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Zero asymptotic Lipschitz distance and finite Gromov-Hausdorff distance

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science china mathematics 2007年第3期50卷 345-350页

作者： Luo-fei LIU college of mathematics and computer science, Jishou university, Jishou 416000, china college of mathematics and computer science Jishou University Jishou416000 China

We give an example which shows that the Burago’s bounded distance theorem does not hold in a non-intrinsic metric case. The argument is based on the classical answer to the densest circle packing problem in ?2.

关键词： asymptotic Lipschitz distance Gromov-Hausdorff distance densest circle packing 51K05 05B40

THE LIMITING CASE OF THIELE'S INTERPOLATING CONTINUED FRACTION EXPANSION

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Journal of Computational mathematics 2001年第4期19卷 433-444页

作者： Jie-qing Tan (Institute of Applied mathematics, college of science and CAD/CG Division college of computer & Information Hefei, university of Technology, Hefei 230009, china) 中国科学技术大学安徽合肥 230009

By means of the determinantal formulae for inverse and reciprocal differences with coincident data points, the limiting case of Thiele's interpolating continued fraction expansion is studied in this paper and given numerical example shows that the limiting Thiele's continued fraction expansion can be determined once for all instead of carrying out computations for each step to obtain each convergent as done in [3].

关键词： Continued fraction Inverse difference Reciprocal difference Expansion.

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 Wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

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

DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES

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Chinese Annals of mathematics,Series B 2000年第2期21卷 211-216页

作者： MEI TAO(college of mathematics and computer sciences, Wuhan university, Wuhan 430072, china.) LIU PEIDE(college of mathematics and computer sciences, Wuhan university, Wuhan 430072, china.) college of mathematics and computer sciences Wuhan University Wuhan 430072 China

The authors establish a kind of inequalities for nonnegative submartingales which depend on two functions　ψ and ψ, and obtain the equivalent conditions for　Φ and ψ such that this kind of inequalities holds. In t... 详细信息

关键词： Matingale Nonnegative submartingale Maximal function Φ-function inequality

Determination of jumps for functions via derivative Gabor series

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Applied mathematics(A Journal of Chinese Universities) 2009年第2期24卷 191-199页

作者： ZHOU Ying-ying SHI Xian-liang college of mathematics and computer science, Hunan Normal university,Changsha 410081,china college of mathematics and computer science Hunan Normal University Changsha 410081 China

Recently, Shi Xianliang and Hu Lan published the method of concentration factors for determination of jumps of functions via MCM conjugate wavelets. Usually, it is difficult to calculate the Hilbert transform of general window functions. The aim of this paper is to discuss determination of jumps for functions based on derivative Gabor series. The results will simplify the calculation of jump values.

关键词： jumps Gabor series derivative

A RCK Model with Endogenous Fertility and Exogenous Technological Change

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Wuhan university Journal of Natural sciences 2000年第2期5卷 137-142页

作者： CAI Dong han college of mathematics and computer science, Wuhan university, Wuhan 430072, china Wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

The technological change as an exogenous variable is introduced into the RCK model with endogenous fertility in this paper. It is proved that the model has at least a nonzero steady state and the nonzero steady state is unique when the parameters satisfies some conditions. By phrase protrait analysis, the unique nonzero steady state is saddle and the economy has a unique optimal growth path. The results obtained implies that the relationship between the technological change and population growth rate determinated by the economic structure and the parental ethies. For the economy in which the parents is selfish, promoting the technological change rate decreases the fertility at the steady state. On the other hand, for the economy in which the parents is less selfish, the fertility increases as the technological change rate increases.

关键词： C K model fertility technological change economic growth

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 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 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 05C20 05C85

Existence of Single-Peaked Solution of a Semilinear Elliptic Problem

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Wuhan university Journal of Natural sciences 2000年第4期5卷 386-390页

作者： Zhong Xin-hua college of mathematics and computer science,Wuhan university,Wuhan 430072,china Wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

We discussed the Dirichlet problem of semilinear elliptic equation (P β,ε):β 2Δu=u p +εu,u>0, in Ω;u=0, on ?Ω, where Ω?R N (N≥4) is smooth and bounded domain, ,β,ε>0. We have proved that there exist positiveε 0 andε 1, such that when 0?ε?ε 0,β>√ε 1, (P β,ε) has a single-peaked solutionu β,ε; furthermore, |?u β0|2?0 in the sense of measure as ε→0 and β→0.

关键词： semilinear critical growth single-peaked solution

Important Properties of Alternating Group A_6

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Wuhan university Journal of Natural sciences 1999年第4期4卷 404-408页

作者： HUANG Ben wen college of mathematics and computer science, Wuhan university, Wuhan 430072, china Wuhan university College of Mathematics and Computer Science Wuhan China (GRID:grid.49470.3e) (ISNI:***)

By using electric computer machine, via computation method, we obtained some important properties of alternating group A \{6\} as below: 1) A \{6 \} has 501 subgroups in total, and for each subgroup we give its generators; 2) the index of A \{6\}'s subgroup can only be 1,2,3,4,5,6,8,9,10,12,18,24,36,60,360; 3) all subgroups of A \{6\} are separated into 22 conjugate classes, and the subgroups contained in each class are listed.

关键词： alternating group subgroup computer program