关于能量均分定理的证明

本文给出了能量均分定理的另一种较合适的证明方法     

Banach空间上和矩阵Drazin逆的两种表示

矩阵的Drazin逆在奇异微分方程、密码学、数值分析以及特征值问题中的扰动界等方面都有着重要的应用。给出在条件A3B =0,A2B+BAB =0,以及ABAB =0下和矩阵(A+B)的Drazin逆的两种对称表达形式,并通过数值例子解释了该表达形式。     

两资产的美式期权有限差分法

研究了基于Stulz两标资产的PDF数值方法——有限差分法.基于梅立泉等人对三元期权的有限差分公式,讨论了两资产的美式期权定价问题,并通过追赶法解三对角块矩阵使问题得到解决.     

广义实正定矩阵的进一步研究

正定矩阵在矩阵论中占有十分重要的地位,在实际中也有广泛的应用价值。有关广义正定矩阵已有一系列的推广,受文献[1],[2],[3]等的启发,进一步推广了广义正定矩阵的定义,给出了全广义实正定矩阵的定义,并得出了全广义正定矩阵的几个充分必要条件及其他若干性质。推广和改进了近期广义正定矩阵的一些相关研究结果。     

4阶矩阵两个稳定性条件的关系的注记

本文研究了当a12a13a14≠0，D≠0时，4阶矩阵稳定的徐道义条件与李森林条件的关系，得到的结果包含了[1]中的结果，解决了[1]中未解决的问题．     

关于立体阵的广义内积及其应用研究

讨论了立体阵方括号乘法的一些性质，并建立了立体阵的广义内积的概念，研究了其性质，举例说明了立体阵的应用。     

关于任意体上矩阵方程AXB+CYD=E

求解任意体与环上矩阵方程是近年来矩阵方程研究的一个热点问题,特别是四元数体上矩阵方程的研究。本文利用任意体上的双矩阵分解的方法,讨论了任意体上矩阵方程AXB＋CYD=E,并给出了其一个实用的解法和它的通解表达式。     

冷弯薄壁型钢畸变屈曲的研究进展

新材料和先进加工技术的进步使得钢材的屈服强度不断提高,为了取得更好的经济效益,冷弯钢材的厚度变得越来越薄。作为控制冷弯薄壁型钢承载能力的几种屈曲模式之一,畸变屈曲正逐步受到重视。本文总结了国内外对畸变屈曲研究的主要成果,并对几种常见荷载下的畸变屈曲计算进行了归纳。     

n阶(n1,n2,…,nk)型k重(r1,r2,…,rk)-循环矩阵相乘的快速算法

利用快速富里叶变换(FFT),给出n阶(n1,n2,…,nk)型k重(r1,r2,…,rk)-循环矩阵相乘的快速算法,其计算复杂性为O(nlog2n),其中n=k     

Generalized trust among rural-to-urban migrants in China: Role of relative deprivation and neighborhood context

China has experienced sizeable internal migration in the past several decades. This research examines the implications of internal migration on generalized trust in China. Using data from the 2014 China Labor-force Dynamics Survey (CLDS), a nationally representative survey, we compared the level of self-rated generalized trust in strangers among Chinese rural-to-urban migrants, rural nonmigrants, and urban nonmigrants. We further assessed the mediating effects of relative deprivation and neighborhood context in the relationship between migration status and generalized trust. The results show that migrants are less trusting than rural and urban nonmigrants after adjusting for relevant sociodemographic characteristics. The mediation analysis suggests that relative deprivation partially explains the difference in generalized trust between migrants and rural nonmigrants, and it greatly mediates the trust gap between migrants and urban nonmigrants. The neighborhood context largely explains the difference in generalized trust between migrants and rural nonmigrants. Moreover, urban nonmigrants are less trusting than migrants when taking neighborhood context into consideration, which indicates a suppression effect of neighborhood context on the relationship between migrant status and social trust in urban China. This study contributes to a deeper understanding of how social trust changes in the process of internal migration. Policy implications are discussed.