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A counter example for nilpotent groups

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Science China Mathematics 2010年第11期53卷 3041-3048页

作者： LIU HeGuo1, ZHANG JiPing2 & LIAO Jun2 1Department of Mathematics, hubei university, Wuhan 430062, China 2School of Mathematical Sciences, Peking university, Beijing 100871, China Department of Mathematics Hubei University Wuhan China School of Mathematical Sciences Peking University Beijing China

Let R be a ring with 1, I be a nilpotent subring of R (there exists a natural number n, such that In = 0), and I be generated by {xj |j ∈ J} as ring. Write U = 1 + I, and it is a nilpotent group with class ≤ n - 1. Let G be the subgroup of U which is generated by {1 + xj|j ∈ J}. The group constructed in this paper indicates that the nilpotency class of G can be less than that of U.

关键词： nilpotency class nilpotent group nilpotent ring Lie ring

Oscillatory and Asymptotic Behaviour of Fourth Order Nonlinear Difference Equations

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Acta Mathematica Sinica,English Series 1997年第1期13卷 105-115页

作者： Yan Jurang (Department of Mathematics,Shanxi university,Taiyuan,030006,China)Liu Bin (Department of Mathematics,hubei Normal university,Huangshi,435002,China) 山西大学数学系山西太原湖北师范大学数学系湖北黄石

This paper considers a class of fourth order nonlinear difference equations Δ2（rnΔ2yn）+ f（n,yn）=0,n∈N（n0）,where f（n,y）may be classified as superlinear,sublinear,strongly super- linear and strongly *** superlinear and sublinear cases,necessary and sufficient conditions are obtained for the difference equation to admit the existence of nonoscillatory solutions with special asymptotic *** strongly superlinear and strongly sublinear cases,sufficient conditions are given for all solutions to be oscillatory.

关键词： Nonlinear difference equation Oscillation Asymptotic behaviour.

Optimality strategy of a sealed-offer simultaneous bargaining protocol

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Science China(Information Sciences) 2011年第1期54卷 79-90页

作者： ZHANG LinLan1,2,CHEN XueGuang2 & HONG Liu2 1School of Business,hubei university,Wuhan 430062,China 2Institute of Systems Engineering,Huazhong university of Science and Technology,Wuhan 430074,China School of Business Hubei University Wuhan China Institute of Systems Engineering Huazhong University of Science and Technology Wuhan China

Alternating-offer bargaining protocol is the most predominant way for solving bilateral bargaining ***,alternating-offer may consume much time and cause a low effciency in some ***, a deadlock in which both negotiators are unwilling to concede or refuse to disclose more information may arise. Then mediation is *** paper presents an agent-based sealed-offer simultaneous bargaining protocol by introducing a nonbiased *** information of both agents is considered completely *** our agent-based model,both agents simultaneously submit their respective offers to the mediate *** offers of each agent are not revealed to the *** design can discourage counter-speculation and effectively control fraud and misrepresentation in a certain ***,we analyze how an agent can exploit the available information in selecting a strategy that maximizes its expected utility and give the optimal offers of each agent at each stage of the *** groups of automated experiments are conducted to evaluate the performance of the proposed automated negotiation procedure.

关键词： automated negotiation bargaining sealed-bid optimal strategy

Chinese　Science　＆　Technology　Information　Database　Development　and　Utilization

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情报理论与实践 1995年第4期 22-27页

作者： Zhang Ping (Zhongnan university of Finance and Economics hubei)Zheng Shijue(Library of Central China Normal university hubei)

ＣｈｉｎｅｓｅＳｃｉｅｎｃｅ＆ＴｅｃｈｎｏｌｏｇｙＩｎｆｏｒｍａｔｉｏｎＤａｔａｂａｓｅＤｅｖｅｌｏｐｍｅｎｔａｎｄＵｔｉｌｉｚａｔｉｏｎＣｈｉｎｅｓｅＳｃｉｅｎｃｅ＆ＴｅｃｈｎｏｌｏｇｙＩｎｆｏｒｍａｔｉｏｎＤａｔ... 详细信息

ＣｈｉｎｅｓｅＳｃｉｅｎｃｅ＆ＴｅｃｈｎｏｌｏｇｙＩｎｆｏｒｍａｔｉｏｎＤａｔａｂａｓｅＤｅｖｅｌｏｐｍｅｎｔａｎｄＵｔｉｌｉｚａｔｉｏｎＣｈｉｎｅｓｅＳｃｉｅｎｃｅ＆ＴｅｃｈｎｏｌｏｇｙＩｎｆｏｒｍａｔｉｏｎＤａｔａｂａｓｅＤｅｖｅｌｏｐｍｅｎｔａ...

