Prisoner＇s Dilemma Game with Nonlinear Attractive Effect on Regular Small-World Networks

We investigate a spatial Prisoner＇s Dilemma game with nonlinear attractive effect on regular small-world networks. The players located on the sites of networks can either cooperate with their neighbours or defect. In every generation, each player updates its strategy by firstly choosing one of the neighbours with a probability proportional to .A^α denoting the attractiveness of the neighbour, where .4 is the collected payoff and ^α （-〉0） is a free parameter characterizing the extent of nonlinear effect. Then each player adopts its strategy with a probability dependent on their payoff difference. Using Monte Carlo simulations, we investigate the density pc of cooperators in the stationary state for various values of α and the rewiring probability q of the network. It is shown that the introduction of such attractive effect remarkably promotes the emergence and persistence of cooperation over a wide range of the temptation to defect for the same network structures. We also point out that long-range connections either enhance or inhibit the cooperation, which depends on the value of α and the payoff parameter b.     

一次消解测定蔬菜中多种重金属的简捷方法

针对一般实验室检测人员少,检测任务重的问题,研究了蔬菜通过一次湿化消解后,消解液可以测定多种重金属元素的方法,大大提高了效率,减轻了工作量.     

数学物理方程中的通解问题

通过例证说明,通解法对于偏微分方程而言,其适用范围要比通常认为的大.并表明,只要适当变通,行波法就可用于有界情况.     

用向量组共轭化方法改进Powell法

本文利用共轭化变换提高向量组共轭度的方法,对Powell法及修正Powell法作了改进。这一改进保持了原算法的二次终止性和关于连续可微严格凸函数的收敛性。文末用十六个公认的考机题检验了这一改进的效果。计算表明,改进后的Powell法及修正的Powell法比原算法收敛得快。     

矢量三角形法求解投掷问题中的最佳抛射角

本文采用矢量三角形法，可以极大地简化求解投掷问题的最佳抛射角计算过程．     

ICP-AES测定彩涂前处理表面调整转化层中Ti、Ni含量及钝化膜中Cr含量

采用电感耦合等离子体-原子发射光谱法同时测定彩涂前处理表面调整转化层中Ti、Ni含量及钝化膜中Cr含量.以表征表面调整转化层厚度及钝化膜厚度,采用本方法准确度高、快速简便,经试验结果令人满意.     

D—Wave Kondo Problem in a Square Tight—Bounding Lattice

A Kondo model in a square tight-bonding lattice of conduction electrons is considered.The Kondo interaction takes a d-wave.Using mean-field theory and numerical simulations,it is found that there is a pseudo-gap for the impurity density of states at the Fermi level.Numerical results also show that the exponents of the lowtemperature thermodynamic quantities are non-universal but dependent on the interaction.     

包含高阶摄动项的光学孤子演化方程的严格推导

利用奇异摄动多重尺度导数展开法,从非线性介质中的原始Maxwell方程组出发,导出了修正非线性schrdinger方程,给出了其不同形式的等价的两种表达式;同时还指出了Kodama利用约化微扰法推导此方程的不严格之处。     

透镜初级球差的横向剪切干涉条纹研究

利用玻璃平行平板构成简单的横向剪切干涉仪可以观察到单薄透镜形成的准直光束的剪切干涉条纹,由干涉条纹分布求出对应的几何像差和离焦量.用焦距为190 mm的单薄透镜做实验,实验结果与计算机模拟结果符合,说明可以从剪切干涉条纹的分布求出透镜的轴向调整误差和初级球差.