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CONSTRUCTION OF FINITE MONOIDS (Ⅳ)

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Chinese Science Bulletin 1989年第23期34卷 1937-1940页

作者：鲍家翔 . Let μand φdenote the M?bius function and the Euler function respectively. Let |G:H| denote the index of the subgroup H of the group G.

In this report, let [α] denote the integer part of a real number α, and {α}=α-[α]. Let μ and φ denote the M?bius function and the Euler function, respectively. Let |G:H| denote the index of the subgroup H of th... 详细信息

关键词： action generating transitive subgroup fibers

User-controllable mesh segmentation using shape harmonic signature

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Progress in Natural Science:Materials International 2009年第4期19卷 471-478页

作者： Yongwei Miao a,b, Jieqing Fenga, Jinrong Wanga,c, Xiaogang Jin a a State Key Laboratory of CAD & CG, Zhejiang University, hangzhou 31002., China b college of Science, Zhejiang University of Technology, hangzhou 310032. China c Information Science & Engineering School, hangzhou normal University, hangzhou 310036, China [a]State Key Laboratory of CAD & CG Zhejiang University Hangzhou 310027 China [b]College of Science Zhejiang University of Technology Hangzhou 310032 China [c]Information Science & Engineering School Hangzhou Normal University Hangzhou 310036 China

Due to different shape modeling applications, partitioning a given complex 3D mesh model into some patches or meaningful subparts is one of the fundamental problems in digital geometry processing. By using the high-dimensional mean-shift clustering scheme in shape signature space, a new method is proposed which can generate user-specified segmentation results automatically for different applications. The shape signature is composed of mesh geometric attributes and its spectral harmonics. The latter one can reflect mesh frequency spectrum information. The low frequency components are essential for semantics-oriented segmentation, while the high frequency components are important for purely geometry-oriented segmentation. The effects of the proposed method are demonstrated by several examples.

关键词： Mesh segmentation Manifold harmonic analysis Shape harmonic signature Mean-shift clustering

ON THE GENERALIZED INVERSE NEVILLE-TYPE MATRIX-VALUED RATIONAL INTERPOLANTS

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Journal of Computational mathematics 2003年第2期21卷 157-166页

作者： Zhibing Chen9+(department of mathematics, normal {2., Shenzhen University, Shenzhen 518060, China) department of mathematics Normal College Shenzhen University Shenzhen 518060

A new kind of matrix-valued rational interpolants is recursively established by means of generalized Samelson inverse for matrices, with scalar numerator and matrix-valued denominator. In this respect, it is essentially different from that of the previous works [7, 9], where the matrix-valued rational interpolants is in Thiele-type continued fraction form with matrix-valued numerator and scalar denominator. For both univariate and bivariate cases, sufficient conditions for existence, characterisation and uniqueness in some sense are proved respectively, and an error formula for the univariate interpolating function is also given. The results obtained in this paper are illustrated with some numerical examples.

关键词： Generalized inverse for matrices Neville-type Rational interpolants.

Zinc-Mediated Addition of Bromoacetonitrile to Aldimines

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Chinese Chemical Letters 1998年第1期9卷 5-6页

作者： Xing Hua SUN Lei WANG Yong Min ZHANG(department of Chemistry, hangzhou University, hangzhou 31002.)(Visiting scholar from Huaibei Coal normal college.)(To whom correspondences should be addressed.) hangzhou Univ Dept Chem Hangzhou 310028 Peoples R China

In the presence of chlorotrimethylsilane, zinc-mediated addition of bromoacetonitrile to aldimines gives beta-aminonitriles in THF with good yields.

关键词： zinc-mediated addition bromoacetonitrile aldimines

INTERPLAY BETWEEN FRENKEL EXCITONS AND PHOTONS

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厦门大学学报（自然科学版） 1993年第S2期32卷 109-114页

作者： Li Baoxing(Physics department, hangzhou Teachers’ {2. 310012. 杭州师范学院浙江杭州

We investigate the effect of photons and phonons on Frenkel exciton spectrum. The Hamilto nian for a coupled system of the Frenkel excitons. the photons and the phonons is derived. The phonon-exciton interaction makes the energy band of the Frenkel excitons narrow. The photons and the Frenkel excitons make up Frenkel exciton polaritons which are quasi-particles. The Frenkel exciton polariton spectrum consists of two branches. It is found that the photon-exciton interaction makes the ground energy of the Frenkel excitons increase.

