高等几何中共点线(共线点)问题的证明

通过一题十种证法试图说明,共点线（共线点）问题的证明在高等几何中的重要作用。     

高维非线性电路平衡点稳定性研究

提出了一种新的分析具有分解形式的高维非线性电路平衡点全局渐近稳定的方法.这种方法以矩阵分解为工具,结合平衡点的渐近稳定判据,用分解矩阵的稳定性决定平衡点的全局渐近稳定性.与目前该问题所采用的LIYAPUNOV直接法相比,该方法具有无须判断平衡点的唯一性,判别方法直接明了等优点.电路维数越大时,此方法越有其优势.同时,该方法对于其他形式的非线性系统的分析,也有重要的启发性及应用价值.     

一类可逆多分子饱和反应系统的定性研究

研究了一类具有饱和输出的可逆多分子反应动力学模型 x=( y b) (δ-xyn cyn 1 ) y=( y b) yn(x-cy) -ay应用微分方程定性理论 ,较完整地解决了该系统极限环的存在性、唯一性及不存在性。     

舰炮对岸无瞄准点射击诸元计算模型

介绍了一种新的舰炮射击方法--舰炮对岸无瞄准点射击概念、原理,建立了目标相对坐标计算模型、观测舰位坐标转换模型,解决了水面舰艇舰炮对岸上目标射击诸元计算问题.舰炮对岸无瞄准点射击,解决了水面舰艇全天候对岸应召射击问题,显著提高了舰炮对岸打击能力和战术使用的灵活性.     

飞机运动态势对航空深弹入水点散布影响分析

航空自导深弹具有结构简单、可靠性高、不受水文条件限制等特点,而且还具有自导捕获和跟踪目标能力,对于提高航空兵部队反潜能力具有重要作用。反潜机投放高度、投放速度等运动态势关系到使用航空自导深弹对目标实施准确打击。针对航空自导鱼雷攻潜实际过程,建立其入水点的散布误差模型和空中弹道模型,并仿真分析反潜机投弹高度、投弹速度对航空自导深弹入水点的影响。     

Optimal source placement for point coverage in active multistatic sonar networks

The allocation of underwater sensors for tracking, localization, and surveillance purposes is a fundamental problem in anti-submarine warfare. Inexpensive passive receivers have been heavily utilized in recent years; however, modern submarines are increasingly quiet and difficult to detect with receivers alone. Recently, the idea of deploying noncollocated sources and receivers has emerged as a promising alternative to purely passive sensor fields and to traditional sonar fields composed of collocated sources and receivers. Such a multistatic sonar network carries a number of advantages, but it also brings increased system complexity resulting from its unusual coverage patterns. In this work, we study the problem of optimally positioning active multistatic sonar sources for a point coverage application where all receivers and points of interest are fixed and stationary. Using a definite range sensor model, we formulate exact methods and approximation algorithms for this problem and compare these algorithms via computational experiments. We also examine the performance of these algorithms on a discrete approximation of a continuous area coverage problem and find that they offer a significant improvement over two types of random sensor deployment.     

Asymptotic properties of imperfect repair models and estimation of repair efficiency

The aim of this articles is to study the asymptotic behavior of two imperfect repair models, called Arithmetic Reduction of Intensity and Arithmetic Reduction of Age models. These models have been proposed by Doyen and Gaudoin (Reliab Eng Syst Safe 84 (2004) 45–56) and include many usual virtual age models. First, it is proved that the failure intensity of these models is asymptotically almost surely equivalent to a deterministic increasing function with a cumulative error proportional to a logarithm. Second, the almost sure convergence and asymptotic normality of several estimators of repair efficiency are derived, when the wear‐out process without repair is known. Finally, the coverage rate of the asymptotic confidence intervals issued from those estimators is empirically studied. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

自由曲面逆向工程中的区域性再设计方法

针对自由曲面逆向工程的再设计，提出了区域性再设计方法。此方法的思想是通过调整1个控制点，使得一定区域内的多个控制点按照某种规律随之变化，从而可以实现曲面再设计的要求。基于此思想，给出了区域性再设计方法的理论推导，并进行了实例仿真验证。     

对地预标定射击原理

以往的对地射击原理一般只针对固定目标、粗略地修正风引起的误差,瞄准精度不高。有鉴于此,目前出现了一种新的对地射击原理,通过用瞄准标志先后两次与运动目标重合,完成目标预标定和瞄准,引入目标的综合速度修正,从而提高了瞄准精度。建立了数学模型,推导出了原理公式,并给出了仿真实例,最后分析了此原理的特点。     

探月飞行器定点返回轨迹特性分析

对探月飞行器返回到预期着陆点的轨迹特性进行了研究,着重分析了月球定点返回着陆点和再入点位置的变化规律.分析了返回轨迹特征点的相对位置特性,包括月球反垂点、再入点、近地点,得到了再入点速度、纬度具有变化较稳定的规律.在特征点位置特性研究的基础上,给出了着陆点和再入点位置分析近似方法;基于月相原理研究了着陆点光照条件和月球...