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Normality and shared values concerning differential polynomials

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Science china mathematics 2010年第3期53卷 749-754页

作者： LEI ChunLin 1 & FANG MingLiang 2. 1 department of Applied mathematics, South{2. Agricultural university, Guangzhou 510642.{2. 2.Institute of Applied mathematics, South{2. Agricultural university, Guangzhou 510642.{2. 1. department of Applied mathematics South China Agricultural University Guangzhou 510642 China2. Institute of Applied Mathematics South China Agricultural University Guangzhou 510642 China

Let F be a family of functions meromorphic in a domain D, let P be a polynomial with either deg P≥3 or deg P = 2.and P having only one distinct zero, and let b be a finite nonzero complex number. If, each pair of fun... 详细信息

关键词： meromorphic function normality shared value

Mean size formula of wavelet subdivision tree on Heisenberg group

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Applied mathematics(A Journal of Chinese Universities) 2008年第3期23卷 303-312页

作者： WANG Guo-mao department of mathematics,Zhejiang {2.,Hangzhou 31002.,china department of mathematics,Hangzhou Dianzi {2.,Hangzhou 310018,china. department of mathematics Zhejiang University Hangzhou 310027 China department of mathematics Hangzhou Dianzi University Hangzhou 310018 China

The purpose of this paper is to investigate the mean size formula of wavelet packets （wavelet subdivision tree） on Heisenberg group. The formula is given in terms of the p-norm joint spectral radius. The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed. The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree.

关键词： Heisenberg group wavelet packets subdivision tree joint spectral radius stability

Constructing super Gabor frames:the rational time-frequency lattice case

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Science china mathematics 2010年第12期53卷 3179-3186页

作者： LI ZhongYan 1 & HAN DeGuang 2. 1 department of mathematics and Physics, North{2. Electric Power university, Beijing 102.06,{2. 2.department of mathematics, university of Central Florida, Orlando, FL 32.16, USA 1. department of mathematics and Physics North China Electric Power University Beijing 102206 China2. Department of Mathematics University of Central Florida Orlando FL 32816 USA

For a time-frequency lattice Λ = A Z d × B Z d , it is known that an orthonormal super Gabor frame of length L exists with respect to this lattice if and only if |det( AB) | = 1 L . The proof of this result involves various techniques from multi-lattice tiling and operator algebra theory, and it is far from constructive. In this paper we present a very general scheme for constructing super Gabor frames for the rational lattice case. Our method is based on partitioning an arbitrary fundamental domain of the lattice in the frequency domain such that each subset in the partition tiles R d by the lattice in the time domain. This approach not only provides us a simple algorithm of constructing various kinds of orthonormal super Gabor frames with flexible length and multiplicity, but also allows us to construct super Gabor (non-Riesz) frames with high order smoothness and regularity. Several examples are also presented.

关键词： super Gabor frame orthonormal super frame full rank lattice tiles

A novel homospermidine conjugate inhibits growth and induces apoptosis in human hepatoma cells

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Acta Pharmacologica Sinica 2007年第11期28卷 1827-1834页

作者： Song-qiang XIE~(2.3),Ying-liang WU~2.Peng-fei CHENG~4,Min-wei WANG~2.Guang-chao LIU~5,Yuan-fang MA~5,Jin ZHAO~4,Chao-jie WANG~(4,6)~2.department of Pharmacology,Shenyang Pharmaceutical university,Shenyang 110016,{2. ~3 Pharmacy College,henan university,kaifeng 475001,{2. ~4 Institute of Natural Products and Medicinal Chemistry,henan university,kaifeng 475001,{2.:~5 MedicalCollege,henan university,kaifeng 475001,{2. ment of Pharmacology Shenyang Pharmaceutical University Shenyang 110016 China. wcjsxq@***.

Aim:To elucidate the mechanism responsible for the antiproliferative effects of anovel homospermidine conjugate,anthracenylmethyl homospermidine(ANTMHspd),in the human hepatoma BEL-7402.cell ***:The viabilityof the cells was assessed by MTT assay and the trypan blue dye exclusion *** changes were observed by fluorescence microscopy with Hoechst332.8 *** cycle distribution,apoptosis,and mitochondrial membranepotential were measured by flow *** expression was detected byWestern blot ***:ANTMHspd strongly decreased BEL-7402.cellproliferation in a dose-and time-dependent *** 332.8 staining andthe flow cytometry assay showed that ANTMHspd induced cell apoptosis andcell cycle ***,ANTMHspd could induce mitochondrialmembrane potential loss and cytochrome c release and enhance cleaved caspase-3,cleaved caspase-9,and Bax protein expression without caspase-8 *** could also decrease the expression of Bcl-2.and cytochrome c *** addition,the specific inhibitors of caspase-9 and caspase-3almost abolished the ANTMHspd-induced caspase-9 and caspase-3 activation,***:ANTMHspd could induce BEL-7402.cell apoptosis viathe mitochondrial/caspase-dependent pathway and the Bcl-2.family was involvedin the control of apoptosis.

