一类中立型泛函微分方程解的振动定理

给出了二阶中立型泛函微分方程,其中Pi（t）∈C（[t_0，∞），[0，∞）），τ_i＞0（i＝1，2…，m），f（t，u）∈C（[t_0，∞）×R，R）且f（t，0）＝0,g（t,v）∈C（[t_0，∞）×R，R）且的一切解均为振动的必要和充分条件。     

几类可化为常微分方程求解的积分方程(组)

本文提出了若干可化为一阶、n阶(n≥2)常微分方程求解的积分方程(组)的类型,并给出了解的表达式,应用其公式,可简化求相应方程(组)解的演算过程,还对文献中的有关问题作了总结与推广。     

随机系数代数方程平均实根个数的估计

考虑随机系数代数方程 F_n(w,t)= _0(w) _1(w)t … _(n-1)。(w)t~(n-1)=0,其中 _i(w)(i=0,1,…,n-1)为独立且服从标准正态分布的随机变量。令EN_F,(w)表示 F_n(w,t)的平均实根个数。本文证明了EN_F(w)<2/πln n-2/(nπ) 1.2372771。     

The effect of school resources on pupil attainment: a multilevel simultaneous equation modelling approach

Summary.  Improving educational achievement in UK schools is a priority, and of particular concern is the low achievement of specific groups, such as those from lower socio-economic backgrounds. An obvious question is whether we should be improving the outcomes of these pupils by spending more on their education. The literature on the effect of educational spending on the achievement of pupils has some methodological difficulties, in particular the endogeneity of school resource levels, and the intraschool correlations in pupils' responses. We adopt a multi-level simultaneous equation modelling approach to assess the effect of school resources on pupil attainment at age 14 years. The paper is the first to apply a simultaneous equation model to estimate the effect of school resources on pupils' achievement, using the newly available national pupil database and pupil level annual school census.     

基于同时发射声纳环移动机器人导航系统

开发了一种能在未知环境下实现快速障碍检测与障碍回避的基于同时发射声纳环移动机器人导航系统。为了消除由于同时发射造成的串话干扰,提出了一种基于神经网络模式识别的过滤方法;并制作了由24个声纳传感器组成的声纳环安装到实际的移动机器人上,实现了扫描频率最大可达到66Hz的全景检测。系统中应用了动态窗口法来完成快速障碍回避的运动规划。实际的导航实验表明,系统可用于室内未知环境中的移动机器人快速导航。     

线性矩阵方程的中心对称解

在矩阵的向量函数和Kronecker积的基础上定义了矩阵的部分向量函数,利用Moore-Penrose的有关知识给出了矩阵方程的中心对称解的结构和性质.     

倒向随机微分方程中非参数估计的核函数选择

比较了多种类型的核函数下倒向随机微分方程（BSDE）中生成元z的非参数估计方法,利用不同的核函数估计BSDE中的生成元z的非参数估计,在均方误差意义下比较了8种不同的核函数下得到的BSDE的生成元z的非参数估计的精度,统计分析结果显示Gaussian核函数下的估计效果最好。     

《线性代数》课程教学改革初探

《线性代数》为高等院校的三大基础数学课之一,它的重要性不言而喻.本文结合《线性代数》自身的特点,初步探讨了教学过程中应注意的几个问题,以期达到提高该课程教学质量和教学效果的目的.     

Cumulative Response to Sequences of Terror Attacks Varying in Frequency and Trajectory

There is a paucity of research examining public response to the cumulative effects of multiple related extreme events over time. We investigated the separate and combined effects of frequency and trajectory of terrorist attacks. A scenario simulation of a series of gas station bombings in Southern California was developed to evaluate respondents' affect, risk perception, and intended avoidance behavior using a 3 (frequency; low vs. medium vs. high) by 3 (trajectory; increasing vs. constant vs. decreasing) factorial design. For each of the nine conditions, three videos were created to simulate news broadcasts documenting the attacks over a three‐week period. A total of 275 respondents were included in the analysis. Results from analysis of covariances (ANCOVAs) indicate that trajectory of the sequential attacks (increasing or decreasing in frequency) predicts negative affect, risk perception, and avoidance behavior. In contrast, frequency predicts neither negative affect, positive affect, risk perception, nor intended avoidance behavior. Results from structural equation modeling (SEM) further indicate that the effect of negative affect on behavioral intention is mediated by risk perception and the effect of trajectory on risk perception is partially mediated by negative affect. In addition, both ANCOVAs and SEM model results suggest that (1) females experience less positive affect and perceive more risk than males, (2) respondents with higher income perceive more risk, and (3) younger respondents are more likely to modify their behavior to avoid the risk of future attacks.