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气与中国美学的生命精神之生成

湘潭矿业学院学报（社会科学版） 2004年第1期7卷 17-20页

作者：黄柏青孙利军中国人民大学哲学系宗教学系北京100872 湖南师范大学湖南长沙410081

气是中国哲学的一个本体论范畴,也是中国美学的一个核心范畴。气贯穿于中国美学的始终,对中国美学的影响是多方面的,也是深远的。气具备三个基本的内涵:生成、生命、生态。气本身所具有的生命本原、生命精神、生态内涵影响了中国美学生... 详细信息

气是中国哲学的一个本体论范畴,也是中国美学的一个核心范畴。气贯穿于中国美学的始终,对中国美学的影响是多方面的,也是深远的。气具备三个基本的内涵:生成、生命、生态。气本身所具有的生命本原、生命精神、生态内涵影响了中国美学生命精神的生成及其独特的个性。

关键词：中国美学生命精神气生态内涵审美意识

ON THE LEAST SQUARES PROBLEM OF A MATRIXEQUATION

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Journal of Computational Mathematics 1999年第6期17卷 589-594页

作者： An-ping Liao(College of Science, hunan normal university, changsha 410081,{{2.) hunan normal Univ Coll Sci Changsha 410081 Peoples R China

Least squares solution of F=PG with respect to positive semidefinite symmetric P is considered,a new necessary and sufficient condition for solvablity is given,and the expression of solution is derived in the some special cases. Based on the expression, the least spuares solution of an inverse eigenvalue problem for positive semidefinite symmetric matrices is also given.

关键词： least squares solution matrix equation inverse eigenvalue problem positive semidefinite symmetric matrix

AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

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Journal of Computational Mathematics 2001年第5期19卷 459-466页

作者： Ying-guang Shi (Department of Mathematics, hunan normal university, changsha 410081,{{2.) 湖南师范大学湖南长沙 410081

Discusses an extremal problem with Birkhoff interpolation constraints. Quadrature formula derived from an extremal problem; Overview of auxiliary lemmas; Derivation of some properties of polynomials.

关键词： an extremal approach Birkhoff quadrature formulas

Superconvergence for L^2.projection in finite elements

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Chinese Science Bulletin 1998年第1期43卷 22-24页

作者： CHEN Chuanmiao Institute of Computing, hunan normal university, changsha 410081,{{2. hunan normal {{2. Institute of Computing Changsha China

Two classes of superconvergence points for L 2.projection u\-n in n degree finite elements on uniform grids are shown by element analysis method. Superconvergence points of u n are n+1 order Gauss point G n+1 for odd d≥1 (so the endpoint of each element is of superconvergent), and n+1 order pointset Z n+1 for even n ≥2.(which includes the endpoints and midpoint), respectively. Symmetry point is only an important part of them.

关键词： superconvergence finite elements L 2 projection.

SUPERCONVERGENCE ANALYSIS FOR CUBIC TRIANGULARELEMENT OF THE FINITE ELEMENTSUPERCONVERGENCE ANALYSIS FOR CUBIC TRIANGULARELEMENT OF THE FINITE ELEMENT

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Journal of Computational Mathematics 2000年第5期18卷 541-550页

作者： Qi-ding Zhu (Department of Mathematics, hunan normal university, changsha 410081,{{2. ) 湖南师范大学湖南长沙 410081

In this paper, we construct a projection interpolation for cubic triangular element by using othogonal expansion triangular method. We show two fundamental formulas of estimation on a special partion and obtain a superconvergence result of 1- ∈order higher for the placement function and its tangential derivative on the third order Lobatto points and Gauss points on each edge of triangular element.

关键词： Finite element Superconvergence Projection interpolation.

SYMMETRIC POINT STRUCTURE OF SUPERCONVERGENCE FOR CUBIC TRIANGULAR ELEMENTS -A CONSULTATION WITH ZHU

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Journal of Computational Mathematics 2003年第6期21卷 727-732页

作者： Chuan-miao Chen (Institute of Computation, hunan normal university, changsha 410081,{{2.) Institute of Computation Hunan Normal University Changsha 410081 China

Superconvergence structures for rectangular and triangular finite elements are summarized. Two debatable issues in Zhu's paper [18] are discussed. A superclose polynomial to cubic triangular finite element is construc... 详细信息

关键词： Cubic triangular element Superconvergence Symmetric points.

The Asymptotic Behavior for Numerical Solution of a Volterra Equation

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Acta Mathematicae Applicatae Sinica 2003年第1期19卷 47-58页

作者： Da XuDepartment of Mathematics, hunan normal university, changsha 410081,{{2. Department of Mathematics Hunan Normal University Changsha 410081 China

Abstract Long-time asymptotic stability and convergence properties for the numerical solution of a Volterra equation of parabolic type are studied. The methods are based on the first-second order backward difference methods. The memory term is approximated by the convolution quadrature and the interpolant quadrature. Discretization of the spatial partial differential operators by the finite element method is also considered.

关键词： Keywords Volterra equation convolution quadrature interpolant quadrature finite element asymptotic behavior

Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures

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Science china Mathematics 2007年第3期50卷 361-376页

作者： Jing-shi XU Department of Mathematics, hunan normal university, changsha 410081,{{2. Department of Mathematics Hunan Normal University Changsha 410081 China

The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(μ) functions of Tolsa with non-doubling measures is obtained, provided that ∥μ∥ = ∞ and multilinear singular... 详细信息

关键词： multilinear singular integral commutator maximal function non-doubling measure RMBO(μ) function Primary 42.2. Secondary 42.2.

Effect of D-allethrin on proteinase activity in the midgut of the spider Pardosa pseudoannulata detected by bulk acoustic wave impedance technique

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Progress in Natural Science:Materials International 2007年第12期17卷 1521-1526页

作者： Wang Zhi1, Fu Xiuqin2. Rao Liqun1 and Lu Xiangyang1(1. College of Bioscience & Biotechnology, hunan Agriculture {2., {2. 41012., china 2. College of Life Science, hunan normal university, changsha 410081, china) College of Bioscience & Biotechnology Hunan Agriculture University Changsha 410128 China College of Life Science Hunan Normal University Changsha 410081 China

The piezoelectric bulk acoustic wave (BAW) impedance analysis method was employed to monitor in situ the proteinase-catalyzed hydrolyzation of casein and the effect of pesticide D-allethrin on the proteinase activity in the midgut of the spider Pardosa pseudoannulata, and the results obtained were verified by ultraviolet spectroscopy. The hydrolyzation was significantly increased in the presence of low-dose D-allethrin, whereas significantly inhibited in the presence of high-dose D-allethrin, and a correlation was found precisely between the enzyme activity reflected by the final frequency shift after the hydrolyzation and the concentration of D-allethrin, with a significant frequency response observed even at a 1.5×10-5 volume ratio of D-allethrin to distilled water. The present work may have presented a novel method feasible for study on the mechanism of excitability of spiders under low-dose D-allethrin pesticide and quick detection of proteinase activity.

关键词： Pardosa pseudoannulata D-allethrin proteinase activity ultraviolet spectroscopy piezoelectric bulk acoustic wave impedance method.