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A General Solution for Trinomial Linear Recurrence with Two Indices

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wuhan university Journal of Natural Sciences 2011年第3期16卷 190-192页

作者： yu chang'an school of mathematics and statistics Wuhan University Wuhan 430072 Hubei China

In this paper, we present the explicit formula of general solution for a class of homogeneous trinomial recurrence of variable coefficients with two indices by applying iteration and induction. It provides a concrete ... 详细信息

关键词： a formula of general solution homogeneous trinomial recurrence variable coefficients two indices

A Constraction of General Solution for a Class of Non-Homogeneous Recurrence of Variable Coefficients with Two Indices

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wuhan university Journal of Natural Sciences 2000年第4期5卷 379-385页

作者： yu chang-an College of mathematics and Computer Science, wuhan university, wuhan 430072,china College of mathematics and Computer Science Wuhan UniversityWuhan 430072China

In this paper, we obtain an explicit formula of general solution for a class of the non-homogeneous recurrence of variable coefficients with two indices.

关键词： two indices variable coefficients non homogeneous recurrence explicit solution

A Note on Abelian Extensions

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wuhan university Journal of Natural Sciences 2008年第1期13卷 6-8页

作者： yu Chuxiong1,2, FAN yun3 1. school of mathematics and statistics, wuhan university, wuhan 430072, hubei, china 2. school of mathematics and Computer Science, Jianghan university, wuhan 430056, hubei, china 3. school of mathematics and statistics, Huazhong Normal university, wuhan 430079, hubei, china school of mathematics and statistics Wuhan University Wuhan China school of mathematics and Computer Science Jianghan University Wuhan China school of mathematics and statistics Huazhong Normal University Wuhan China

Let K/Q be any abelian extension where Q is the field of rational numbers. By Galois theory and the Frobenius formula for induced characters, we prove that there exists a metabelian group G and an irreducible characte... 详细信息

关键词： abelian extensions metabelian groups induced characters Galois groups

Equivalence problem for Bishop surfaces

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Science china mathematics 2010年第3期53卷 687-700页

作者： HUANG XiaoJun 1, & YIN WanKe 2 1 Department of mathematics, Rutgers university, New Brunswick, NJ 08902, USA 2 school of mathematics and statistics, wuhan university, wuhan 430072, china Department of mathematics Rutgers University New Brunswick USA school of mathematics and statistics Wuhan University Wuhan China

The paper has two parts. We first briefly survey recent studies on the equivalence problem for real submanifolds in a complex space under the action of biholomorphic transformations. We will mainly focus on some of the recent studies of Bishop surfaces, which, in particular, includes the work of the authors. In the second part of the paper, we apply the general theory developed by the authors to explicitly classify an algebraic family of Bishop surfaces with a vanishing Bishop invariant. More precisely, we let M be a real submanifold of C 2 defined by an equation of the form w = zz + 2Re(z s + az s+1 ) with s≥ 3 and a a complex parameter. We will prove in the second part of the paper that for s≥ 4 two such surfaces are holomorphically equivalent if and only if the parameter differs by a certain rotation. When s = 3, we show that surfaces of this type with two different real parameters are not holomorphically equivalent.

关键词： equivalence problem Bishop surface Chern-Moser theory elliptic and hyperbolic complex tangents normal form and modular space

Breakthrough in Li-mediated continuous electrosynthesis of ammonia

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Science china Chemistry 2024年第10期67卷 3191-3192页

作者： Fei Zhan chang yu State Key Laboratory of Chemical Resource Engineering College of Chemical EngineeringBeijing University of Chemical TechnologyBeijing 100029China State Key Laboratory of Fine Chemicals Liaoning Key Lab for Energy Materials and Chemical EngineeringSchool of Chemical EngineeringDalian University of TechnologyDalian 116024China

Ammonia(NH3)ranks among the manufactured chemicals,with an annual production surpassing 182 million tons[1],which is an indispensable raw material for fertilizer industry and has been recognized as a promising carbon-... 详细信息

关键词： ammonia Ammonia suppl

A Microenvironment, Rather than Chemical, Initiates the Cardiomyogenic Differentiation of Marrow Stromal Cells

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wuhan university Journal of Natural Sciences 2004年第4期9卷 513-521页

作者： LIU Wei-xin 1,2 , SONG Jian 1 , WAN yu 1, PAN Guo-dong 1 , LIU yu 1 , CHENG Bang-chang 2 ,CHEN Xi-chang 1 1. school of Medicine, wuhan university, wuhan 430071, hubei, china 2. Renmin Hospital, wuhan university, wuhan 430060, hubei, china Sch. of Medicine Wuhan Univ. Wuhan 430071 China Renmin Hospital Wuhan Univ. Wuhan 430060 China

To investigate the potential of cardiomyogenic differentiation of rat bone marrow stromal cells (MSCs), they were exposed to 5-azacytidine tretments (single/repeat) at varying concentrations (3, 5, 10 μmol/L) and the fates of the cells were analyzed by immunocytochemistry, Western blot and the reporter gene of enhanced cyan fluorescent protein (ECFP) under the control of ventricular myosin light chain 2 (MLC2v) promoter. MSCs were also cocultured with cardiomyocytes for periods up to 16 days, the expression of cardiac myosin heavy chain (MHC) and troponin I (Tn I) proteins was analyzed. After the induction with 5-azacytidine, neither spontaneously beating cells nor myotubes were found; MHC and Tn I proteins were also undetectable and no ECFP-positive MSCs were detected. But when cocultured with cardiomyocytes, spontaneously contracting MSCs were observed and cardiac specific proteins could be detected. The results proved that the novel effects of 5-azacytidine on the cardiomyogenic differentiation of MSCs should be questioned and a direct intercellular communication with cardiomyocytes is necessary for MSCs to differentiate into cardiomyocytes. Key words cardiomyocyte - cell differentiation - stem cell CLC number Q 813.5 - R 542.2+2 Foundation item: Supported by the Natural Science Foundation of hubei Province (2002AB00150)Biography: LIU Wei-xin (1976-), male, Ph. D candidate, research direction: stem cell and cellular biology.

