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Irregular wavelet frames on L^2.(R^n)

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science china Mathematics 2005年第2期48卷 277-287页

作者： YANG Deyun & ZHOU Xingwei department of Information & technology, Nankai {2., Tianjin 300071, china department of Mathematics, Nankai {2., Tianjin 300071, china department of computer science, Taishan College, Taian 2.1000, china 1. department of Information & technology Nankai University 300071 Tianjin China 2. department of Mathematics Nankai University 300071 Tianjin China 3. department of computer {2. Taishan College 271000 Taian China

In this paper, we present the conditions on dilation parameter {sj}j that ensure a discrete irregular wavelet system to be a frame on L2.Rn), and for the wavelet frame we consider the perturbations of translation para... 详细信息

关键词： wavelet transform, frame, wavelet frame, irregular dilation.

The Young's moduli prediction of random distributed short-fiber-reinforced polypropylene foams using finite element method

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science china(Technological sciences) 2009年第1期52卷 72-78页

作者： WANG Bo1, WANG RongXiu2.& WU Yong1 1 School of Mathematic science, Chongqing Institute of technology, Chongqing 400050, {2. 2.department of computer science and Information Engineering, Chongqing technology and Business university, Chongqing 400067, {2. School of Mathematic science Chongqing Institute of Technology Chongqing 400050 China department of computer {2. and Information Engineering Chongqing Technology and Business University Chongqing 400067 China

The elastic moduli of short-fiber-reinforced foams depend critically on the fiber content and fiber length, as well as on the fiber orientation distribution. Based on periodic tetrakaidecahedrons, the finite element models with short-fiber reinforcement were proposed in this paper to examine the effects of the fiber content and fiber length on Young's modulus. The fiber length distribution and fiber orientation distribution were also considered. The proposed models featured in a three-dimensional diorama with random short-fiber distribution within or on the surfaces of the walls and edges of the closed-cells of polypropylene (PP) foams. The fiber length/orientation distributions were modeled by Gaussian prob-ability density functions. Different fiber volume fractions, different lengths, and different distributions were investigated. The predicted Young's moduli of the PP foams with short-glass-fiber or short-carbon-fiber reinforcement were compared with other theoretic and experimental results, and the agreement was found to be satisfactory. The proposed finite element models were proved to be acceptable to predict the Young's moduli of the grafted closed-cell PP foams with short-fiber reinforcement.

关键词： short-fiber reinforcement Young’s modulus finite element Gaussian distribution

An improved approach to the efficient construction of and search operations in motion graphs

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science china(Information sciences) 2012年第5期55卷 1042-1051页

作者： GAO Yan 1,CHEN ZhiHua 2.CHEN MinGang 3 & SHEN Yang 3 1 Software Engineering Institute,East china Normal university,Shanghai 2.0062.china 2.department of computer science and Engineering,East china university of science and technology,Shanghai 2.02.7,china 3 department of computer science and Engineering,Shanghai Jiao Tong university,Shanghai 2.02.0,china 1. Software Engineering Institute East China Normal University Shanghai 200062 China2. Department of Computer Science and Engineering East China University of Science and Technology Shanghai 200237 China3. Department of Computer Science and Engineering Shanghai Jiao Tong University Shanghai 200240 China

Motion graphs have been widely used as an effective technique in the synthesis of human *** synthesize well-formed motions,motion graphs require smooth transitions and good ***,the time and costs grow quadratically as the graph size *** this paper,we present a method to set up a hierarchical structure,called a structure *** coarse level of this graph models different motion categories and their transitions,and the fine level mainly captures different motion *** interpolation space method is used to improve the graph connectivity at the fine *** structure guides the establishment of a faster and more realistic graphical *** the building process,this structure also helps with searching the motion graph,by performing a traverse search and placing the findings into a direct look-up table or local search ***,when there is no direct link between the different motions,a navigation map is introduced to conduct an appropriate search path via a series of transition motion *** experimental results indicate that our approach could lower the computation time in construction and searching,while simultaneously providing a richer variety of motion styles.

关键词： motion graph structure table registration curve motion interpolation

Some Reliability Problems Arising in the M^x/G(M/G)/1 Repairable Queueing System with Single Delay Vacation

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Journal of Systems science and Systems Engineering 2001年第3期13卷 306-314页

作者： TANG Ying-hui department of Applied Math., university of Electronics {2. & technology of china, chengdu 61.054, china department of Applied Math. University of Electronics Science & Technology of China Chengdu 610054 China

On the basis of Ref.\, the M x/G(M/G)/1 repairable queueing system with single delay vacation is discussed again. The following reliability problems of the service station are studied: (a) The probability that it fails at time t , i.e. its unavailability; (b) The expected failure number during the time interval (0,t\];; (c) The expected failure number during the ″server busy period″; (d) The expected downtime during the time interval (0,t\]. Some reliability results of the service station are obtained. These results would be interest to reliability analysts.

