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Strong near-epoch dependence

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Science China Mathematics 2004年第4期47卷 497-507页

作者： LIN ZhengyanDepartment of Mathematics, Zhejiang University, Hangzhou 310028, China Department of Mathematics Zhejiang University Hangzhou China

We introduce a new class of dependent sequences of random variables, which is a subclass of near-epoch dependent sequences, but can also be approximated by mixing sequences. For this kind of sequences of random variables, we call them strong nearepoch dependent sequences, a p-order, p ＞ 2, (maximum) moment inequality is established under weaker dependence sizes.

关键词： near-epoch dependence, mixingale, strong near-epoch dependence, moment inequality, convergence.

Interaction mechanisms of organic contaminants with burned straw ash charcoal

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Journal of Environmental Sciences 2010年第10期22卷 1586-1594页

作者： Wenhai Huang,Baoliang Chen Department of Environmental Science,Zhejiang University,Hangzhou 310028,China Department of Environmental Science Zhejiang University Hangzhou 310028 China

Black carbons （e.g., charcoal） have a great impact on the transport of organic contaminants in soil and water because of its strong affinity and ubiquity in the environment. To further elucidate their interaction mechanism, sorption of polar （p-nitrotoluene, m-dinitrobenzene and nitrobenzene） and nonpolar （naphthalene） aromatic contaminants to burned straw ash charcoal under different de-ashed treatments were investigated. The sorption isotherms fitted well with Freundlich equation, and the Freundlich N values were all around 0.31-0.38, being independent of the sorbate properties and sorbent types. After sequential removal of ashes by acid treatments （HCl and HCl-HF）, both adsorption and partition were enhanced due to the enrichment of charcoal component. The separated contribution of adsorption and partition to total sorption were quantified. The effective carbon content in ash charcoal functioned as adsorption sites, partition phases, and hybrid regions with adsorption and partition were conceptualized and calculated. The hybrid regions increased obviously after de-ashed treatment. The linear relationships of Freundlich N values with the charring-temperature of charcoal or biochar （the charred byproduct in biomass pyrolysis） were observed based on the current study and the cited publications which included 15 different temperatures （100-850℃）, 10 kinds of precursors of charcoal/biochar, and 10 organic sorbates.

关键词： ash charcoal organic pollutant adsorption partition effective carbon

THE CONVERGENCE OF DURAND-KERNER METHOD FOR SIMULTANEOUSLY FINDING ALL ZEROS OF THE POLYNOMIAL

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Journal of Computational Mathematics 2000年第6期18卷 567-570页

作者： Dan-fu Han (Department of Mathematics, Zhejiang University, Hangzhou 310028, China) 浙江大学浙江杭州 310028

In this paper we propose the two kinds of different criterions and use them to judge the convergence of Durand-Kerner method and to compare the obtained results with other methods. [ABSTRACT FROM AUTHOR]

关键词： Durand-Kerner method convergence two kinds of criterions

A note on characterization of Hardy space H^1

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Science China Mathematics 2005年第4期48卷 448-455页

作者： WANG Silei Department of Mathematics, Zhejiang University, Hangzhou 310028, China Department of Mathematics Zhejiang University Hangzhou China

An all-round answer is given to the following question: 'Find a necessary and sufficient size condition for an integrable compactly supported function on Rn with mean value zero to be in the Hardy space H1.' Stefanov ... 详细信息

关键词： Hardy space Riesz transform Hilbert transform

FUNCTIONAL MODULUS OF CONTINUITY FOR BROWNIAN MOTION IN HLDER NORM

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Chinese Annals of Mathematics,Series B 2001年第2期22卷 223-232页

作者： WEI QICAI School of Economics, Zhejiang University, Hangzhou 310028, China. School of Economics Zhejiang University Hangzhou 310028 China

The author establishes a large deviation for k-dimensional Brownian motion B in stronger topology, by which the functional modulus of continuity for B in Holder norm can be obtained.

关键词： Large deviations Functional modulus of continuity k-dimensional Brownian motion Holder norm

APPLICATION OF NEWTON'S AND CHEBYSHEV'S METHODS TO PARALLEL FACTORJZATION OF POLYNOMIALS

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Journal of Computational Mathematics 2001年第4期19卷 347-356页

作者： Shi-ming Zheng (Department of Mathematics, Xixi Campus, Zhejiang University, Hangzhou 310028, China) 浙江大学浙江杭州 310028

In this paper it is shown m two different ways that one of the family of parallel iterations to determine all real quadratic factors of polynomials presented in [12] is Newton's method applied to the special equation (1.7) below. Furthermore, we apply Chebyshev's method to (1.7) and obtain a new parallel iteration for factorization of polynomials. Finally, some properties of the parallel iterations are discussed.

关键词： Newton's method Chebyshev's method Parallel iteration Factorization of polynomial.

Convergence on the iteration of Halley family in weak conditions

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Chinese Science Bulletin 1997年第7期42卷 552-555页

作者： WANG XinghuaDepartment of Mathematics, Hangzhou University, Hangzhou 310028, China Department of Mathematics Hangzhou University Hangzhou China

WE have obtained the convergence theorems of the iteration of Halley family by the point estimate of Smale. In the point estimate, map f which is desired to be solved is presumed to be analytic in some proper neighbor... 详细信息

关键词： operator equations Banuch space the iteration of Halley family convergence weak conditions.

An invariance principle for negatively associated random variables

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Chinese Science Bulletin 1997年第5期42卷 359-364页

作者： LIN ZhengyanDepartment of Mathematics and Information Science, Hangzhou University, Hangzhou 310028, China Department of Mathematics and Information Science Hangzhou University Hangzhou China

A finite collection of random variables, X1,…, Xn （n≥2）, is said to be negatively associated （NA） if any two coordinatewise nondecreasing （or nonincreasing） functions f1 and f2 on Rn, such that （?）j=fj（X1,…,Xn） have a finite variance for j=1, 2 and Cov（（?）1,（?）2）≤0; an infinite collection is said to be NA if every finite subcollection is NA. It is relative to a lot of practical problems, such as reliability theory, percolation models and multivariate statistical analysis. Matula （1992） studied the strong laws of large numbers for an NA sequence. Recent-

关键词： negatively associated random variables weak invariance principle.

A FAMILY OF HIGH-ODER PARALLEL ROOTFINDERS FOR POLYNOMIALS

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Journal of Computational Mathematics 2000年第3期18卷 283-288页

作者： Shi-ming Zheng (Department of Mathematics, Xixi Campus,Zhejiang University, Hangzhou, 310028, China) 浙江大学浙江杭州 310028

Presents a family of parallel iterations for finding all zeros of a polynomial without evaluation of derivatives. Construction of iterations; Convergence of the iterations; Details on the numerical examples.

关键词： parallel iteration zeros of polynomial order of convergence