关键词： cardiomyocyte cell differentiation stem cell

Vapor Online Monitor Model of Vapor Power Station Based on UML

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wuhan university Journal of Natural Sciences 2001年第4期6卷 775-778页

作者： Jin Ye, Tang Xu\|zhang, yu Jun\|qing, Zhou Dong\|ru school of Computer, wuhan university, wuhan 430072, china school of Computer Wuhan University Wuhan China

We presents a vapor online monitor system model of vapor power station developed by visual tool rational rose 2000. Use cases such as on line instrument (onlineinstr), control, query, report, real database (realdb) and alarm are generated according to the system requirements. Use case view and class view of the system are formed at the same time. As for all the UML models of the system, this paper focuses the discussion on the class view, the component diagram of the control class and the sequence diagram of the query class. Corresponding C++ codes are produced and finally transferred into the spot running software.

关键词： online monitor model UML

Controlled Synthesis of Metal-Nanoparticles Decorated Block Copolymer Hybrid Particles via Emulsion Confined Self-assembly and Their Catalytic Applications

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Chinese Journal of Chemistry 2024年第8期42卷 835-840页

作者： Xiaohua chang Qunli yu Dan Ji yutian Zhu College of Material Chemistry and Chemical EngineeringKey Laboratory of Organosilicon Chemistry and Material TechnologyMinistry of EducationHangzhou Normal UniversityHangzhouZhejiang311121 China

Comprehensive Summary Metal nanoparticles(NPs)decorated block copolymer(BCP)hybrid nanoparticles have attracted enormous attention for their actual value in catalysis,medical therapy,and *** confined assembly of BCPs within evaporative emulsion droplet is verified as an effective method to provide polymeric scaffolds to load metal ***,to date,it remains challenging to generate different types of metal NPs decorated BCP hybrid ***,we employed the emulsion confined self-assembly of poly(styrene-b-2-vinylpyridine)(PS-b-P2VP)and the followed seed-mediated growth of Au and palladium(Pd)NPs onto well-defined BCP particles to design a series of Au/Pd decorated BCP hybrid nanoparticles,which exhibited excellent catalytic activity for the reduction of 4-nitrophenol to 4-aminophenol with the reductant of *** work may inspire more researchers to investigate the selective decoration of different metal NPs onto the polymeric scaffolds,broadening the potential applications of the inorganic/organic hybrid nanoparticles.

关键词： Block copolymers Emulsion confined self-assembly Hybrid nanoparticles Catalytic activity Recyclability

Low carbon alcohol fuel electrolysis of hydrogen generation catalyzed by a novel and effective Pt–CoTe/C bifunctional catalyst system

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Green Energy & Environment 2024年第4期9卷 758-770页

作者： Yang Zhou Lice yu Jinfa chang Ligang Feng Jiujun Zhang school of Chemistry and Chemical Engineering Yangzhou UniversityYangzhou225002JiangsuChina NanoScience Technology Center University of Central FloridaOrlandoFL32826USA College of Sciences&Institute for Sustainable Energy Shanghai UniversityShanghai200444China

Low carbon alcohol fuels electrolysis under ambient conditions is promising for green hydrogen generation instead of the traditional alcohol fuels steam reforming technique,and highly efficient bifunctional catalysts for membrane electrode fabrication are required to drive the electrolysis ***,the efficient catalytic promotion effect of a novel catalyst promoter,CoTe,on Pt is demonstrated for low carbon alcohol fuels of methanol and ethanol electrolysis for hydrogen *** and density functional theory calculation results indicate that the optimized electronic structure of Pt–CoTe/C resulting from the synergetic effect between Pt and CoTe further regulates the adsorption energies of CO and H*that enhances the catalytic ability for methanol and ethanol ***,the good water activation ability of CoTe and the strong electronic effect of Pt and CoTe increased the tolerance ability to the poisoning species as demonstrated by the CO-stripping *** high catalytic kinetics and stability,as well as the promotion effect,were also carefully ***,71.9%and 75.5%of the initial peak current density was maintained after 1000 CV cycles in acid electrolyte for methanol and ethanol oxidation;and a low overpotential of 30 and 35 mV was required to drive the hydrogen evolution reaction in methanol and ethanol solution at the current density of 10 mA cm^(-2).In the two-electrode system for alcohol fuels electrolysis,using the optimal Pt–CoTe/C catalyst as bi-functional catalysts,the cell potential of 0.66 V(0.67 V)was required to achieve 10 mA cm^(-2) for methanol(ethanol)electrolysis,much smaller than that of water electrolysis(1.76 V).The current study offers a novel platform for hydrogen generation via low carbon alcohol fuel electrolysis,and the result is helpful to the catalysis mechanism understanding of Pt assisted by the novel promoter.

关键词： Methanol electrolysis Ethanol electrolysis Cobalt telluride Pt-based electrocatalyst Hydrogen evolution reaction