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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 430062, 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.

Multi-resolution representation of digital terrain models with terrain features preservation

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Science China(Technological Sciences) 2008年第S1期51卷 145-154页

作者： LI QingQuan1,WANG Zhi1,2 & YANG BiSheng1 1 State Key Laboratory of Information Engineering in Surveying,Mapping and Remote Sensing,wuhan university,wuhan 43007.,China 2 School of Remote Sensing and Information Engineering,wuhan university,wuhan 43007.,China 1. State Key Laboratory of Information Engineering in Surveying Mapping and Remote Sensing Wuhan University Wuhan 430079 China2. School of Remote Sensing and Information Engineering Wuhan University Wuhan 430079 China

multi-resolution TIN model is an important issue in the contexts of visu-alization,virtual reality (VR),and geographic information systems (GIS). This paper proposes a new method for constructing multi-resolution TIN models with multi-scale topographic features preservation. The proposed method is driven by a half-edge collapse operation in a greedy framework and employs a new quadric error metric to efficiently measure geometric errors. We define topographic features in a multi-scale manner using a center-surround operator on Gaussian-weighted mean curvatures. Experimental results demonstrate that the proposed method performs better than previous methods in terms of topographic features preservation,and is able to achieve multi-resolution TIN models with a higher accuracy.

关键词： digital terrain models level of detail differential-geometry quadric error metrics topographic feature

Weak martingale Hardy spaces and weak atomic decompositions

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Science China Mathematics 2006年第7期49卷 912-921页

作者： HOU Youliang & REN Yanbo School of Mathematics and Statistics, wuhan university, wuhan 43007., China Department of Mathematics & Physics, Henan university of Science and Technology, Luoyang 47.003, China 1. School of Mathematics and Statistics Wuhan University Wuhan 430072 China 2. Department of Mathematics & Physics Henan University of Science and Technology Luoyang 471003 China

In this paper we define some weak martingale Hardy spaces and three kinds of weak atoms. They are the counterparts of martingale Hardy spaces and atoms in the classical martingale Hp-theory. And then three atomic decomposition theorems for martingales in weak martingale Hardy spaces are proved. With the help of the weak atomic decompositions of martingale, a sufficient condition for a sublinear operator defined on the weak martingale Hardy spaces to be bounded is given. Using the sufficient condition, we obtain a series of martingale inequalities with respect to the weak Lp-norm, the inequalities of weak (p ,p)-type and some continuous imbedding relationships between various weak martingale Hardy spaces. These inequalities are the weak versions of the basic inequalities in the classical martingale Hp-theory.

关键词： martingale, weak Hardy space, weak atom, atomic decomposition.

Conformation-activity studies on the interaction of berberine with acetylcholinesterase:Physical chemistry approach

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Progress in Natural Science:Materials International 2009年第12期19卷 1721-1725页

作者： Jin Xiang~(a,1),Changping Yu~(b,1),Fang Yang~c,Ling Yang~a,Hong Ding~(a,*) a College of Pharmacy,wuhan university,wuhan 43007.,China b Department of Respiratory Diseases,Renmin Hospital,wuhan university,wuhan 430060,China c Department of Physiology,College of Basic Medicine,wuhan university,wuhan 43007.,China [a]College of Pharmacy Wuhan University Wuhan 430072 China [b]Department of Respiratory Diseases Renmin Hospital Wuhan University Wuhan 430060 China [c]Department of Physiology College of Basic Medicine Wuhan University Wuhan 430071 China

Berberine has been reported as an acetylcholinesterase(AChE) *** significantly low cytotoxicity,berberine will be developed for the clinical treatment of Alzheimer disease(AD) with higher efficacy and fewer side *** work investigated the structure change events of AChE that occur during the interaction with berberine by isothermal titration calorimetry(ITC),fluorescence titration, and circular dichroism(CD).The results show that the binding of berberine to AChE is mainly driven by a favorable entropy increase with a less weak *** causes a loss in enzymatic activity at a concentration much below the concentration which gradually exposed the tryptophan residues to a more hydrophilic environment and unfolded the protein,which indicates that the inhibition of AChE with berberine includes the main contributions of interaction and minor conformation change of the protein induced by the alkaloid.

