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Exact Rates of Convergence of Functional Limit Theorems for Csorgo-Revesz Increments of a Wiener Process

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Acta Mathematica Sinica,English Series 2002年第4期18卷 727-736页

作者： Wen Sheng WANG department of mathematics. {2. university, hangzhou 31002., P. R. china department of mathematics. hangzhou Teacher’s College. hangzhou 310012. P. R. china department of mathematics Zhejiang University Hangzhou 310028

Let {W(t): t≥0} be a standard Wiener process and S be the Strassen set of functions. We investigate the exact rates of convergence to zero (as T→∞) of the variables sup_(0≤≤T-a_T inf_(f∈S sup_(0≤r≤1 |Y_t, T(x)-f(x)] and inf_(0≤t≤T-a_T sup_(0≤x≤1|Y_(t.T)(x)-f(x)| for any given f∈S, where Y_(t.T)(x)=(W(t+xa_T)-W(t))(2._T(logTa_T^(-1)+log logT))^(-1/2.. We establish a relation between how small the increments are and the functional limit results of Csrg-Revesz increments for a Wiener process. Similar results for partial sums of i.i.d, random variables are also given.

关键词： Wiener process Csorgo-Revesz increment Strassen's law of the iterated logarithm

Inhibition of viability of human retinal microvascular endothelial cells by vialinin A under high glucose condition

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International Journal of Ophthalmology(English edition) 2024年第10期17卷 1809-1815页

作者： Zhi-Gang Chen Gao-Qin Liu wei-Ming Liu Pei-rong Lu department of Ophthalmology the First Affiliated Hospital of Soochow UniversitySuzhou 215006Jiangsu ProvinceChina Jiangsu Clinical Immunology Institute the First Affiliated Hospital of Soochow UniversitySuzhou 215006Jiangsu ProvinceChina

AIM:To investigate the effects of vialinin A on viability of human retinal endothelial cells(HRECs)under high glucose condition and its potential ***:The HRECs were divided into four groups:normal glucose control group(NG,5 mmol/L D-glucose),high glucose group(HG,30 mmol/L D-glucose),HG+1μmol/L vialinin A group,and HG+5μmol/L vialinin A *** cell viabilities were measured with cell counting kit-8(CCK-8)assay for proliferation,with scratch assay for migration,and tube formation,for evaluation of the impact of vialinin A on cellular ***-time PCR and Western blotting were used to determine the expression level of vascular endothelial growth factor(VEGF).RESULTS:The proliferative capacity and migration of HRECs was reduced by 5μmol/L vialinin A in high glucose environment(both P<0.05).Vialinin A also inhibited highglucose-induced tube formation of *** expression level of VEGF and PI3K in HRECs was also significantly decreased by vialinin A(P<0.05).CONCLUSION:Vialinin A inhibits the cell viability of *** may serve as a potential target for anti-angiogenic therapy.

关键词： vialinin A vascular endothelial growth factor human retinal endothelial cells cell viability

Synthesis of α-Selenoesters By Reactions of α-Bromoesters With Diselenides Promoted By Metallic Tin

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Chinese Chemical Letters 1997年第8期8卷 681-682页

作者： wei Xing QIAN(Medical Chemistry Division,zhejiang Medical {2., hangzhou, 310006) wei Liang bao Yong Min ZHANG(department of Chemistry,hangzhou {2., zhejiang, 31002.) zhejiang MED UNIV DIV MED CHEMHANGZHOU 310006PEOPLES R CHINA hangzhou UNIV DEPT CHEMHANGZHOU 310028ZHEJIANGPEOPLES R CHINA

α-Bromoesters can react with diselenides by metallic tin in THF to give α-selenoesters in moderate to good yields.

关键词： Synthesis of Bromoesters With Diselenides Promoted By Metallic Tin

An Additive Function on a Ring of Integers in the Imaginary Quadratic Field Q(d^(1/2.)with Class-Number One

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Acta Mathematica Sinica,English Series 1995年第1期11卷 68-73页

作者： Cai Tianxin department of mathematics,{2. university {2.,31002. china department of mathematics Hangzhou University Hangzhou People's Republic of China

Let Bα（α）be an additive function on a ring of integers in the quadratic number field Q（（1/2.d）given by Bα（α）=∑p丨α*Nα（p）with a fixed α>0,where the asterisk means that the summation is over the non-associate prime divisors p of an integer α in Q（（1/2.d）,N（α）is the norm of α.In this paper we obtain the asymptotic formula of ∑N（α）≤x *Bα（α）in the case where the class-number of Q（（1/2.d）is one.

关键词： Math An Additive Function on a Ring of Integers in the Imaginary Quadratic Field Q

SOLUTIONS OF THE EQUATION X^m+y^m=z^m IN SL_2.

