挖掘高等数学人文价值,培养大学生探究能力

数学的人文要素对培养学生的探究能力具有重要意义,在数学教学中通过体现数学人文价值来培养学生的探究能力可采取以下几种尝试:介绍古今人们对有关数学方面的认识,帮助学生全方位了解数学;借助数学史料,再现数学知识的发现过程;开展专题研究,师生共同研讨数学知识中隐含的数学思想方法;利用“数学美”,再现数学的人文价值,为此教师需做好两种形态知识的转化工作,树立新型的数学教育信念。     

More on the search for an infiltrator

We have asymptotically solved a discrete search game on an array of n ordered cells with two players: infiltrator (hider) and searcher, when the probability of survival approaches 1. The infiltrator wishes to reach the last cell in finite time, and the searcher has to defend that cell. When the players occupy the same cell, the searcher captures the infiltrator with probability 1 ? z. The payoff to the hider is the probability that the hider reaches the last cell without getting captured. © 2002 John Wiley & Sons, Inc. Naval Research Logistics, 49: 1–14, 2002; DOI 10.1002/nav.1047     

导弹制导控制与目标杀伤

采用协方差分析描述函数技术 (CADFT)对寻的导弹的制导精度进行了研究 ,提出了空气动力控制、直接侧向力控制的寻的导弹飞行末端的制导精度的一种新的解析模型 ,并研究了导弹直接碰撞杀伤目标的必要条件 ,该理论研究成果具有简单、实用、精度高的特点 ,为寻的导弹制导控制特性研究和揭示寻的理论普遍规律提供了一种新途径     

维修费用合理值计算的基本方法

阐述了武器装备维修费用合理值的计算与评估方法 ,包括平均维修费用、一次性维修费用、实际维修费用等方面     

利用MSC/DYTRAN程序仿真分析导弹战斗部立方体破片的侵彻威力

对反辐射导弹的破片杀伤战斗部中较为常见的立方体破片的 3种典型姿态侵彻 (尖端、棱边及正面侵彻 ) 4mm厚 94 5钢的侵彻过程进行仿真数值计算 .通过仿真计算 ,结合实验结果比较 ,得出结论 :不同初始侵彻姿态的立方体破片在侵彻过程中 ,由于旋转角速度的作用及稳定性的要求 ,破片的侵彻姿态将趋于正面侵彻 .不同姿态的侵彻 ,侵彻威力相差不大     

IIR系统的自适应横向滤波辨识

用自适应线性组合器匹配IIR型离散系统,通过拟合系统传递函数来辨识系统参数;比较了该法与自适应递归算法的动态性能,数值仿真结果证明该法的有效性.     

A bidirectional heuristic for maximizing the net present value of large‐scale projects subject to limited resources

We consider the scheduling of large‐scale projects to maximize the project net present value given temporal and resource constraints. The net present value objective emphasizes the financial aspects of project management. Temporal constraints between the start times of activities make it possible to handle practical problem assumptions. Scarce resources are an expression of rising cost. Since optimization techniques are not expedient to solve such problems and most heuristic methods known from literature cannot deal with general temporal constraints, we propose a new bidirectional priority‐rule based method. Scheduling activities with positive cash flows as early and activities with negative cash flows as late as possible results in a method which is completed by unscheduling techniques to cope with scarce resources. In a computational experiment, we compare the well‐known serial generation scheme where all activities are scheduled as early as possible with the proposed bidirectional approach. On the basis of a comprehensive data set known from literature containing instances with up to 1002 activities, the efficiency of the new approach is demonstrated. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

河道型水库区下垫面和地形改变对局地降水量影响

河道型水库区降水由于受到库区地形和下垫面改变的影响,研究降水与地形和下垫面改变之间的关系对于库区的生产生活非常重要。依据水汽循环理论,考虑了地形起伏引起的气流运动路径改变,以及下垫面变化引起的水库区渗透量、蒸发量和地面植被截留量的变化,推导出局地降水量与地形起伏和下垫面改变之间的关系,以三峡库区重庆段为例,对结果进行验证。计算结果表明：在下垫面改变和地形升高的作用下,年均降水量有所增加,计算结果与库区气象站检测结果较为接近。     

岩土崩塌冲击作用下埋地管道应力与变形分析

基于散体极限平衡条件,利用马斯顿提出的沟内埋管垂直土压力计算模型,对存在冲击荷载情况的埋地管道受力进行分析,同时根据弹性半空间理论对落石冲击荷载情况下管道轴向附加荷载分布情况进行了计算分析。在利用传统的应力设计进行分析校核的同时,应用竖向变形量设计理念,研究了落石垂直冲击管道正上方时管道变形情况,以此来判断管道失效与否,为地质崩塌灾害易发区埋地管道的铺设方式提供理论和实践依据。     

On the exponentially weighted moving variance

MacGregor and Harris (J Quality Technol 25 (1993) 106–118) proposed the exponentially weighted mean squared deviation (EWMS) and the exponentially weighted moving variance (EWMV) charts as ways of monitoring process variability. These two charts are particularly useful for individual observations where no estimate of variability is available from replicates. However, the control charts derived by using the approximate distributions of the EWMS and EWMV statistics are difficult to interpret in terms of the average run length (ARL). Furthermore, both control charting schemes are biased procedures. In this article, we propose two new control charts by applying a normal approximation to the distributions of the logarithms of the weighted sum of chi squared random variables, which are respectively functions of the EWMS and EWMV statistics. These new control charts are easy to interpret in terms of the ARL. On the basis of the simulation studies, we demonstrate that the proposed charts are superior to the EWMS and EWMV charts and they both are nearly unbiased for the commonly used smoothing constants. We also compare the performance of the proposed charts with that of the change point (CP) CUSUM chart of Acosta‐Mejia (1995). The design of the proposed control charts is discussed. An example is also given to illustrate the applicability of the proposed control charts. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009