环状连续强激光下光学薄膜的瞬温和热畸变

详细研究了非冷却光学薄膜元件在环形激光光束辐照下的瞬态温度分布和随后的热畸变，并且用泰曼干涉仪实际测量了连续波氧碘激光辐照各种非冷却光学元件的热畸变量并与理论计算相比较，分析结果表明理论和实验相一致。     

THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT

This paper is a continuation of [8]. In Section 1, three kinds of communication are introdnced for two states and the relations among them are investigated. In Section 2, two kinds of period of a state are introdnced and it is obtained that the period is a “class property” ,i.e. two states x and y belong to same class implies the period of x is equal to the period of y.     

Ni-Si多层膜中固态非晶化反应的热力学与动力学过程

研究了Ni/非晶Si(a-Si)多层组分调制膜(ML)中界面上的固相反应。根据计算的亚稳自由能图,对界面上固相反应形成非晶态进行了热力学与动力学的分析。提出了Ni/a-Si多层膜中的固相反应的动力学模型。 关键词：     

随机环境中双移民生灭过程的极限性质

引入了随机环境中双移民生灭过程的概念，定义了过程的模态指示函数，在此基础上研究了其转移矩阵的平稳分布，给出了平稳分布众数的位置与模态指示函数之间的关系．研究了平稳分布的众数与边界关系．     

随机环境中多物种分枝随机游动

引进了随机环境中多物种分枝随机游动的一般模型.在分枝过程非灭绝的情况下,讨论了系统的状态分类,得到了系统暂留及强常返的充要条件是存在k个定义在整数集上的函数分别满足某种性质.最后给出了系统强暂留的充分条件.     

Dynamical Convergence Trajectory in Networks

It is well known that topology and dynamics are two major aspects to determine the function of a network. We study one of the dynamic properties of a network： trajectory convergence, i.e. how a system converges to its steady state. Using numerical and analytical methods, we show that in a logical-like dynamical model, the occurrence of convergent trajectory in a network depends mainly on the type of the fixed point and the ratio between activation and inhibition links. We analytically proof that this property is induced by the competition between two types of state transition structures in phase space： tree-like transition structure and star-like transition structure. We show that the biological networks, such as the cell cycle network in budding yeast, prefers the tree-like transition structures and suggest that this type of convergence trajectories may be universal.     

THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

In this article,the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions.Several examples are given at the end.     

无法利用几何意义吗

学了李向忠、张钟谊二位老师在《中学生数学》2003年11月期上发表的“绝对值几何意义的应用”一文后,同学们可能会对二位老师的“提示”:“应用绝对值的几何意义去解绝对值的一些题目,能使解题过程大为简化和直观”产生共鸣,有所感悟.那么,你对二位老师的“告诫”:“当绝对值的个数多于两个,或者当x的系数不是1时,就无法利用几何意义”求解有何认识,有无困惑?你会对此提出质疑吗?你会探究进而释疑吗?     

基于Delaunay三角法的电压门控钾离子通道的分类和拓扑结构识别

本文构建了一个Delaunay模型对电压门控钾离子(Kv)通道进行预测。该方法通过建立一系列带有隐含变量的单纯形来分类电压门控钾离子通道,然后通过未知序列在主成分空间里面的投影来预测结构。结果表明该模型无论是在分类和结构预测上均可以得到很好的结果。     

也谈平方米与亩互化的速算方法

近读2007年第2期《珠算与珠心算》刊载的邵长发同志"平方米与亩互化的珠算口诀"一文,(以下简称邵文)受到了很大启发。觉得在农村经常会遇到此类实际计算问题。特别是目前农村仍多使用珠算,有了简单快捷的计算方法,操作起来,既省时又省事,使珠算又能发挥其有益的作用。但是,邵文介绍的19句口诀,在使用前需先熟背,给推广带来一定难度。笔者不揣浅陋,将所见到的速算方法推介出来,作为对邵文的补充。