搜索型随机格斗命中次数的分布与毁伤概率

本文研究了搜索型随机格斗模型，采用在时间[0，t]内射击命中目标次数的概率分布与毁伤概率指标来评定射击效果。文章对射击时间间隔随机变量服从的分布采用两种假设t指数分布与一般分布．对指数分布的假设，文章导出的结果比较完善；对一般分布的假设，文章导出了计算射击命中次数概率分布的计算公式。     

线导+尾流自导鱼雷的有效射击可行域

基于线导+尾流自导鱼雷的弹道特点和末端尾流进入角的使用限制,选用Runge-Kutta方法,得出线导+尾流自导鱼雷在不同尾流进入角和不同射距时的弹道轨迹,进而分析并解算出线导+尾流自导鱼雷有效射击可行域.方法对自导鱼雷有效射击可行域解算方法进行了较大改进,能更好地满足线导+尾流自导鱼雷作战使用时射击阵位点选择需求.     

“先下手为强”

林江和郑宁都是钟山射击队新队员,射击水平不相上下.为有助于竞技能力的提高,他俩在完成正常训练科目外,设计了一个竞赛项目.他们商定,双方对同一目标轮流射击,一方失利,另一方可以继续射击,直到有人命中目标为止.命中的一方为该轮比赛的获胜者. 经过多轮赛事后,他们发现在每一轮以赛中,凡是先发第一枪者,往往有较多的获胜机会,于是从中悟出了“先下手为强”这一尽人皆知的普通规律对于轮流射击比赛也是适用的.他们在与其它运动队的接触中还了解到在乒乓球、棋类等对抗性比赛中也有类似情况.那么究竟为什么“先下手”者有较多的获胜机会?再…     

效用信息熵在射击目标选择数学模型中的应用初探

针对装甲兵射击目标选择的特点,建立射击目标选择的数学模型,结合层次分析法,运用效用信息熵理论,通过实例不仅给出了射击目标的合理排序,还得到了影响射击目标选择的主、次要因素,可为装甲兵作战指挥自动化系统辅助决策提供一种新的方法.     

炮兵测距计算的简易公式

毛主席教导我们:“战争的基本原则是保存自己消灭敌人”.在近代战争里,炮兵射击很讲究“首发命中”,为此,既快又准地算出我方炮位与目标的距离非常重要. 我们到××部队学军,炮连一位同志提出一个测距计算问题.战争时,炮兵在战场上测量,往往要求在现场立即由测量数据推算出所要的结果.因此,计算工作需在野外而不是在房间进行、需要快速而不可丝毫怠慢.过去,如果要求结果很准确,就必须化费较多     

多元Beta分布特性分析

利用小样本截尾序贯检验理论,在武器系统对空中目标的命中精度检验问题中,遇到了一类多元Beta概率分布函数,讨论分析了多维Beta概率分布函数的特性并给出了概率计算表.结果对武器精度检验具有重要意义和实用价值.     

争鸣

问　题　　 问题 9　 新教材增加了概率一章 ,提出以下问题 :1 )新教材第二册 (下Ａ)第 1 4 4页 1 8题 :某家庭电话在家中有人时 ,打进的电话响第一声时被接的概率为 0 .1 ,响第二声时被接的概率为 0 .3,响第三声时被接的概率为0 .4 ,响第四声时被接的概率为 0 .1 ,那么电话在响前四声内被接的概率是多少 ?教参给的解答是 :0 .1 + 0 .3+ 0 .4 + 0 .1=0 .9.2 )猎人在距离 1 0 0米处射击一野兔 ,其命中概率为 0 .5,如果第一次没命中 ,则猎人进行第二次射击 ,但距离变为 1 50米 ,其命中概率为 0 .3,如果又没命中还可进行第三次射击 ,但距离变为…     

含温度载荷的管板变形的解析解

根据换热器结构形式建立了用于计算管板变形的力学模型,参考ASMEⅧ-1计算管板的有效弹性常数,并将外筒和换热管束分别等效为会因温度和压力载荷产生轴向变形的弹簧和弹性基础.应用Ritz法建立了管板挠度的解析解,将该解析解与三个不同规模换热器的有限元分析结果进行对比.结果表明,建立的解析解与有限元分析结果吻合良好,验证了推导的管板变形解析解的正确性.研究结果对固定管板式换热器的设计有较大的指导意义.     

沿任意直线方向逃逸的鱼雷击舰问题

研究了战舰沿任意直线方向逃逸时的鱼雷击舰问题,通过坐标旋转变换求解了鱼雷的运动轨迹方程的解析解.     

软件测试力系统要素及属性的模型研究

在深入研究测试过程及工程实践的基础上,提出了软件测试力概念,构建了基于多要素及属性的测试力系统结构模型.以此为依据,通过对测试力系统构成要素进行定量化解析,分析各要素对系统贡献度的大小,计算出系统要素间的关联度指标,确立了影响测试效力的核心因素,为进一步研究软件测试力系统高效的运行机理和测试领域科学的发展机制提供了依据.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

正~~     

Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].