuhan university School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Ningxia university School of Mathematics and Computer Yinchuan Ningxia China (GRID:grid.260987.2) (ISNI:***) wuhan university School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) hubei institute for Nationalities Department of Mathematies Enshi Hubei China (GRID:grid.34418.3a) (ISNI:***)

We have discussed and solved the boundary value problem with period 2aπ 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

The first cohomology group of trivial extensions of special biserial algebras

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Science China mathematics 2004年第4期47卷 578-592页

作者： XU YungeDepartment of mathematics & Computer Sciences, hubei university, wuhan 4.0062, China 1. Department of mathematics & Computer Sciences Hubei University 430062 Wuhan China 2. institute of mathematics Chinese Academy of Sciences 100080 Beijing China

Given a finite dimensional special biserial algebra A with normed basis we obtain the dimension formulae of the first Hochschild homology groups of A and the vector space Alt(DA). As a consequence, an explicit dimension formula of the first Hochschild cohomology group of trivial extension TA = A × DA in terms of the combinatorics of the quiver and relations is determined.

关键词： Hochschild (co)homology, trivial extension, special biserial algebra.

Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space

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Science China mathematics 2010年第4期53卷 953-965页

作者： NIE ChangXiong 1,2,LI TongZhu 3.HE YiJun 4 & WU ChuanXi 5 1 Faculty of mathematics and Computer Sciences,hubei university,wuhan 4.0062,China 2 School of Mathematical Sciences,Peking {3.,Beijing 100871,China 3.Faculty of Sciences,Beijing institute of Technology,Beijing 100081,China 4 School of Mathematical Sciences,Shanxi {3.,Taiyuan 03.006,China 5 institute of mathematics,hubei university,wuhan 4.0062,China 1. Faculty of mathematics and Computer Sciences Hubei University Wuhan 430062 China2. School of Mathematical Sciences Peking University Beijing 100871 China3. Faculty of Sciences Beijing Institute of Technology Beijing 100081 China4. School of Mathematical Sciences Shanxi University Taiyuan 030006 China5. Institute of Mathematics Hubei University Wuhan 430062 China

The conformal geometry of regular hypersurfaces in the conformal space is *** classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to confor... 详细信息

关键词： Lorentz conformal geometry conformal invariants conformal isoparametric hypersurfaces

Statistical Inference for Simple Tree Order in the Means of Stochastic Order on Stratified Contingency Tables

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wuhan university Journal of Natural Sciences 2010年第2期15卷 93-98页

作者： YAN Guoyi1,2, CHEN Jingjing3.1.School of mathematics and Statistics, wuhan university, wuhan 43.072, hubei, China 2. School of Sciences, wuhan institute of Technology, wuhan 43.074, hubei, China 3. School of Sciences, wuhan university of Science and Technology, wuhan 43.081, hubei, China School of mathematics and Statistics Wuhan University Wuhan China School of Sciences Wuhan Institute of Technology Wuhan China School of Sciences Wuhan University of Science and Technology Wuhan China

In this paper, we consider testing the hypothesis that all multinomial populations in the stratified contingency table are identically distributed against the alternative that all these popula- tions are in simple tree order. We provide an asymptotic represen- tation of the order-restricted maximum likelihood estimate of the unknown parameters. The resulting estimators are proven to be ~n-consistent and asymptotically normal under appropriate conditions. A chi-squared test method is used for this hypothesis test problem. A real data set is applied to illustrate our theoretical result.

关键词： simple tree order chi-squared test asymptotic representation asymptotic distribution

Multi-spectral image fusion method based on two channels non-separable wavelets

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Science in China(Series F) 2008年第12期51卷 2022-2032页

作者： LIU Bin1,2 & PENG JiaXiong3.1 School of mathematics and Computer Science, hubei university, wuhan 4.0062, China 2 Key Laboratory of Applied mathematics of hubei Province, wuhan 4.0062, China 3.institute of Image Recognition and Artificial Intelligence, Huazhong university of Science and Technology, wuhan 43.074, China 1. School of mathematics and Computer Science Hubei University Wuhan 430062 China 2. Key Laboratory of Applied mathematics of hubei Province Wuhan 430062 China 3. institute of Image Recognition and Artificial Intelligence Huazhong University of Science and Technology Wuhan 430074 China

