Stabilizing the monodromy of an open book decomposition

We prove that any mapping class on a compact oriented surface with non-empty boundary can be made pseudo-Anosov and right-veering after a sequence of positive stabilizations.      

一种基于事件触发的分布式卡尔曼一致性滤波算法设计

针对无线传感器网络中存在的通信带宽受限等问题,设计了基于事件触发的分布式卡尔曼一致性滤波算法.采用增量发送的传输机制,每个传感器仅在当前时刻观测值与最新触发时刻观测值之间的差值平方超出阈值时,才将观测值发送到相应的估值器.而每个估值器都可以通过时间触发的规则从其邻居节点接收到估计值.为了避免估值之间互协方差矩阵的计算,通过局部最小化方差的上界提出了事件触发的分布式卡尔曼滤波器.基于李雅普诺夫方法证明了算法在均方意义下的指数有界性.数值仿真验证了事件触发的阈值越小,通信率越高且滤波器的估计精度越高;否则,通信率越低且估计精度越低.     

对卡夫卡作品《城堡》多意性的解读

通过对卡夫卡代表作《城堡》的解读，一改传统的看法，把城堡看成是人的精神寻求的精神依归，主人公K的心路历程召示了他只能在一种二律背反的两极中原地徘徊，而不能进入到自己想要寻找的归属地，他用尽了一切手段想尽了一切方法结果是徒劳无功，这就意味着他的人生只能以悲剧而告终，也暗示着卡夫卡作为一个犹太人在人生境遇中的尴尬地位。     

有限群的共轭类个数与群的性质

用群的共轭类个数刻画了交换群,同时用一个很简洁的方法重新证明了Frobenius G提出的一个著名问题:对于一个固定的数自然数n,共轭类数为n的有限群,在同构的意义下是有限的.     

在化学实验教学中强化学生专业素质的教育

在指导化学实验教学中,因材施教,从职业观、科学观、技能观等方面入手,因势利导、启发教育学生,提高化学专业素质。     

The best quadrature formula based on Hermite information for the class KW~2[a,b]

The best quadrature formula has been found in the following sense:for afunction whose norm of the second derivative is bounded by a given constant and thebest quadrature formula for the approximate evaluation of integration of that function canminimize the worst possible error if the values of the function and its derivative at certainnodes are known.The best interpolation formula used to get the quadrature formula aboveis also found.Moreover,we compare the best quadrature formula with the open compoundcorrected trapezoidal formula by theoretical analysis and stochastic experiments.     

关于当代美术创作若干问题的思考

从上世纪90年代西方后现代主义文明冲击中国至今,中国的艺术界好似一夜之间"千树万树梨花开",各种思潮纷繁出现,各种表现手法层出不穷,一度的迷茫徘徊以及大量的探索后,人们开始进入反思阶段:我们这个时代的艺术家应该处在怎样的创作状态,而我们这个时代的艺术又要向何处发展?     

高校班级管理信息系统分析与设计

文章从高校班级管理现状分析入手,总结出班级管理信息系统的总体结构,提出了模块设计和数据库设计的基本内容,并分析了系统特点。设计的系统是一套符合大多数高校实际情况的系统,应用此系统,将使各类班级管理人员从繁琐、重复的日常工作中解脱出来,提高工作效率,保证工作的正确性和准确性。     

Relativistic dynamics for spin-zero and spin-half particles

The classical and quantum mechanics of a system of directly interacting relativistic particles is discussed. We first discuss the spin-zero case, where we basically follow Rohrlich in introducing a set of covariant centre of mass (CM) and relative variables. The relation of these to the classic formulation of Bakamjian and Thomas is also discussed. We also discuss the important case of relativistic potentials which may depend on total four-momentum squared. We then consider the quantum mechanical case of spin-half particles. The negative energy difficulty is solved by introducing a number of first class constraints which fix the spinor structure of physical solutions and ensure the existence of proper CM and relative variables. We derive the form of interactions consistent with Lorentz invariance, space inversion, time reversal and charge conjugation and with the above mentioned first class constraints and find that it is analogous to that for the non-relativistic case. Finally the relationship of the present work with some previous work is briefly discussed.