关键词： exciton Frenkel phonon branches Hamiltonian photon narrow quasi operators insulating

On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators

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Acta Mathematica Sinica,English Series 1994年第3期10卷 315-324页

作者： Chen Dirong department of mathematics Beijing normal University Beijing,100875 and Center for Mathematical Sciences Zhejiang University {2.,31002. China 1. department of mathematics Beijing Normal University 100875 Beijing 2. Center for Mathematical Sciences Zhejiang University 310027 Hangzhou China

This paper discusses some problems on the cardinal spline interpolation correspond- ing to infinite order differential *** remainder formulas and a dual theorem are es- tablished for some convolution classes,where the kernels are PF ***,the exact error of approximation of a convolution class with interpolation cardinal splines is determined. The exact values of average n-Kolmogorov widths are obtained for the convolution class.

关键词： Math On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators lim Chen 卜成

Diagnostic checking for conditional heteroscedasticity models

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Science China mathematics 2010年第10期53卷 2773-2790页

作者： WU JianHong1,& ZHU LiXing2.1college of Statistics and mathematics,Zhejiang Gongshang University,{2. 310018,China 2.3},Hong Kong Baptist University,Kowloon Tong,Hong Kong,China 1. college of Statistics and mathematics Zhejiang Gongshang University Hangzhou 310018 China2. Department of Mathematics Hong Kong Baptist University Kowloon Tong Hong Kong China

We suggest the score type tests for goodness-of-fit of conditional heteroscedasticity models in both univariate and multivariate time *** tests can detect the alternatives converging to the null at a parametric *** functions are involved in the construction of the tests,which provides us with the flexibility to choose scores,especially under directional alternatives,for enhancing power ***,when the alternatives are not directional,we construct asymptotically distribution-free maximin tests for a large class of alternatives.A possibility to construct score-based omnibus tests is discussed when the alternative is *** power performance is also investigated.A simulation study is carried out and a real data is analyzed.

关键词： conditional heteroscedasticity model maximin test model checking score type test time series

Characteristics of fMRI BOLD signal and its neurophysiological mechanism

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Progress in Natural Science:Materials International 2007年第6期17卷 630-638页

作者： Zhao Xiaohu1,2. Wu Yigen3 and Guo Shengli3(1. college of Life Sciences, Zhejiang University, hangzhou 310058, China 2. Imaging {2. of Tongji Hospital of Tongji University, Shanghai 2.0065, China 3. college of mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 2.0044, China) college of Life Sciences Zhejiang University Hangzhou 310058 China Imaging department Tongji Hospital Tongji University Shanghai 200065 China college of mathematics and Physics Nanjing University of Information Science and Technology Nanjing 210044 China

The functional magnetic resonance imaging (fMRI) based on blood oxygen level dependent (BOLD) contrast has emerged as one of the most potent noninvasive tools for mapping brain function and has been widely used to explore physiological, pathological changes and mental activity in the brain. Exploring the nature and property of BOLD signal has recently attracted more attentions. Despite that great progress has been made in investigation of the characteristics and neurophysiological basis, the exact nature of BOLD signal remains unclear. In this paper we discuss the characteristics of BOLD signals, the nonlinear BOLD response to external stimuli and the relation between BOLD signals and neural electrophysiological recordings. Furthermore, we develop our new opinions regarding nonlinear BOLD response and make some perspectives on future study.

关键词： functional magnetic resonance imaging blood oxygen level dependent nonlinear response neural electrophysiological activity.

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, Zhejiang University (Xixi Campus), hangzhou 31002., China School of Mathematical Sciences, Beijing {2. University, Beijing 100875, China department of mathematics, University of Wisconsin-Milwaukee, Milwaukee WI 532.1, USA department of mathematics, Central China {2. 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.