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The CONVERGENCE ON A FAMILY OF ITERATIONS WITH CUBIC ORDER

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Journal of Computational mathematics 2001年第5期19卷 467-474页

作者： Dan-fu Han (department of mathematics, zhejiang university, hangzhou 310028, china) 浙江大学浙江杭州 310028

Establishes a convergent theorem for a family of iterations with cubic order by using general convergence hypotheses. Disadvantage of using the cubic majorizing function; Convergence of the majorizing sequence; Overvi... 详细信息

关键词： convergence majorizing method gamma-condition error estimate

The cohomology group of weak entwining structure

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Science china mathematics 2007年第5期50卷 665-674页

作者： Ling JIA & Fang LI department of mathematics, Ludong university, Yantai 264025, china department of mathematics, zhejiang university, hangzhou 310027, china department of mathematics Ludong University Yantai China department of mathematics Zhejiang University Hangzhou China

In this paper, we reveal that a weak entwining structure admits a rich cohomology theory. As an application we compute the cohomology of a weak entwining structure associated to a weak coalgebra-Galois extension.

关键词： weak entwining structure cohomology group 16W80 16W99

On the Notion of Cobordism for Bounded Manifolds

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Acta Mathematica Sinica,English Series 1994年第1期10卷 59-63页

作者： Gan Danyan department of mathematics zhejiang university hangzhou,310027 china department of mathematics Zhejiang University Hangzhou China

The usual concept of eobordism is concerned with closed *** this paper, we generalise the concept of cobordism to the extent of bouncded manifolds and obtain a homotopy theorem similar to the theorem of Thom.

关键词： On the Notion of Cobordism for Bounded Manifolds

Shape blending of artistic brushstroke represented by disk B-spline curves

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Progress in Natural Science:Materials International 2007年第12期17卷 1501-1507页

作者： Cheng Min1,2 and Wang Guojin1(1. department of mathematics, zhejiang university, hangzhou 310027, china 2. department of mathematics, zhejiang university of Technology, hangzhou 310032, china) department of mathematics Zhejiang University Hangzhou 310027 China department of mathematics Zhejiang University of Technology Hangzhou 310032 China

This paper presents an algorithm for automatically generating in-between frames of two artistic brushstrokes. The basic idea of the algorithm is to represent the two key frames of artistic brushstrokes in disk B-spline curves, and then make blending of their geometric intrinsic variables. Given two key frames of artistic brushstrokes, the skeleton curves can be obtained by certain skeleton-based techniques. After disk B-spline representation of the key frames is generated, interpolation of the intrinsic variables of the initial and the target disk B-spline curves is carried out. Examples show that this method can efficiently create in-between frames of artistic brushstrokes.

关键词： computer aided calligraphy shape blending brushstroke disk B-spline curve skeleton.

SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS

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Chinese Annals of mathematics,Series B 2005年第4期26卷 651-658页

作者： WANG MENG department of mathematics, zhejiang university, hangzhou 310027, china School of Mathematical Sciences, Pudan university, Shanghai 200433, china. department of mathematics Zhejiang University Hangzhou 310027 China School of Mathematical Sciences Fudan University Shanghai 200433 China

Let M be an n dimensional complete Riemannian manifold satisfying the doublingvolume property and an on-diagonal heat kernel estimate. The necessary-sufficientcondition for the Sobolev inequality ‖f‖q ≤ Cn,,v,p,q(... 详细信息

关键词： Sobolev inequality Complete manifold Riesz transform Potential heat kernel

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.

Online uniform machine covering with the known largest size

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Progress in Natural Science:Materials International 2007年第11期17卷 1271-1278页

作者： Cao Shunjuan1,2 and Tan Zhiyi1,3(1. department of mathematics, zhejiang university, hangzhou 310027, china 2. department of mathematics, zhejiang Forestry university, hangzhou 311300, china 3. State Key Laboratory of CAD & CG, zhejiang university, hangzhou 310027, china) department of mathematics Zhejiang University Hangzhou 310027 China department of mathematics Zhejiang Forestry University Hangzhou 311300 China State Key Laboratory of CAD and CG Zhejiang University Hangzhou 310027 China

This paper investigates the semi-online scheduling problem with the known largest size on two uniform machines. The objective is to maximize the minimum machine completion time. Both lower bounds and algorithms are given. Algorithms are optimal for the majority values of s≥1, where s is the speed ratio of the two machines. The largest gap between the competitive ratio and the lower bound is about 0.064. Moreover, the overall competitive ratio 2 matches the overall lower bound.

关键词： scheduling and covering uniform machine design and analysis of algorithm online competitive ratio

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

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