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ON THE SPACES OF THE MAXIMAL POINTS

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Chinese Annals of Mathematics,Series B 2003年第3期24卷 303-308页

作者： LIANG JIHUA LIU YINGMING Institute of Mathematics, Sichuan University, chengdu 610064, China. Institute of Mathematics, Sichuan University, chengdu 610064, China. Institute of Mathematics Sichuan University Chengdu 610064

For a continuous domain D, some characterization that the convex powerdomain CD is adomain hull of Max(CD) is given in terms of compact subsets of D. And in this case, it isproved that the set of the maximal points Max(CD) of CD with the relative Scott topology ishomeomorphic to the set of all Scott compact subsets of Max(D) with the topology induced bythe Hausdorff metric derived from a metric on Max(D) when Max(D) is metrizable.

关键词： Convex powerdomain Maximal points Hausdorff metric

APPLICATIONS OF THE THEORY OF CAMINA GROUPS

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Chinese Annals of Mathematics,Series B 1999年第1期20卷 39-50页

作者： REN YONGCAI(Department of Mathematics,Sichuan Union University,chengdu 610064,China) Department of Mathematics Sichuan Union University Chengdu 610064 China

In this papert the author first gives a conjugacy-class version of Camina hypotheses andthen applys the Camina group theory to discussing two classes of finite groups.

关键词： Camina groups Applications Characters

Uniform asymptotic stability in functional differential equations with infinite delay

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Chinese Science Bulletin 1998年第12期43卷 1000-1003页

作者： XU Anshi Department of Mathematics, Sichuan University, chengdu 610064, China Department of Mathematics Sichuan University Chengdu China

The fading memory space is used as phace space, and Liapunov methods are used to give conditions ensuring that the zero solution of functional differential equations with infinite delay is uniformly asymptotically sta... 详细信息

关键词： functional differential equation integral-differential equation fading memory space uniform asymptotic stalility.

TOEPLITZ OPERATORS AND ALGEBRAS ON DIRICHLET SPACES

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Chinese Annals of Mathematics,Series B 2002年第3期23卷 385-396页

作者： CAO GUANGFU Department of Mathematics, Sichuan University, chengdu 610064, China. Department of Mathematics Sichuan University Chengdu 610064 China

The automorphism group of the Toeplitz C^*- algebra, J(C^1), generated by Toeplitz op-erators with C^1-symbols on Dirichlet space D is discussed; the K0, K1-groups and the first cohomology group of J(C^1) are computed. In addition, the author proves that the spectra of Toeplitz operators with C^1-symbols are always connected, and discusses the algebraic prop-erties of Toeplitz *** particular, it is proved that there is no nontrivial selfadjoint Toeplitz operator on D and Tψ^* = Tψ^- if and only if Tψ is a scalar operator.

关键词： Dirichlet space Toeplitz operator Toeplitz algebra

A Method for Obtaining Three-dimensional Images with Visual Reality of Real Objects

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Chinese Journal of Lasers 1999年第5期8卷 425-430页

作者： HUANG Qiong SU Xianyu(Department of Opto-electronics, Sichuan University, chengdu 610064, China) 四川大学光电子系四川成都 610064 四川大学光电子系四川成都

A new method to remove the shadows in laser triangulation and a computer model for three-dimensional images with visual reality of three-dimensional diffuse objects are presented. The methods for acquiring color data in optical three-dimensional sensing are discussed A method for obtaining three-dimensional images with visual reality of real objects is presented The principles, the system structure and the experimental results are provided.

关键词： three-dimensional sensing laser triangulation shadow three-dimensional images with visual reality

Additive characters and orthogonal systems of polynomials in several indeterminates over residue class rings

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Chinese Science Bulletin 1998年第4期43卷 275-277页

作者： HONG Shaofang Department of Mathematics, Sichuan University, chengdu 610064, China Department of Matherrratics Sichuan University Chcngdu China

Let m, n and k be positive integers, m>1 and k≤n . Let Z m =Z/ m Z denote the residue class ring modulo m . Let Z denote the group of additive characters of ring Z m , x 0 denote the identity of Z . A necessary and sufficient condition for the system f\-1, ..., f\-k∈ Z m [ x\-1, ..., x\-n ] to be orthogonal is given: for all additive characters ψ 1, ..., ψ k ∈Z with ψ i≠x 0 for some i, 1≤i≤k, ∑(c\-1, ..., c\-n)∈ Z n m ψ(f\-1(c\-1, ..., c\-n))...ψ k(f\-k(c\-1, ..., c\-n))=0. As corollaries, the result of Shiue_Sun_Zhang and the result of Sun are obtained.

关键词： orthogonal system additive character permutation polynomial Jacobi matrix.

GOPPA CODES FROMARTIN-SCHREIER FUNCTION FIELDS

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Chinese Annals of Mathematics,Series B 1994年第3期15卷 311-320页

作者： HAN WENBAO(Depatmellt of Mathematics, Sichuan Universityt chengdu 610064, Sichuan, China.) 四川大学数学系四川成都 610064

A class of Goppa codes is constructed by using Artin-Schreier function fields, of which thenumber of prime divisors of degree olle is obtained for some cases, and their minimum distance,duallty and selfeduality are discussed. At laSt the sublield subcode of Artin-Schreier code isinvestigated, the true dimension under certain conditions is given and the covering radius andminimum distance are estimated.

关键词： Artin-Schreier functioll field Goppa code Self-duality.

k-NN METHOD IN PARTIAL LINEAR MODEL UNDER RANDOM CENSORSHIP

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Applied Mathematics(A Journal of Chinese Universities) 1995年第3期10卷 275-286页

作者： QIN GENGSHENG (Department of Mathematics,Sichuan University, chengdu 610064). Department of Mathematics Sichuan University Chengdu

Consider the regression model Y=Xβ+ g(T) + e. Here g is an unknown smoothing function on [0, 1], β is a l-dimensional parameter to be estimated, and e is an unobserved error. When data are randomly censored, the estimators βn* and gn*forβ and g are obtained by using class K and the least square methods. It is shown that βn* is asymptotically normal and gn* achieves the convergent rate O(n-1/3).

关键词： Partial linear model censored data class K method k-nearest neighbor weights

Microscopic Analysis of Inelastic Proton Scattering off ^(28)Si

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Chinese journal of nuclear physics 1995年第2期17卷 124-128页

作者： An Zhu(Institute of Nuclear Science and Technology,Sichuan University,chengdu 610064) Sichuan Univ Chengdu China

The elastic and inelastic scattering data of 22 MeV protons from 28Si havebeen *** measured differential cross sections were compared with microscop-ic DWBA calculations in which nuclear transition densities extracted from （e,e’） exper-iments were used directly.A density-dependent nucleon-nucleon effective interaction inthe low-energy region,Complex Effective Interaction with Gaussian form factor（CEG）,was applied in our *** problems associated were discussed.

关键词： Proton inelastic scattering Local momentum approximation Nucleonnucleon effective interaction