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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 Hangzhou,310027 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

Entire Solutions of Differential Equations with Finite Order Transcendental Entire Coefficients

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Acta Mathematica Sinica,English Series 1997年第4期13卷 453-464页

作者： chen Zongxuan Gao Shian department of mathematics, Jiangxi normal university. Nanchang 330027, china department of mathematics, South china normal university, Guangzhou 510631. china

In this paper, we investigate the complex oscillation of the differential equation fk+Ak-1fk-1+…+AOf=F where Ak-1.…, Ao F 0 are finite order transcendental entire functions, such that there exists an Ad（0≤d≤k-1） being dominant in the sense that either it has larger order than any other Aj（j=0.…. d-l. d+l.…. k-1）, or it is the only transcendental function. We obtain some precise estimates of the exponent of convergence of the zero-sequence of solutions to the above equation.

关键词： Non-homogeneous linear differential equation Transcendental entire function Zerosequence Exponent of convergence Order of growth

An important stratigraphic boundary in dust accumulation, South china: evidence from magnetic susceptibility

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Chinese Science Bulletin 1999年第S1期44卷 189-192页

作者： XIA Yingfei WANG Yongjin chen Jun department of Geography, nanjing normal university, nanjing 210097 department of Geosciences. nanjing university, nanjing, 210093

preliminary studies on two kinds of aeolian dust accumulation in South china show thatthere are abrupt changes of magnetic susceptibility between the upper and lower parts of thetypical profiles. This stratigraphic boundary may indict change in East Asian monsoon circulationpattern, which is induced by the significant uplift of the Tibetan Plateau in 0.15 myr or so.

关键词： magnetic susceptibility strtigraphic boundary East Asian monsoon South china

A NOTE ON THE RELATIVE CANONICAL IMAGE OF A NON-HYPERELLIPTIC FIBRATION OF GENUS

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Chinese Annals of mathematics,Series B 1994年第2期15卷 157-164页

作者： chen ZHIJIE(department of Matehematics,East normal university, Shanghai 00062, china) E china normal UNIV DEPT MATHSHANGHAI 200062PEOPLES R CHINA

This paper investigates the relative 1-canonical images of non-hyperelliptic fibrations of genus 4. It is proved that if a fibre of the relative 1-canonical image ∑ is not a complete intersection in 3 , then the var... 详细信息

关键词： Genus Non-hyperelliptic fibration Canonical image Algebraic variety.

Fredholm operators in Toeplitz algebras associated with discrete abelian groups

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Chinese Science Bulletin 1998年第14期43卷 1175-1179页

作者： XU Qingxiang 1 and chen Xiaoman 2 1. department of mathematics, Shanghai normal university, Shanghai 200234, china 2. Laboratory of mathematics for Nonlinear Sciences and Institute of mathematics, Fudan university, Shanghai 200433, china department of mathematics Shanghai Normal University Shanghai China Laboratory of mathematics for Nonlinear Sciences and Institute of mathematics Fudan University Shanghai China

The locally finite below sets are introduced and the Fredholm operators in Toeplitz algebras associated with discrete abelian groups are studied.

关键词： discrete abelian group quasi_ordered group Toeplitz operator Fredholm operator.

D-Dimensional Dirac Fermions BEC-BCS Crossover Thermodynamics

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Communications in Theoretical Physics 2007年第7期48卷 99-106页

作者： chen Ji-Sheng Institute of Particle Physics & Physics department,Central china normal university,Wuhan 430079,china Institute of Particle Physics Central China Normal University Physics department Central China Normal University

An effective relativistic continuum massive Proca Lagrangian action is used to account for the Lorentzvector condensation effects on the equation of state of the strongly interacting fermions *** interior quantumfluctuation effects are incorporated as an external field approximation indirectly through a fictive generalized ThomsonProblem counterterm *** general analytical formulas for the d-dimensional thermodynamics are given nearthe unitary limit region,In the non-relativistic limit for d=3,the universal dimensionless coefficientε=4/9 andenergy gap △/ε_f=5/18 are reasonably consistent with the existing theoretical and experimental *** the unitarylimit for d=2 and T=0,the universal coefficient can even approach the extreme occasion ξ=0 corresponding to theinfinite effective fermion mass m~*=∞,which can be mapped to the strongly coupled two-dimensional electrons and isquite similar to the three-dimensional Bose-Einstein condensation of ideal boson ***,for d=1,the universalcoefficient ξ is negative,implying the non-existence of phase transition from superfluidity to normal *** solutionsmanifest the quantum Ising universal class characteristic of the strongly coupled unitary fermions gas.

关键词： unitary fermions thermodynamics BEC-BCS crossover statistical methods

ASYMPTOTIC BEHAVIOR OF HARMONIC MAPS FROM COMPLETE MANIFOLDS

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Chinese Annals of mathematics,Series B 1999年第2期20卷 247-254页

作者： chen QUN department of Matmematics Central China Normal UniversityWuhan 430079China. department ofmathematics Wuhan UniversityWuhan 430072China.

In this paper,the author considers a class of complete noncompact Riemannian manifoldswhich satisfy certain conditions on Ricci curvature and volume comparison. It is shown thatany harmonic map with finite energy from such a manifold M into a normal geodesic ball inanother manifold N must be asymptotically constant at the infinity of each large end of M. Arelated existence theorem for harmonic maps is established.

关键词： Ricci curvature VOlume comparison Fatou's property Harmonic map

Design and Realization of Digital Informational System

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Design and Realization of Digital Informational System

From the Green's Function in Tight-Binding Representation to Interatomic Many-body Potentials

2007 8th International Conference on Electronic Measurement & Instruments（ICEMI’2007）

作者： chen Jiasheng Zhu Songsheng Bian Dongjin (nanjing normal university department of Physics nanjing 210097 china)

The Digital Informational System （DIS） is a portable,handheld,battery-operated data collection device for collecting "real-world" *** this paper the design and realization of the DIS in hardware and software are *** core module there are three part:embedded CPU S3C44B0X SDRAM HY57V641620HG and FLASH 28F320C3BA100 form handheld instrument basic *** popular ARM microprocessor was applied to the *** the powerful data calculation and control capability of ARM,the kinds more than 40,analog and digital sensor can be *** man-machine interaction is realized from the 160×160LCD and the keyboard circuit;the low power consumption and high reliably power supply is designed used in the special power supply chip;and the general functions are *** principle graphic of hardware design based on S3C44B0X is presented and the analog test circuit and cycle/frequency circuit and software of measurement and control are expatiated in detail.

关键词： Digital Informational System handheld Instrument ARM Embedded System LCD graphics display

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Journal of Materials Science & Technology 1999年第4期15卷 315-319页

作者： Shaojun LIU(department of physics, Beijing normal university, Beijing 100875, china)Xiaobo WEI(department of Physics, Liuzhou College of Education, Liuzhou 545005, china)Zhaodou chen Jun CAI and Benkun MA(department of Physics, Beijing normal university, Beijing normal Univ Dept Phys Beijing 100875 Peoples R China Liuzhou Coll Educ Dept Phys Liuzhou 545005 Peoples R China

In this paper, we deduce the analytical form of many-body interatomic potentials based on the Green's function in tight-binding representation. The many-body potentials are expressed as the functions of the hopping integrals which are the physical origin of cohesion of atoms. For thesimple case of s-valent system, the inversion of the many-body potentials are discussed in detail by using the lattice inversion method.

关键词： Rev Li chen From the Green’s Function in Tight-Binding Representation to Interatomic Many-body Potentials body