关键词： repairable vacation service station unavailability failure number downtime

A Hybrid of Theorems of Goldbach and Piatetski-Shapiro

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Chinese Annals of Mathematics,Series B 2006年第3期27卷 341-352页

作者： Xianmeng MENG Mingqiang WANG School of computer science and {2., Shandong university, Jinan 2.0100, china department of Statistics and Mathematics, Shandong Finance Institute, Jinan 2.0014, china. School of computer science and {2., Shandong university, Jinan 2.0100, china department of Mathematics, Qufu Normal university, Qufu 2.3165, Shandong, china. School of computer science and {2. Shandong University Jinan 250100 China department of Statistics and Mathematics Shandong Finance Institute Jinan 250014 China department of Mathematics Qufu Normal University Qufu 273165 Shandong China

It is proved that for almost all sufficiently large even integers n, the prime variable equation n = p1 ＋ p2. p1 ∈ Pγ is solvable, with 13/15 〈γ≤ 1, where Pγ = {p ｜p = [m^1/γ], for integer m and prime p} is t... 详细信息

关键词： Circle method Sieve method Goldbach problem

Robust H-infinity fuzzy control for uncertain Markovian jump nonlinear singular systems with wiener process

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控制理论与应用（英文版） 2010年第2期8卷 205-210页

作者： Aiqing ZHANG 1 , Huajing FANG 2.(1.College of Mathematics and computer science, Jianghan {2., Wuhan Hubei 430056, china 2.department of Control science and Engineering, Huazhong {2. of science and technology, Wuhan Hubei 430074, china) College of Mathematics and computer science Jianghan University Wuhan Hubei China department of Control science and Engineering Huazhong University of Science and Technology Wuhan Hubei China

This paper deals with the problems of robust stochastic stabilization and H-infinity control for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system. The purpose of the robust stochastic stabilization problem is to design a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for all admissible uncertainties. In the robust H-infinity control problem, in addition to the stochastic stability requirement, a prescribed performance is required to be achieved. Linear matrix inequality (LMI) sufficient conditions are developed to solve these problems, respectively. The expressions of desired state feedback fuzzy controllers are given. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

关键词： Fuzzy control H-infinity control Singular systems Stochastic stability Linear matrix inequality (LMI)

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 31002., {2. 2. department of Mathematics, Zhejiang university of technology, Hangzhou 310032. {2.) department of Mathematics Zhejiang University Hangzhou 310027 China 2. 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.

A Recovery Algorithm for Self-Stabilizing Communication Protocols

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Journal of Systems Engineering and Electronics 2000年第1期11卷 38-46页

作者： Li Layuan & Li Chunlin (department of computer {2. & technology, Wuhan nansportation university, 430063, P. R. china) department of computer {2. & technology Wuhan Transportation University 430063 P. R. China

This paper presents a recovery algorithm for self-stabilizing communication protocols. It first describes some concepts and a formal description method for the algorithm. Then it proposes the algorithm procedures, proves its correctness and analyses its complexity. Finally, it also verifies the availability and efficiency of the algorithm by illustrating an example protocol with multi-processes.

关键词： computer networks Communication protocols Recovery algorithm Self-stabilization Multimedia communication networks.

Presenting degenerate Ringel-Hall algebras of type B

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science china Mathematics 2012年第5期55卷 949-960页

作者： FAN LiJuan1 & ZHAO ZhongHua2.1department of Mathematics,Beijing Normal university,Beijing 100875,{2. 2.0} of Mathematics and computer science,School of science,Beijing university of Chemical technology,Beijing 10002.,{2. 1. department of Mathematics Beijing Normal University Beijing 100875 China2. Department of Mathematics and Computer Science School of Science Beijing University of Chemical Technology Beijing 100029 China

We give a presentation for the degenerate Ringel-Hall algebras of type B by studying the corresponding generic extension monoid *** an application,it is shown that the degenerate Ringel-Hall algebras of type B admit m... 详细信息

关键词： degenerate Ringel-Hall algebras generic extension monoid algebras Auslander-Reiten quivers Frobenius morphism