《线性代数》教学与观念更新

《线性代数》是理、工、农、经类各专业的一门重要的基础课,对后续课程起到工具性、奠基性的作用。《线性代数》中许多概念抽象、层次甚高,学生普遍感到难学,教师在教学中要注意指导和帮助学生更新观念,使其加深对抽象概念的理解,以便较好地掌握基础的代数思想和代数方法。     

北斗系统新民用导航电文历书参数算法与性能分析

研究新公布的北斗民用导航电文中的两类历书与北斗二号导航电文历书的差异，对比分析各类历书对接收机首次定位时间的影响。利用实际的历书数据，比较不同历书类型的用户算法，分析不同龄期数据对接收机首次定位性能的影响。结果表明，高精度历书在1周的数据龄期内性能较为稳定，中等精度历书精度稍逊于高精度历书，但由于简化了电文空间，能接近高精度历书性能。简约历书进一步简化了参数数目和电文空间，尽管位置误差达到了数百千米，但却能在数月之后保持相应精度，有利于缩短接收机首次定位时间。     

The People’s Liberation Army and China’s Smart Power Quandary in Southeast Asia

Abstract

China has a strong interest in pursuing a smart power strategy towards Southeast Asia and has worked laboriously to engage with regional countries economically, socially, and politically. But China has been only partially successful in achieving its goals in the region. This paper argues that China’s security policy towards Southeast Asia significantly contradicts many other objectives that Beijing wishes to accomplish. Given the deep-seated, narrowly-defined national interests of the Chinese military in the South China Sea disputes, it is likely that the People’s Liberation Army (PLA) will continue to pose the main obstacle to the effective implementation of a Chinese smart strategy in Southeast Asia.     

Single batch machine scheduling with deliveries

We consider the problem of scheduling a set of n jobs on a single batch machine, where several jobs can be processed simultaneously. Each job j has a processing time p_j and a size s_j. All jobs are available for processing at time 0. The batch machine has a capacity D. Several jobs can be batched together and processed simultaneously, provided that the total size of the jobs in the batch does not exceed D. The processing time of a batch is the largest processing time among all jobs in the batch. There is a single vehicle available for delivery of the finished products to the customer, and the vehicle has capacity K. We assume that K = rD, where and r is an integer. The travel time of the vehicle is T; that is, T is the time from the manufacturer to the customer. Our goal is to find a schedule of the jobs and a delivery plan so that the service span is minimized, where the service span is the time that the last job is delivered to the customer. We show that if the jobs have identical sizes, then we can find a schedule and delivery plan in time such that the service span is minimum. If the jobs have identical processing times, then we can find a schedule and delivery plan in time such that the service span is asymptotically at most 11/9 times the optimal service span. When the jobs have arbitrary processing times and arbitrary sizes, then we can find a schedule and delivery plan in time such that the service span is asymptotically at most twice the optimal service span. We also derive upper bounds of the absolute worst‐case ratios in both cases. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 470–482, 2015     

助飞鱼雷机动区域射击法攻潜能力研究

以飞航式助飞鱼雷为例,在分析助飞鱼雷攻潜过程的基础上,针对机动目标提出了在无指令修正情况下助飞鱼雷的机动区域射击法,并运用解析法对射击诸元进行解算。在建立助飞鱼雷作战能力仿真模型时,围绕捕获概率、鱼雷仿真和目标仿真等方面进行模型的构建,并采用蒙特卡罗方法进行仿真计算,分析采用机动区域射击方法时影响助飞鱼雷攻潜能力的主要因素及其规律,为更好发挥武器对机动目标的打击能力提供理论参考。     

胶泥缓冲器的非线性阻尼的控制机理研究

为了改善履带车辆悬挂系统在各种路面的平顺性,对悬挂系统匹配了一款具有非线性特性的粘弹性胶泥缓冲器。为了定量地研究胶泥缓冲器的非线性阻尼控制机理,建立了非线性悬挂系统的动力学方程,将非线性时滞动力系统的随机最优控制规律应用于履带车辆悬挂系统,建立了车辆垂直振动加速度与车速、路况与阻尼比之间的数学关系,从理论上推导出了最佳阻尼比。最后,对履带车辆在F级和G级路面上进行了仿真分析来验证胶泥缓冲器的非线性阻尼的变化规律,结果表明,在0.07~0.18范围内调控阻尼比,可以使车体垂直振动加速度最小。该研究工作为胶泥缓冲器的优化设计和胶泥材料的配方提供了理论指导。     

基于三角模糊数的登陆点选择模型

针对登陆点选择的特点,对登陆点选择步骤进行分析,确定影响的四个基本因素,利用三角模糊数型多属性决策方法建立登陆点选择模型。与层次分析法相比,此算法时更能突出登陆点选择时,指挥者对登陆点的偏好所影响登陆点选择的基本因素值只能大概给出,基本因素之间的权重信息也不能完全确知的特点,通过计算机编程,此模型能够快速地实现对登陆点的排序选优,为指挥员提供辅助决策。     

烟幕干扰技术综述

现代战争中,面对我国重要经济目标数量多、防护力量和资源有限的现状,选择各种高效费比的防护措施才能适应我国国情。烟幕正是一种成本低、效果明显、操作简单的干扰手段。阐述了烟幕的产生、干扰原理,重点介绍了各波段的烟幕干扰材料、常用的烟幕器材及烟幕的具体应用,对重要经济目标防护工作的实际操作具有一定借鉴意义。     

基于Monte Carlo法的地空导弹火力分配优化问题研究

在确定地空导弹对目标的可射击系数、火力重叠修正系数和转火矛盾修正系数的基础上,结合Monte Carlo法的基本原理,介绍了解决地空导弹火力分配优化问题的一般步骤。运用计算机模拟技术,通过算例,证明了该方法的可行性,为有效解决地空导弹火力分配优化问题提供了一种较为科学的方法。     

美术教育中的创造力发展研究

面对知识经济时代的到来,江总书记多次强调:”创新是一个民族的灵魂,是一个国家兴旺发达的不竭动力。”本文主要研究在美术教育中与创造力发展相关的问题。