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Acta Mathematica Scientia 2011年第5期31卷 2058-2066页

作者：谷峰 Institute of Applied mathematics and department of mathematics hangzhou Teacher's College

The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Bana... 详细信息

关键词： asymptotically pseudo-contractive mapping uniformly L-Lipschitzian map- ping parallel iterative algorithm

Sufficient and Necessary Conditions for Limit Laws on Lag Sums of I. I. D. R. V. S

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Acta Mathematica Sinica,English Series 1998年第1期14卷 113-124页

作者： Zhang Lixin department of mathematics, hangzhou university, hangzhou 310028, china

Let {X, Xn;n≥1} be a sequence of i.i.d.r.v.s with EX=0 and EX2=σ2（0n=sum from i=1 to n Xl We obtain some sufficient and necessary conditions for lim sup max max |SN-SN-j|/{2σ2k（log N/k+log logk）}1/2=1 a,s to hol... 详细信息

关键词： Strong approximation Wiener process Lag sums of i.i.d.r.v.s Chernoff function

ON COMPLETE CONVERGENCE OF NONPARAMETRIC REGRESSION M-QUANTILES

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Systems Science and Mathematical Sciences 1992年第3期5卷 227-232页

作者： CAI Zongwu (department of mathematics,hangzhou university,hangzhou 310028,china. 杭州大学浙江杭州

Consider the nonparametric regression model Y_i=m(x_i)+ε_i,i=1,…,n,where m(?)is an unknown function,and the design points x_i are knownand *** robust nonparametric estimators were introduced by H(?)rdleand Gasser in *** estimators can be viewed as regression *** then establish complete convergence for such quantiles under only the finitemoment condition.

关键词： Nonparametric kernel type estimator M-smoother quantile complete convergence

Large-deviation probabilities for maxima of sums of subexponential random variables with application to finite-time ruin probabilities

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Science china.mathematics 2008年第7期51卷 1257-1265页

作者： JIANG Tao School of Finance,Zhejiang Gongshang university,hangzhou 310018,china 1. School of Finance Zhejiang Gongshang University Hangzhou 310018 China

We establish an asymptotic relation for the large-deviation probabilities of the maxima of sums of subexponential random variables centered by multiples of order statistics of *** uniform random *** extends a corresponding result of *** an application,we generalize a result of Tang,the uniform asymptotic estimate for the finite-time ruin probability,to the whole strongly subexponential class.

关键词： large-deviation probability strongly subexponential distribution finite-time ruin probability the compound Poisson model uniform asymptotics 91B30 60G70 62P05

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 university, Nanjing 210093, china.)(department of mathematics, Xuzhou Normal university, Xuzhou 221009, china.) ZHANG KEMIN(department of mathematics, Nanjing university, Nanjing 210093, 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

SOME RESULTS ON INFINITE DIMENSIONAL NOVIKOV ALGEBRAS

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Chinese Annals of mathematics,Series B 2003年第3期24卷 309-314页

作者： ZHAO YUFENG MENG DAOJI department of mathematics, Nankai university, Tianjin 300071, china. department of mathematics, Nankai university, Tianjin 300071, china. Nankai Univ Dept Math Tianjin 300071 Peoples R China

This paper gives some sufficient conditions for determining the simplicity of infinite di-mensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikovalgebras by extending the base fie... 详细信息

关键词： Novikov algebra Novikov-Poisson Algebra Algebraic deformation

Limit of Julia sets for z^d+c

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Chinese Science Bulletin 1999年第7期44卷 595-598页

作者： YIN YongchengInstitute of mathematics , Zhejiang university, hangzhou 310027, china Institute of mathematics Zhejiang University Hangzhou China

The limit behavior of Julia set J( fd, c) for polynomials fd, c（Z） = Zd + C is considered. That { J(fd,c) }d≥2 converges to the unit circle S1 in Hausdorff metric for some fixed parameter c is proved and some examp... 详细信息

关键词： Julia set capacity Hausdorff metric.

Water solubility enhancements of PAHs by sodium castor oil sulfonate microemulsions

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Journal of Environmental Sciences 2003年第5期15卷 583-589页

作者： ZHU Li zhong *, ZHAO Bao wei, LI Zong lai (department of Environmental Science, Zhejiang university, hangzhou 310028, china.) department of Environmental Science Zhejiang University Hangzhou 310028 Chin

Water solubility enhancements of naphthalene(Naph), phenantherene(Phen) and pyrene(Py) in sodium castor oil sulfonate(SCOS) microemulsions were evaluated. The apparent solubilities of PAHs are linearly proportional to the concentrations of SCOS microemulsion, and the enhancement extent by SCOS solutions is greater than that by ordinary surfactants on the basis of weight solubilization ratio(WSR). The log K em values of Naph, Phen, and Py are 3 13, 4 44 and 5 01 respectively, which are about the same as the log K ow values. At 5000 mg/L of SCOS conccentration, the apparent solubilities are 8 80, 121, and 674 times as the intrinsic solubilities for Naph, Phen, and Py. The effects of inorganic ions and temperature on the solubilization of solutes are also investigated. The solubilization is improved with a moderate addition of Ca 2+ , Na +, NH + 4 and the mixture of Na +, K +, Ca 2+ , Mg 2+ and NH + 4. WSR values are enhanced by 22 0% for Naph, 23 4% for Phen, and 24 6% for Py with temperature increasing by 5℃. The results indicated that SCOS microemulsions improve the performance of the surfactant enhanced remediation(SER) of soil, by increasing solubilities of organic pollutants and reducing the level of surfactant pollution and remediation expenses.

关键词： sodium castor oil sulfonate microemulsion solubilization PAHs

Line bundles on non-primary Hopf manifolds

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Science china.mathematics 2004年第4期47卷 538-551页

作者： LIU Weiming & ZHOU XiangyuInstitute of mathematics, Academy of mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, china.department of mathematics, Zhejiang university, hangzhou 310028, china 1. Institute of mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences 100080 Beijing China 2. department of mathematics Zhejiang University 310028 Hangzhou China

Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) using the method of group action and the generalized Douady... 详细信息

关键词： Hopf surface, cohomology, line bundle, sections.

The structure of uniform B-spline curves with parameters

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Progress in Natural Science:Materials International 2008年第3期18卷 303-308页

作者： Juan Cao , Guozhao Wang Institute of Image Processing and Computer Graphic, department of mathematics, Zhejiang university, hangzhou 310027, china Institute of Image Processing and Computer Graphic Department of Mathematics Zhejiang University Hangzhou 310027 China

The shape-adjustable curve constructed by uniform B-spline basis function with parameter is an extension of uniform B-spline curve. In this paper, we study the relation between the uniform B-spline basis functions with parameter and the B-spline basis functions. Based on the degree elevation of B-spline, we extend the uniform B-spline basis functions with parameter to ones with multiple parameters. Examples show that the proposed basis functions provide more flexibility for curve design.

关键词： Uniform B-spline Shape parameter Shape-adjustable curve Degree elevation