量子水平的Noether恒等式

基于Green函数的相空间生成泛函,导出了定域变换下的量子正则Noether恒等式;对规范不变系统,导出了位形空间中的量子Noether恒等式.指出在某些情形下由量子Noether恒等式可导致系统的量子守恒律,这种求量子守恒律的方法与量子Noether(第一)定理的程式不同.用于非Abel Chern-Simons(CS)理论,求出了BRS和PBRS守恒荷,这两个守恒荷完全不同.     

Sampling Chaotic Trajectories Quickly in Parallel

The parallel computational complexity of the quadratic map is studied. A parallel algorithm is described that generates typical pseudotrajectories of length t in a time that scales as log t and increases slowly in the accuracy demanded of the pseudotrajectory. Long pseudotrajectories are created in parallel by putting together many short pseudotrajectories; Monte Carlo procedures are used to eliminate the discontinuities between these short pseudotrajectories and then suitably randomize the resulting long pseudotrajectory. Numerical simulations are presented that show the scaling properties of the parallel algorithm. The existence of the fast parallel algorithm provides a way to formalize the intuitive notion that chaotic systems do not generate complex histories.     

关于分数Wiener过程的不可微连续

在本文中，我们推广了Csoego＂和Shao(1994)的结果，给出了阶α（0＜α＜1）的分数Wiener过程的不可微连续模。     

Convexities related to path properties on graphs

A feasible family of paths in a connected graph G is a family that contains at least one path between any pair of vertices in G. Any feasible path family defines a convexity on G. Well-known instances are: the geodesics, the induced paths, and all paths. We propose a more general approach for such ‘path properties’. We survey a number of results from this perspective, and present a number of new results. We focus on the behaviour of such convexities on the Cartesian product of graphs and on the classical convexity invariants, such as the Carathéodory, Helly and Radon numbers in relation with graph invariants, such as the clique number and other graph properties.     

可持续发展通道及预警研究

阐述了可持续发展的组合 S型发展机制 ;探讨了可持续发展条件 ;提出了可持续发展通道的概念 ;构建了多阶段可持续发展趋势模型、可持续发展通道、可持续发展预警系统 ;给出了一个应用实例     

Detour‐saturated graphs

A graph is said to be detour‐saturated if the addition of any edge results in an increased greatest path length. In this paper, we add to the relatively small amount that is known about detour‐saturated graphs. Our main result is a determination of all connected detour‐saturated graphs with exactly one cycle. (The family of detour‐saturated trees was found by Kászonyi and Tuza 7 .) We also show that the smallest detour‐saturated graph of girth 5 is the graph obtainable from the Petersen graph by splitting one of its vertices into three, each of degree 1. © 2005 Wiley Periodicals, Inc. J Graph Theory     

中国资本外逃影响因素的计量分析

本文采用OLS方法对中国资本外逃规模不同估计下的影响因素进行了计量分析 ,结果表明 :不同于大多数发展中国家 ,中国的资本外逃具有非经济衰退驱动特点 ,同时中国的经济增长也没有起到抑制资本外逃的作用 ,中国资本外逃的主要驱动因素是外债增加、本币高估以及 1997年亚洲金融危机的影响 ,此外 ,还有许多难以量化的因素驱动了中国的资本外逃。     

Equivalence of Many-Gluon Green’s Functions in the Duffin-Kemmer-Petieu and Klein-Gordon-Fock Statistical Quantum Field Theories

We prove the equivalence of many-gluon Green’s functions in the Duffin-Kemmer-Petieu and Klein-Gordon-Fock statistical quantum field theories. The proof is based on the functional integral formulation for the statistical generating functional in a finite-temperature quantum field theory. As an illustration, we calculate one-loop polarization operators in both theories and show that their expressions indeed coincide.__________Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 143, No. 3, pp. 368–374, June, 2005.     

Fractional Motion Control: Application to an XY Cutting Table

In path tracking design, the dynamic of actuators must be taken intoaccount in order to reduce overshoots appearing for small displacements.A new approach to path tracking using fractional differentiation isproposed with its application on a XY cutting table. It permits thegeneration of optimal movement reference-input leading to a minimum pathcompletion time, taking into account both maximum velocity, accelerationand torque and the bandwidth of the closed-loop system. Fractionaldifferentiation is used here through a Davidson–Cole filter. Amethodology aiming at improving the accuracy especially on checkpointsis presented. The reference-input obtained is compared with splinefunction. Both are applied to an XY cutting table model and actuatoroutputs compared.     

影响中学生数学成绩因素的通径分析

用绵阳市 6 0 0名初中学生构成样本 ,采用J¨oreskog提出的线性结构方程式模型理论 ,以及J¨oreskog和S¨orbom开发的软件系统LIREL8.3对调查的资料进行分析。结果表明 :用 2 0个显在变量和 10个隐在变量研究影响中学生数学成绩的因素 ,最后有 13个显在变量入选构成外生模型 ,有 7个隐在变量变量入选构成内生模型。Homeback、Attitud、Views、EQ、IQ和Class这 6个内生的隐在变量对中学生的数学成绩均存在不同程度的影响 ,其中以Attitud、Homeback、IQ和EQ对数学成绩的贡献最大。内生模型中 6个内生的隐在变量的R2 的平均值为 0 .2 0 ,该模型中数学成绩(Mathachi)这一变量中可预测的方差占到了 4 1% (R2 =0 .4 1) ,将这两者结合起来考虑 ,所建立的模型应当是比较有说服力的。