A construction method of two channels non-separable wavelets filter bank which dilation matrix is [1, 1; 1,-1] and its application in the fusion of multi-spectral image are presented. Many 4×4 filter banks are designed. The multi-spectral image fusion algorithm based on this kind of wavelet is proposed. Using this filter bank, multi-resolution wavelet decomposition of the intensity of multi-spectral image and panchromatic image is performed, and the two low-frequency components of the intensity and the panchromatic image are merged by using a tradeoff parameter. The experiment results show that this method is good in the preservation of spectral quality and high spatial resolution information. Its performance in preserving spectral quality and high spatial information is better than the fusion method based on DWFT and IHS. When the parameter t is closed to 1, the fused image can obtain rich spectral information from the original MS image. The amount of computation reduced to only half of the fusion method based on four channels wavelet transform.

关键词： image fusion non-separable wavelets multi-spectral image panchromatic image

COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES

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Acta Mathematica Scientia 2004年第2期24卷 206-212页

作者：王茂发刘培德 SchoolofmathematicsandStatistics WuhanUniversityWuhan430072China

This paper studies the collective compactness of composition operator sequences between the Bergman and Hardy spaces. Some sufficient and necessary conditions involving the generalized Nevanlinna counting functions fo... 详细信息

关键词： Bergman space Hardy space composition operator collectively compact operator sequence

The characteristics of arc beam shaping in hybrid plasma and laser deposition manufacturing

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Science China(Technological Sciences) 2006年第2期49卷 238-247页

作者： ZHANG Hai’ou1, QIAN Yingping1,3. WANG Guilan1 & ZHENG Qiguang2 1. School of Material Science and Technology, Huazhong university of Science and Technology, wuhan 43.074, China 2. institute of Laser Technology and Engineering, Huazhong university of Science and Technology, wuhan 43.074, China 3. Mechanical Engineering College, hubei university of Technology, wuhan 43.068, China 1. School of Material Science and Technology Huazhong University of Science and Technology Wuhan 430074 China 3. Mechanical Engineering College Hubei University of Technology Wuhan 430068 China 2. institute of Laser Technology and Engineering Huazhong University of Science and Technology Wuhan 430074 China

As a new direct metal prototyping technology,the hybrid plasma and laser deposition manufacturing (PLDM) is proposed in this paper. In order to figure out the characteristics of plasma arc beam and mould in the PLDM process of high temperature alloy, the high speed CCD camera is used to obtain the picture around the plasma arc. Afterwards the sketch of picture is clearly obtained. And the effect of laser parameter, such as average power, pulse width, pulse repetition frequency and the angle between laser beam and plasma arc beam on the plasma arc appearance, is studied experimentally. The results show that the modality of plasma arc beam is markedly influenced by laser beam. And the improvements of shape precision and surface state of the layer deposited by PLDM are confirmed.

关键词： plasma hybrid laser, direct deposition, plasma arc beam, molding character, high-temperature alloy.

A Characterization for the Gevrey-Sobolev Wave Front Set

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Acta Mathematica Sinica,English Series 2001年第2期17卷 295-300页

作者： Hua CHEN institute of mathematics, wuhan {3., wuhan 43.072, P. R. China institute of mathematics Wuhan University Wuhan 430072 P. R. China

In this note, we use the so-called microlocal energy method to give a characterization of the Gevrey-Sobolev wave front set WF(HT,σS （u）, which will be useful in the study of non-linear microlocal analysis in Gevre... 详细信息

关键词： Gevrey-Sobolev space Wave front set Microlocal energy method

CMC surfaces in the hyperbolic 3.space

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Chinese Science Bulletin 1998年第7期43卷 547-550页

作者： YU Zuhuan 1, 2 and LI Zhenqi 1, 3.1. institute of mathematics, Fudan university, Shanghai 20043., China 2. Department of mathematics,Sichuan Union university, Chengdu 610064, China 3. Department of mathematics, Nanchang university, Nanchang 3. nstitute of Mathemalics Fudan University Shanghai China Department of mathematics Sichuan Union University Chengdu China Department of mathematics Nanchang University Nanchang China

CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.

关键词： hyperbolic space CMC surface Weierstrass representation.