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THE ELLIPTIC TYPE NODE CONFIGURATION AND INTERPOLATION IN R^2

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Journal of Computational Mathematics 1998年第3期16卷 257-266页

作者： Ping Zhu (Ji’an teachers college, Ji’an 543009, Jiangxi,{2.) 吉安师范专科学校江西吉安 343009

In this paper, we have obtained an expression of the bivariate Vandermonde determinant for the Elliptic Type Node Configuration in R-2. and discussed the possibility of the corresponding multivariate Lagrange, Hermite... 详细信息

关键词： multivariate interpolation polynomial interpolation Birkhoff interpolation node configuration

Synthesis and Properties of New-type Troponoid Dithio-Crown Ethers

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Chinese Chemical Letters 2000年第6期11卷 499-502页

作者： Li Jun TANG Long Yi JIN Bing Zhu YIN (department of chemistry, Jinzhou {2. college, Jinzhou 12.000)(department of chemistry, Yanbian University, Yanji 133002. Jinzhou teachers Coll Dept Chem Jinzhou 121000 Peoples R China Yanbian Univ Dept Chem Yanji 133002 Peoples R China

Condensation of 3,7-dichloromethyl-5-isopropyl-2.methoxytropane 4 with bis (mercaptoethyl) ether 5a and mono, di, and tri-ethylene glycol bis(mercaptoethyl) ethers 5b-5d gave troponoid-annexed dithiocrown ethers 6a-6d... 详细信息

关键词： tropone crown ether complex reversible

A new orthogonality relationship for orthotropic thin plate theory and its variational principle

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Science china(Physics,Mechanics & Astronomy) 2005年第3期48卷 371-380页

作者： LUO Jianhui 1 , LONG Yuqiu 2.& LIU Guangdong 1 1. college of Civil Engineering, Hunan University, Changsha 410082. china 2. {2. of Civil Engineering, Tsinghua University, Beijing 100084, china 1. college of Civil Engineering Hunan University 410082 Changsha China 2. department of Civil Engineering Tsinghua University 100084 Beijing China

The thought how dual vectors are constructed in a new orthogonality relationship for theory of elasticity is generalized into orthotropic thin plate bending problems by using the analogy theory between plane elasticity problems and plate bending problems. Dual differential equations are directly obtained by using a mixed variables method. A dual differential matrix to be derived possesses a peculiarity of which principal diagonal sub-matrixes are zero matrixes. Two independently and symmetrically orthogonality sub-relationships are discovered. By using the integral form for elastic bending theory of orthotropic thin plate the orthogonality relationship is demonstrated. By selecting felicitous dual vectors a new orthogonality relationship for theory of elasticity can be generalized into elastic bending theory of orthotropic thin plate. By using the integral form a variational principle which is relative to differential form and a whole function expression are proposed.

关键词： theory of elasticity, thin plate theory, dual vectors, orthogonality relationship, orthotropic, variational principle.

The construction of infinite families of any k-tight optimal and singular k-tight optimal directed double loop networks

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Science china Mathematics 2007年第7期50卷 1055-1064页

作者： Bao-xing CHEN~(1+) Xie-bin CHEN~2.Ji-xiang MENG~3 Wen-jun XIAO~4 1 department of Computer Science,Zhangzhou teachers {2.,Zhangzhou 363000,china 2.department of Mathematics and Information Science,Zhangzhou teachers {2.,Zhangzhou 363000,china 3 {2. of Mathematics & System Science,Xinjiang University,Urumqi 830046,china 4 department of Computer Science,South china University of Technology,Guangzhou 510641,china 1. department of Computer Science Zhangzhou Teachers College Zhangzhou 363000 China 2. department of Mathematics and Information Science Zhangzhou Teachers College Zhangzhou 363000 China 3. college of Mathematics & System Science Xinjiang University Urumqi 830046 China 4. department of Computer Science South China University of Technology Guangzhou 510641 China

The double loop network(DLN)is a circulant digraph with n nodes and outdegree *** is an important topological structure of computer interconnection networks and has been widely used in the designing of local area networks and distributed *** the number n of nodes,how to construct a DLN which has minimum diameter?This problem has attracted great attention.A related and longtime unsolved problem is:for any given non-negative integer k,is there an infinite family of k-tight optimal DLN?In this paper,two main results are obtained:(1)for any k≥0,the infinite families of k-tight optimal DLN can be constructed,where the number n(k,e,c)of their nodes is a polynomial of degree 2.in e with integral coefficients containing a parameter c.(2.for any k≥0, an infinite family of singular k-tight optimal DLN can be constructed.

关键词： double loop network diameter k-tight optimal singular k-tight optimal 05C12 05C2. 05C85

Empirical likelihood confidence regions of the parameters in a partially linear single-index model

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Science china Mathematics 2005年第10期48卷 1333-1348页

作者： XUE Liugen~1 & ZHU Lixing~2.1. college of Applied Sciences,Beijing University of Technology,Beijing 10002.,china 2. {2. of Mathematics,Hong Kong Baptist University,Hong Kong,china 1. college of Applied Sciences Beijing University of Technology 100022 Beijing China 2. department of Mathematics Hong Kong Baptist University Hong Kong China

In this paper, a partially linear single-index model is investigated, and three empirical log-likelihood ratio statistics for the unknown parameters in the model are suggested. It is proved that the proposed statistics are asymptotically standard chi-square under some suitable conditions, and hence can be used to construct the confidence regions of the parameters. Our methods can also deal with the confidence region construction for the index in the pure single-index model. A simulation study indicates that, in terms of coverage probabilities and average areas of the confidence regions, the proposed methods perform better than the least-squares method.

