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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.

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 university, {4.072, 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

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 university,Beijing 100871,China 3 Faculty of Sciences,Beijing institute of Technology,Beijing 100081,China 4 School of Mathematical Sciences,Shanxi university,Taiyuan 030006,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

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 4.0072, hubei, China 2. School of mathematics and Computer, Ningxia university, Yinchuan 750021, Ningxia, China 3. Department of mathematics, hubei institute for Nationalities, Enshi 44.000, 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

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 4.0074, 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

Multispectral image fusion method based on intensity-hue-saturation and nonsubsampled three-channels non-separable wavelets

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Chinese Optics Letters 2010年第4期8卷 384-387页

作者：刘斌刘维杰彭嘉雄 School of mathematics and Computer Science hubei university Computer School Wuhan University institute of Image Recognition and Artificial Intelligence Huazhong University of Science and Technology

A new multispectral image fusion method based on intensity-hue-saturation（IHS） transform and threechannel non-separable wavelets whose dilation matrix is[2,1;1,1]is *** multi-resolution decompositions of the intensity of multispectral image and panchromatic image are performed in nonsubsampled mode using the three-channel non-separable wavelet filter *** approximation images and the detail images of the multi-resolution pyramids are *** experimental results show that this method has good visual *** performance outperforms the IHS fusion *** discrete wavelet transform （DWT） fusion method,and the IHS-DWT fusion method in preserving spectral quality and high spatial resolution information.

关键词： Decomposition Discrete wavelet transforms Filter banks Visual communication

PREPARATION,CHARACTERIZATION AND HYDROGENATION PROPERTY OF POLYMER-SUPPORTED Pd-Fe_2O_3 COMPOSITE CATALYSTS

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Journal of wuhan university of Technology(Materials Science) 1999年第4期14卷 48-52页

作者： ZHANG Shengmin HU Weibing ZHANG Manzheng wuhan university of Technology hubei Research institute of Chemistry wuhan university of Technology China Sch. of Mat. Science and Engineering Wuhan University of Technology Wuhan 430070 China hubei Res. institute of Chemistry China

A series of polymer- supported Pd -Fe2O3 composite catalysts were prepared and their hydrogenation property mas investigated. It was found that the above catalysts have good catalytic hydrogenation activity for carbon - carbon double bonds systems and reusability. Furthermore, XPS and IR spectra shouted that active component in the composite catalysts is atomic Pd(0). An addition of a small amount of Fe2O3 has a promotive action upon hydrogenation activity of the catalysts, which indicated that there are some strong interactions (electron transfer) between Pd(0) and Fe(Ⅲ) species. Based on these results, a possible catalytic hydrogenation mechanism was also suggested.

关键词： functional material polymet-sup- ported catalyst composite Pd - F2O3/polystyrene hydrogenation mechanism

Harmonic maps with potential from complete manifolds

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Chinese Science Bulletin 1998年第21期43卷 1780-1786页

作者： CHEN Qun mathematics Department, Central China Normal university, wuhan 4.0079, China institute of mathematics, Fudan university, Shanghai 200433, China mathematics Department Central China Normal University Wuhan China institute of mathematics Fudan University Shanghai China

Harmonic maps with potential from complete manifolds are considered. This is a new kind of maps more general than the usual harmonic maps relating to many interesting problems such as equilibrium system of ferromagnetic spin chain and Neumann motion. Aiming at the general properties, the author derives basic gradient estimates and then Liouville type results for these maps, which are interesting in constrast to those of the usual harmonic maps for the presence of potentials.

关键词： harmonic maps potential ferromagnetic chain gradient estimate.

ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

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Acta Mathematica Scientia 1999年第3期19卷 272-278页

作者：李炳章余旌胡 wuhan Univ Dept Math Wuhan 430072 Peoples R China Acad Sinica Wuhan Inst Phys & Math Wuhan 430071 Peoples R China

This paper investigates the property of super-Brownian motion conditioned on non-extinction. The authors obtain a representation of Laplace functional for the weighted occupation time of this class of processes. By th... 详细信息

关键词： super-Brownian motion non-extinction weighted occupation the support of measure