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Applied mathematics(A Journal of Chinese Universities) 1995年第3期10卷 357-359页

作者： ZHANG ZHAOJI (department of mathematics, {2. university, hangzhou 31002.). department of mathematics Zhejiang University Hangzhou

Abstract This paper solves an open problem of Vaserstein. The main result is: the equation xm+ym=zm has a solution in SL2. if and only if m is not divisible by 4 or 6 and m is not congruent to 3 modulo ***: Non-commut... 详细信息

关键词： 1991 MR Subject Classification 11C99

The Riemannian Geometry of Superminimal Surfaces in Complex Space Forms

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Acta Mathematica Sinica,English Series 1996年第3期12卷 298-313页

作者： Shen Yibing, department of mathematics {2. university {2., 31002. china hangzhou university

This paper deals with superminimal surfaces in complex space forms by using the Frenet framing. We formulate explicitly the length squares of the higher fundamental forms and the higher curvatures for superminimal surfaces in terms of the metric of the surface and the Khler angle of the immersion. Particularly, some curvature pinching theorems for minimal 2.spheres in a complex projective space are given and a new characterization of the Veronese sequence is obtained.

关键词： Superminimal surface Frenct flame Higher curvature function Veronese sequence

RANDOM COPOLYMER OF PROPYLENE OXIDE AND ETHYLENE OXIDE PREPARED BY DOUBLE METAL CYANIDE COMPLEX CATALYST

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Chinese Journal of Polymer Science 2002年第5期20卷 453-459页

作者： Yi-jun Huang Guo-rong Qi Guan-xi Chen department of Polymer Science and Engineering, {2. university hangzhou 31002.,china zhejiang Univ Dept Polymer Sci & Engn Hangzhou 310027 Peoples R China

Copolymerization of propylene oxide (PO) and ethylene oxide (EO) using double metal cyanide (DMC) complex as the catalyst was carried out. The structure of random copolymers was confirmed by C-13-NMR and IR spectra. H-1-NMR analysis shows that the EO content in the copolymer is the same as that in the initial monomer feed. Moderate molecular weight copolymers with various EO content were obtained and their values of molecular weight distribution (MWD) fell in the range of 1.2.-1.55. It was found that the molecular weight of copolymers is controlled by the mass ratio of EO+PO to initiator moles used, The reaction rate as well as polymer yield decrease with increasing EO content in the feed composition.

关键词： propylene oxide ethylene oxide double metal cyanide complex

Littlewood-Paley operators with variable kernels

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Science china mathematics 2006年第5期49卷 639-650页

作者： CHEN Jiecheng, DING Yong & FAN Dashan department of mathematics, {2. university (Xixi Campus), hangzhou 31002., china School of Mathematical Sciences, Beijing Normal university, Beijing 100875, china department of mathematics, university of Wisconsin-Milwaukee, Milwaukee WI 532.1, USA department of mathematics, Central china Normal university, Wuhan 430074, china department of mathematics Zhejiang University [Xixi Campus] Hangzhou 310028 China School of Mathematical Sciences Beijing Normal University Beijing 100875 China department of mathematics University of Wisconsin-Milwaukee Milwaukee WI 53201 USA department of mathematics Central China Normal University Wuhan 430074 China

In this paper we study a certain directional Hilbert transform and the boundedness on some mixed norm spaces. As one of applications, we prove the Lp-boundedness of the Littlewood-Paley operators with variable kernels... 详细信息

关键词： directional Hilbert transform, Sobolev spaces, Littlewood-Paley operator,variable kernel.

Modeling of multi-inclusion composites with interfacial imperfections:Micromechanical and numerical simulations

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Science china(Technological Sciences) 2010年第3期53卷 720-730页

作者： CHEN weiQiu 1,ZHU XingYi 2.&HUANG ZhiYi 2.1 department of Engineering Mechanics,Yuquan Campus,{2. university,hangzhou 31002.,china 2.Key Laboratory of Soft Soils and Geoenvironmental Engineering,Ministry of Education department of Civil Engineering,Zijingang Campus,{2. university,hangzhou 310058,china 1. department of Engineering Mechanics Yuquan Campus Zhejiang University Hangzhou 310027 China2. Key Laboratory of Soft Soils and Geoenvironmental Engineering Ministry of Education Hangzhou 310058 China3. Department of Civil Engineering Zijingang Campus Zhejiang University Hangzhou 310058 China

A micromechanical approach based on a two-layer built-in model and a numerical simulation based on boundary element method are proposed to predict the effective properties of the multi-inclusion composite with imperfect *** spring model is introduced to simulate the interface *** two methods are compared with each other,and good agreement is *** effects of interface spring stiffness,volume ratio and stiffness of inclusions on the micro-and macro-mechanical behaviors of fiber-reinforced composites are *** is shown that the developed micromechanical method is very comprehensive and efficient for fast prediction of effective properties of composites,while the numerical method is very accurate in detailed modeling of the mechanical behavior of composites with multiple inclusions.

关键词： micromechanics boundary element method interface multi-inclusion composite effective elastic property