多项式输出中相关变量的结构贡献和相关贡献分析

以二次不含交叉项的多项式为例,解析推导了正态相关输入变量对输出响应量方差贡献的结构贡献部分和相关贡献部分。通过算例验证了解析结果的正确性。将所研究的指标和已有的进行对比,归纳出结构贡献部分和相关贡献部分的侧重与统一。解析解可直接用于极限状态函数不超过两次且不含交叉项的结构和相关贡献的识别,为其他新的数值算法提供了参考对照。     

[AXB,GXH]=[C,D]对称最小二乘解及最佳逼近的极小残差法

构造迭代算法研究了矩阵方程[AXB,GXH] = [C,D] ,证明了该算法可经有限步得到方程的对称最小二乘解及其最佳逼近,并给出了相关性质.最后,通过数值例子表明该算法是有效的.     

考虑地球非球形引力摄动影响的自由段弹道解析解

针对地球非球形引力摄动影响下的自由段弹道快速计算问题,在非正交坐标系内建立考虑J2项摄动的地球引力作用下的运动微分方程,在轨道坐标系内建立扰动引力作用下的运动微分方程,并计算天向扰动引力加速度对应的质量偏差,进而通过椭圆轨道以修正J2项摄动运动微分方程;在建立上述运动微分方程解析解的基础上,给出了地心坐标系内弹道飞行器位置和绝对速度的表达式,从而提出了J2项摄动引力和扰动引力作用下的自由段弹道解析计算方法。仿真分析表明:该方法具有较高的计算效率,落点位置偏差小于20 m,满足弹道飞行器高精度实时制导、轨迹预测等应用需求。     

Discriminating between the Weibull and log‐normal distributions

Log‐normal and Weibull distributions are the most popular distributions for modeling skewed data. In this paper, we consider the ratio of the maximized likelihood in choosing between the two distributions. The asymptotic distribution of the logarithm of the maximized likelihood ratio has been obtained. It is observed that the asymptotic distribution is independent of the unknown parameters. The asymptotic distribution has been used to determine the minimum sample size required to discriminate between two families of distributions for a user specified probability of correct selection. We perform some numerical experiments to observe how the asymptotic methods work for different sample sizes. It is observed that the asymptotic results work quite well even for small samples also. Two real data sets have been analyzed. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

车辆运动模拟器运动参数实时监测系统

针对车辆运动模拟器运动参数的实时测量要求研制了一套计算机实时在线监测系统,介绍了监测系统的组成和功能,通过对车辆运动模拟器油缸位移的分析,推导了模拟器运动参数的理论解算方法,并从数据通讯、处理和管理等方面对监测软件进行分析与设计,从而实现了模拟器运动参数监测模式的多样化。     

新疆基层文化建设现状与发展对策

新疆基层文化建设已经取得了很大成绩,但仍存在文化基础设施落后,基层文化单位工作条件差,公共文化服务缺乏财政保障,基层文化工作队伍不健全等问题。发展新疆基层文化建设必须完善基础设施建设,不断创新文化内容和形式,进一步落实文化经济政策,完善公共文化服务体系,加强基层文化队伍建设,争取优惠政策解决新疆农村文化发展面临的突出问题。     

一类多时滞泛函微分方程周期正解的存在性

利用非线性泛函分析中半序Banach空间的锥理论和不动点指数方法,讨论了一类多时滞泛函微分方程周期正解的存在性问题,并得到此类多时滞泛函微分方程周期正解存在的几个充分条件。     

关于Smarandache序列Pd（n）和qd（n）的均值估计

对任意正整数n,Pd（n）定义为n的所有正因子的乘积,gd（n）定义为n的所有小于n的正因子的乘积。若n=p1^a1p2^a2…px^as是n的标准分解式,算数函数Ω（n）=a1＋a2＋…＋as。用解析的方法研究关于Smarandache序列Pd（n）、qd（n）与Q（n）的混合均值,并给出两个较好的渐近公式。     

一类多时滞泛函微分方程周期正解的存在性

利用非线性泛函分析中半序Banach空间的锥理论和不动点指数方法,得到了一类多时滞泛函微分方程周期正解存在性的充分性条件。     

Aircraft routing under the risk of detection

The deterministic problem for finding an aircraft's optimal risk trajectory in a threat environment has been formulated. The threat is associated with the risk of aircraft detection by radars or similar sensors. The model considers an aircraft's trajectory in three‐dimensional (3‐D) space and represents the aircraft by a symmetrical ellipsoid with the axis of symmetry directing the trajectory. Analytical and discrete optimization approaches for routing an aircraft with variable radar cross‐section (RCS) subject to a constraint on the trajectory length have been developed. Through techniques of Calculus of Variations, the analytical approach reduces the original risk optimization problem to a vectorial nonlinear differential equation. In the case of a single detecting installation, a solution to this equation is expressed by a quadrature. A network optimization approach reduces the original problem to the Constrained Shortest Path Problem (CSPP) for a 3‐D network. The CSPP has been solved for various ellipsoid shapes and different length constraints in cases with several radars. The impact of ellipsoid shape on the geometry of an optimal trajectory as well as the impact of variable RCS on the performance of a network optimization algorithm have been analyzed and illustrated by several numerical examples. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006