关键词： polyamine apoptosis cell cycle mitochondrial membrane potential caspase Bcl-2

Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms

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Science china mathematics 2005年第2期48卷 185-197页

作者： LI Huiling & WANG Mingxin department of mathematics, Southeast {2., Nanjing 2.0018, china department of mathematics, Xuzhou Normal {2., Xuzhou 2.1116, china 1. department of mathematics Southeast University 210018 Nanjing China 2. department of mathematics Xuzhou Normal University 221116 Xuzhou China

This paper deals with the blow-up properties of the solution to a semilinear parabolic system with localized nonlinear reaction terms, subject to the null Dirichlet boundary condition. We first give sufficient conditions for that the classical solution blows up in the finite time, secondly give necessary conditions and a sufficient condition for that two components blow up simultaneously, and then obtain the uniform blow-up profiles in the interior. Finally we describe the asymptotic behavior of the blow-up solution in the boundary layer.

关键词： parabolic system, localized nonlinear reaction terms, blow-up profiles, boundary layer size.

OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES

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Acta Mathematica Scientia 2004年第2期24卷 228-234页

作者：马万房艮孙 departmentofmathematics BeijingNormalUniversityBeijing100875China

This paper determines the exact error order on optimization of adaptive direct methods of approximate solution of the class of Fredholm integral equations of the second kind with kernel belonging to the anisotropic So... 详细信息

关键词： Integral equations direct methods anisotropic sobolev classes

THE BLOCH CONSTANT OF LOCALLY BIHOLOMORPHIC MAPPINGS ON BOUNDED SYMMETRIC DOMAINS

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Chinese Annals of mathematics,Series B 1996年第3期17卷 271-278页

作者： GONG SHENG(department of mathematics, {2. of Science and Technology of china, Hefei 2.002., china) UNIV SCI & TECHNOL china DEPT MATHHEFEI 230026PEOPLES R CHINA

The estimations of the bounds of the Bloch constant of locally biholomorphic mappingson irreducible bounded symmetric domains are given. When the domain is a unit circle, theestimation of the lower bounds is just the ... 详细信息

关键词： Bounded symmetric domain Bloch mapping Bloch constant,Locally biholomorphic mapping

THE SECOND EXPONENT SET OF PRIMITIVE DIGRAPHS

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Chinese Annals of mathematics,Series B 2000年第2期21卷 233-236页

作者： MIAO ZHENGKE(department of mathematics, Nanjing {2., Nanjing 2.0093, china.)(department of mathematics, Xuzhou Normal {2., Xuzhou 2.1009, china.) ZHANG KEMIN(department of mathematics, Nanjing {2., Nanjing 2.0093, china.) department of mathematics Nanjing University Nanjing 210093 China department of mathematics Xuzhou Normal University Xuzhou 221009 China

Let D = (V, E) be a primitive digraph. The exponent of D, denoted byγ(D), is the least integer k such that for any u, v∈ V there is a directed walk of length k from u to v. The local exponent of D at a vertex u∈ V, denoted by exp_D (u), is the least integer k such that there is a directed walk of length k from u to v for each v ε V. Let V = {1,2.….,n}. Following [1], the vertices of V are ordered so that exp_D (1) ≤exp_D (2. ≤…≤exp_D(n) =λ(D). Let E_n(i):= {exp_D (i) ∈D PD_n}, where PD_n is the set of all primitive digraphs of order n. It is known that E_n(n) = {γ(D) D∈PD_n} has been completely settled by [7]. In 1998, E_n(1) was characterized by [5]. In this paper, the authors describe E_n(2. for all n≥2.

关键词： Primitive digraph Local exponent Gap

Y_CΩ_(2.)are easy terms

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Chinese Science Bulletin 1998年第20期43卷 1707-1709页

作者： ZHAO Xishun 1 and WANG Ju 2.1. department of mathematics, Nanjing {2., Nanjing 2.0093, china 2. Institute of Software, Chinese Academy of Sciences, Beijing 100080, china department of mathematics Nanjing University Nanjing China Institute of Software Chinese Academy of Sciences Beijing China

For any natural number n≥1, Y CΩ 2. is an easy term; that is, for any λ term M, λβ+Y\-CΩ 2. =M is consistent, where Y C is Curry fixed point combinator, Ω 2. ≡ω 2. ω 2. and ω 2. ≡λ***...x (there are 2. occurrences of x after λx ). This result is a partial solution to Jacopini’s conjecture: Y CΩ n is an easy term for any natural number n≥2.

关键词： λβ-calculus Kuper’s theorem easy term.