关键词： Science &.Technology Information Database Document Database Utilization Data Communication China

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强抗干扰型正弦调制式半导体激光有源干涉仪

中国激光 1994年第6期21卷 463-468页

作者：艾勇湖北师范学院物理系

叙述了强抗干扰型正弦调制式半导体激光有源干涉仪（Ｌａｓｅｒｄｉｏｄｅａｃｔｉｖｅｉｎｔｅｒｆｅｒｏｍｅｔｅｒ）的工作原理。它比目前的半导体激光有源干涉仪的抗干扰能力提高了５０％。还给出了各种实验结果。

关键词：半导体激光器有源干涉仪抗干扰

Arbuscular mycorrhizal for-mation of crucifer leaf mus-tard induced by flavonoids apigenin and daidzein

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Chinese Science Bulletin 2004年第12期49卷 1254-1261页

作者： DONG Changjin1,2 & ZHAO Bin1 1. State Key Laboratory of Agricultural Microbiology, Huazhong Agri- cultural university, Wuhan 430070, China 2. Department of Biology, hubei Normal university, Huangshi 435002, China State Key Laboratory of Agricultural Microbiology Huazhong Agricultural University Wuhan China Department of Biology Hubei Normal University Huangshi China

Flavonoids from legume root secretion may probably act as signal molecules for expression of Rhizobial “nod” nodulation genes and AM fungal symbiotic gene. Leaf mustard is a non-mycorrhizal plant; it does not contain fla- vonoids and other signal molecules. AM fungi could not in- fect the roots of leaf mustard and form a symbiont in nature, when it was treated with flavonoids (apigenin or daidzein). The results of trypan blue staining showed that two kinds of AM fungi (G. intraradices and G. mosseae) successfully in- fected the roots of non-mycorrhizal plant leaf mustard. AM fungi grew towards and colonized the roots of leaf mustard, producing young spores and completing the course of life. AM fungi are the only one kind of fungi with ALP activity. The result of ALP staining has also proved that AM fungi infected successfully the roots of leaf mustard. AM fungi (G. intraradices and G. mosseae) that existed in the roots of non-mycorrhizal plant leaf mustard were probed by nested PCR and special molecular probes. The above-mentioned proof chains have fully proved that flavonoids induced AM fungi (G. intraradices and G. mosseae) to infect non-my- corrhizal plant and establish symbiotic relationship.

关键词：非菌根植物免疫十字花科叶芥菜芹甙元大豆黄酮类黄酮灌木菌根真菌嵌套PCR trypan蓝色染色

The Importance of Electromagnetic Field Theory in the Teaching and Researching of Electrical Engineering

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The Importance of Electromagnetic Field Theory in the Teachi...

Stability of a Neutral Stochastic Functional Differential Equations

电气工程教育教学国际研讨会

作者： Keeling Zhou hubei Polytechnic university Wuhan. hubei

＜正＞ Electromagnetic field theory is one of the most important fundamental courses of the electrical engineering curriculum. It is directly the theoretical bases of many follow-up courses. EM field theory is one of the well established theories, to explain and solve the intricate electrical engineering problems when other theories are not ***, since the early sixties, computers used widely day after day. theories and methods of numerical computation of EM fields have been developed, very effective to calculate and analyse many practical problems, therefore, we must lay stress on study and researching.

关键词： Electromagnetic field (EM field). Electrical machine. Transformer. High voltage insulation system. Electromgnetic Compatibility(EMC)

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Wuhan university Journal of Natural Sciences 2005年第6期10卷 957-960页

作者： LI Bi-wen~1,21. Department of Mathematics, hubei Normal university, Huangshi 435002, hubei, China 2. Department of Mathematics, Huazhong university of Science and Technology, Wuhan 430074, hubei, China Department of Mathematics Hubei Normal University Huangshi Hubei China Department of Mathematics Huazhong University of Science and Technology Wuhan Hubei China

Sufficient condition for stochastic unifrom stability of a neutral stochastic functional differential equation is given, especially, new techniques are developed to cope with the neutral delay case, we obtained the sufficient condition for asymptotic stability of neutral stochastic differential delay equations. Due to the new techniques developed in this paper, the results obtained arc very general and useful. The theory developed here gives a unified treatment for various asymptotic estimates e.g. exponential and polynomial bounds.

关键词： Lyapunov function D operator It's formula stochastic unifrom stabillty asymptotic stability

THE REGIOSELECTIVE SYNTHESIS OF NOVEL PHENYLSULFONES BEARING ISOPRENE UNITS

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Chinese Chemical Letters 1993年第5期4卷 377-378页

作者： He Sheng ZHANG’ Jia Wei CHEN and Li JIN Department of Chemistry, hubei university, Wuhan, 430062

The facile and regioselective synthesis of some novel phenylsulfones bearing isoprene units were accomplished by using the corresponding terpenoid compounds as the starting material through ene-chlorination and phenyl... 详细信息

关键词： very THE REGIOSELECTIVE SYNTHESIS OF NOVEL PHENYLSULFONES BEARING ISOPRENE UNITS Li Chen