关键词： Acetylcholinesterase Berberine Interaction Isothermal titration calorimetry Spectroscopy

Synthesis of β-Cyclodextrin Bonded Metal Porphyrins

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Chinese Chemical Letters 2000年第6期11卷 493-494页

作者： Zao Ying LI Cong LI Xu Ye WU Yue Ning ZHANG (Department of Chemistry ,wuhan university, wuhan 43007.) wuhan Univ Dept Chem Wuhan 430072 Peoples R China

6-Deoxy- 6-iodo-β-cyclodextrin (1) reacted with 5-(p-aminophenyl)-10, 15,20-triphenyl porphyrin(2), 5-(p-aminophenyl)-10,15,20-triphenyl nickel(Ⅱ) porphyrin [NiⅡTPPNH2P](3),5-(p-aminophenyl)-10,15,20-triphenyl manganese(Ⅲ) porphyrin [MnⅢTPPNH2P] (4) and 5-(p-aminophenyl)-10,l5,20-triphenyl carbonyl ruthenium porphyrin [RuⅡ (CO)TPPNH2P] (5) to generate the compounds 6-9, respectively. Those new compound 5-9 have been identified by 1H NMR, IR, MS and UV-visible spectra and elemental analysis.

关键词： β-Cyclodextrin metal porphyrins synthesis

SINGULAR INTEGRAL EQUATIONS ALONG AN OPEN ARC WITH SOLUTIONS HAVING SINGULARITIES OF HIGHER ORDER

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Acta Mathematica Scientia 2005年第2期25卷 193-200页

作者：钟寿国 School of Mathematics and Statistics wuhan university Wuhan 430072 China

In this paper, the difficulties on calculation in solving singular integral equations are overcome when the restriction of curve of integration to be a closed contour is cancelled. When the curve is an open arc and the solutions for singular integral equations possess singularities of higher order, the solution and the solvable condition for characteristic equations as well as the generalized Noether theorem for complete equations are given.

关键词： Open arc singular integral equation solutions with singularity of higher order Noether theorem characteristic equation

Investigation of Plant Systemic Organoselena Compounds (Ⅰ) Synthesis of Selena-Morpholind and its Derivatives

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Chinese Chemical Letters 1997年第11期8卷 947-948页

作者： Han Sheng XU Jun WU Wei Ping LI Xiu Fang LIU (Department of Chemistry, wuhan university,wuhan 43007.) Department of Chemistry Wuhan University Wuhan 430072 China

The synthesis of selena-morpholine and its derivatives is described.

关键词： Investigation of Plant Systemic Organoselena Compounds Synthesis of Selena-Morpholind and its Derivatives

THEORETICAL DESIGN AND MOTION PLANNING OF NONHOLONOMIC MANIPULATOR

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Chinese Journal of Mechanical Engineering 2004年第2期17卷 222-225页

作者： Tan Yuegang Deng Yuhui WU Zhengping School of Mechanical and Electronic Engineering,wuhan university of Technology,wuhan 43007., China Department of Science and Technology Studies University College London WC1E 6BT UK School of Mechanical and Electronic Engineering Wuhan University of Technology Wuhan 430070 China

A new nonholonomic transmission mechanism is proposed based on thenonholonomic theory and nonlinear control principle, and combined with conditions of thenonholonomic motion planning and control, that is researched to compose method of the motiontransfer chain from this transmission mechanism, on which a new nonholonomic manipulator isdesigned. This nonholonomic manipulator is a controllable multi-joint manipulator that actuated onlyby two-servo electromotor. Its motion expresses the characteristic of nonholonomy constraint andnonlinear, and that also satisfies the chained form convertibility. And then, using the nonlinearcontrol principle of chained system, motion characteristic of the nonholonomic manipulator isapplied. From simulation verification and analysis, the usefulness of the theoretical design andcontrol strategies is shown, and that is important in design and research of handiness robot andmulti-finger robot hand.

关键词： Nonholonomic system Nonholonomic motion planning Nonlinear controlMulti-joint Manipulator

ONCOMELANIA'S ECO-HYDRAULIC PROPERTY AND ITS UTILIZATION

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Journal of Hydrodynamics 1999年第1期11卷 33-40页

作者： Li Da-mei (Department of River Engineering, wuhan university of Hydraulinc and Electric Engineering, wuhan 43007., P. R. China ) wuhan Univ of Hydraulic and Electric Engineering Wuhan China

Oncomelania is the middle-parasitizeder of schistosome. The diffusion of Oncomelania with current will lead to the spread of schistosomiasis. River mechanics has been used in this paper. A systematic research with model test is engaged separately on Oncomelania hydrodynamic property. its sensitivity to water depth and velocity. Through this systematic experiment, a new thchnique of intake water without Oncomelania has been discovered. The technique can be widely applied to irrigation engineering.

关键词： Oncomelania eco-hydraulics sensitivity to water depth technique of intake water without Oncomelania