关键词： partially linear single-index model, empirical likelihood, confidence region, chi-square distribution, coverage probability.

Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces

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Chinese Science Bulletin 1997年第1期42卷 8-11页

作者： LI Gang and MA Jipu1. department of Mathematics, Yangzhou Normal college, Yangzhou 2.5002.{2. 2. department of Mathematics, Nanjing University, Nanjing 2.0093,{2. department of Mathematics Yangzhou Normal College Yangzhou China department of Mathematics Nanjing University Nanjing China

LET G be a semitopological semigroup, i. e. G is a semigroup with a Hausdorff topology such that for each s∈G the mapping s|→s·t and s|→t·s from G to G are continuous. G is called right reversible if any two closed left ideals of G have non-void intersection. In this case, (G,≤) is a directed system when the binary relation '≤' on G is defined by a≤b if and only if Let E be the uniformly convex Banach space

关键词： nonlinear semigroup ergodic theorem non-Lipschitzian mapping.

A New (t, n) Threshold Signature Scheme Withstanding the Conspiracy Attack

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Wuhan University Journal of Natural Sciences 2005年第1期10卷 107-110页

作者： XIE Qi 1,2. YU Xiu-yuan 3 1.department of Mathematics, Zhejiang University, Hangzhou 31002., Zhejiang,china 2.School of Information and Engineering, Hangzhou {2. college, Hangzhou 310012. Zhejiang, china 3.Hangzhou {2. college, Hangzhou 310012. Zhejiang, china Zhejiang University Department of Mathematics Hangzhou China (GRID:grid.13402.34) (ISNI:***) Hungzhou teachers college School of Information and Engincering Hangzhou China (GRID:grid.13402.34) Hangzhou teachers college Hangzhou China (GRID:grid.13402.34)

A ccmspiracy attack is proposed to show that Wang-Li's scheme is instcure,because any t or more group members can impersonate other t member to sign any message withoutholding the responsibility. To avoid the conspiracy attack, this paper prestentsa new (t,n)threshold signature scheme with traceablt signers. A (t. n) threshold signature scheme allows t ormore group members of the group lo generate a signature on behalf of the group, Any less than tmembers cannot generate a valid signature, andany set of the group cannot impersonate another set ofmembers to sign any message without holding the responsibility. In case of disputes., the thresholdsignature can be opened, so that the original signers ean be traced without repealing the secretkeys.

关键词： cryptography threshold signature conspiracy attack identifier tracing

Supporting of Nickel(Ⅱ) Acenaphthenediimine with Free Amino Group for Ethylene Polymerization

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Journal of Wuhan University of Technology(Materials Science) 2010年第2期25卷 260-264页

作者：胡扬剑 department of chemistry and Chemical Engineering Huaihua College

Bis （4-（4-amino-3, 5-diethylbenzyl）-2. 6-diethylphenylimino） acenaphthene] di- chloronickel （NiLCl2. was prepared and supported on SiO2.modified by methyl trichlorsilane（S-1） and on SiO2.MgCl2.TiCl4 （S-2. respectively. Two supported catalysts S-1 and S-2.used as catalysts for ethylene polymerization were studied and the influences of various polymerization conditions, including the polymerization temperature, cocatalysts, Al/Ni molar ratio on the catalytic activity, branching degree and branch length of PE were also investigated. The experimental results show that the supported catalysts exhibit higher catalytic activity for ethylene polymerization, the highest catalytic activity of S-1 using AlEt2.l as cocatalyst at 50 ℃, reaching 5.8×10^5gPE/molNi·h, and needed lower Al/Ni molar ratio compared to homogeneous analogue.

关键词： nickel diimine complex supported catalyst branched polyethylene diethylaluminium chloride

THE　REACTION　OF　p－NITROPHENYLSULFONYLACETONITRILE　WITH　α，β－UNSATURATED　ESTERS　AND　NITRILES

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Chinese Chemical Letters 1996年第4期7卷 305-308页

作者： Guo Ren YUE and Zheng Zhang(department of chemistry, Zhangye {2.’ college.Zhangye,734000department of chemistry, Nanjing University, Nanjing, 2.0093) ZHANGYE teachers COLL DEPT CHEMZHANGYE 734000PEOPLES R CHINA NANJING UNIV DEPT CHEMNANJING 210093PEOPLES R CHINA

Michael addition and an unexpected tandem addition-rearrangement reaction occurred when p-nitrophenylsulfonylacetonitrile(1)reacted with α-β-unsaturated estcrs and nitriles (2.-f).Different products can be obtained ... 详细信息

关键词：用成 ESTERS NITRILES OF REACTION THE UNSATURATED WITH AND