多因素影响下毁伤目标时间的分布与特征

文章研究搜索型随机格斗中，在射弹飞行时间、携弹数量有限因素影响下如何导出毁伤目标时间的分布与特征的问题，推导出在这些因素共同影响下，毁伤时间密度函数与特征函数的表达式。     

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本文研究毁伤目标离散时间的概率分布和PH表示.在射击时间间隔服从离散PH分布的条件下,本文导出了不考虑发现目标因素和考虑该因素二种情况下,毁伤目标时间的离散PH表示与分布.同时,文章用实例说明了求毁伤目标离散时间的PH表示、概率分布和毁伤目标平均离散时间的方法.     

毁伤目标时间与格斗持续时间的PH表示与特性

本文研究毁伤目标所需时间与格斗持续时间的概率分布．在射击时间间隔服从PH分布的假设下,文章导出了不考虑发现目标因素和考虑该因素二种情况下,毁伤目标时间的PH表示与特性及格斗持续时间的PH表示．最后,文章用二个实例给出了毁伤目标时间概率分布的具体求法．     

命中次数随机时毁伤时间分布与格斗获胜概率的研究

文章研究了一对一随机格斗中一类最具有一般性的模型——格斗双方带有搜索系统并且毁伤对方所需命中次数随机的格斗模型 .文章从研究条件随机过程入手 ,导出了格斗方毁伤对方所需时间的分布与相应的特征函数表达形式 ,也求出了计算获胜概率的公式     

基于仿真数据的相控阵天线毁伤小子样试验鉴定方法

针对反辐射战斗部预制破片对相控阵天线目标毁伤试验鉴定方面存在的困难,围绕小样本条件下合理利用仿真数据实现破片毁伤效能试验鉴定展开方法的研究.先利用试验室条件获取少量试验数据,再根据试验条件利用数值仿真方法获取大量的试验数据.通过试验数据和仿真数据的融合,采用基于相容性概率的可信度近似求法判断数据的可信度.最后在Bayes小子样统计推断基本原理的基础上,采用融入可信度后的Bayes估计方法对试验数据做出较为精确的评估.     

仪器设备安放姿态对二级碎片毁伤指标的影响

借助碎片云粒子对靶板的毁伤程度与粒子的速度成正比,与靶板的厚度成反比的理论和实验结果,提出一种用于评价航天器内部电子仪器设备遭受二次碎片粒子撞击毁伤程度的毁伤指标.针对六面体外壳的仪器设备,提出两种在航天器内部的安放姿态.通过计算这两种姿态毁伤指标的最大值,并与两个面与航天器速度垂直的安放姿态毁伤指标的最大值进行了比较,得到了当碎片粒子速度不超过航天器速度2倍时两种安放姿态毁伤指标至少分别降低9.76%和14.09%的结论.采用这两种安放姿态,既不改变仪器设备的设计,也不增加重量和体积,就能达到增强仪器设备防护性能的目的,对提高航天器在碎片环境中的生存能力具有重要意义.     

打击时敏目标对火力反应时间需求的探索性分析

依据现代炮兵火力突击中“命中即毁伤”的趋势,从首群（发）命中概率出发,以探索性分析方法为工具,论证打击时敏目标对火力反应时间的需求。主要结论是：随着己方首群（发）命中概率和对方预警概率的变化,火力反应时间具有“有限可调”、“逐渐稳定”和“边际效用递减”之特点;在战斗初始时刻时敏目标处于驻止或机动状态时,火力反应时间的需求范围分别是30s～90s和15s～60s。     

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。     

印军地基(海基)导弹攻击能力模型分析

印度4月19日成功试射"烈火-5"远程导弹,印度跨入"洲际导弹俱乐部".针对印度高技术地基(海基)导弹武器装备大量装备部队,对印度地基(海基)导弹突防概率、对地毁伤作用、攻击能力—突击某一目标所需导弹数量、攻击强度等方面做了模型分析,以对我军有针对性地开展研究提供一定的参考意义.     

基于遗传算法的武警捕歼战斗兵力优化指派建模与仿真

为进一步提高武警捕歼战斗用兵的精确性和科学性,针对武警捕歼战斗任务实际,考虑作战中队的行军距离、毁伤能力等多个因素,基于多目标规划建立了武警捕歼战斗兵力指派模型.借鉴遗传算法理论提出了两种改进算法,实验仿真结果表明,两种算法都能有效解决武警捕歼战斗的兵力指派问题,研究结果对武警捕歼战斗兵力指派具有一定现实意义.     

Kolmogorov向前向后方程组的概率意义

研究了Kolmogorov向前向后方程组的概率意义,得到正规链满足Kolmogorov向前向后方程组的等价条件,并进一步得到不诚实但全稳定的转移函数对应的带“杀死”的Markov链满足Kolmogorov向前向后方程组的充分必要条件.     

计算毁伤概率的二项展开优化法

对着发射击高射武器系统毁伤概率的计算公式提出了一种新算法 ,称为二项展开优化法 .它是在原有的常用算法二项展开法基础上改进得到的 .新算法保留了二项展开法实施容易、计算快的特点 ,又在一定程度上克服了原算法由于计算组合数 Ck N而带来的计算机计算过程中的舍入误差 .最后 ,文章又用实例比较了几种算法在计算毁伤概率值的精度与差异 .     

Simple loop conjecture for limit groups

There are noninjective maps from surface groups to limit groups that don’t kill any simple closed curves. As a corollary, there are noninjective all-loxodromic representations of surface groups to SL(2, ?) that don’t kill any simple closed curves, answering a question of Minsky. There are also examples, for any k, of noninjective all-loxodromic representations of surface groups killing no curves with self-intersection number at most k.     

Quantifying Transversality by Measuring the Robustness of Intersections

By definition, transverse intersections are stable under infinitesimal perturbations. Using persistent homology, we extend this notion to a measure. Given a space of perturbations, we assign to each homology class of the intersection its robustness, the magnitude of a perturbation in this space necessary to kill it, and then we prove that the robustness is stable. Among the applications of this result is a stable notion of robustness for fixed points of continuous mappings and a statement of stability for contours of smooth mappings.     

A study on two extensions of the Bogoyavlenskii-Schieff equation

In this work, two extensions of the Bogoyavlenskii-Schieff equation are examined. N-soliton solutions are formally determined for each extended equation. We show that the extension terms do not kill the integrability of the typical Bogoyavlenskii-Schieff equation. The simplified Hirota’s method established by Hereman and Nuseir is applied to achieve this goal.     

具有捕食者相互残杀项时滞系统的Hopf分支

研究了具有捕食者相互残杀项的时滞系统的Hopf分支,通过选择时滞作为一个分支参数,研究了正平衡点的稳定性和正周期解的Hopf分支.而且通过应用规范型和中心流形的理论,得出了确定分支方向的明确的算法.     

Bicriterion differential games with qualitative outcomes

Combat games are studied as bicriterion differential games with qualitative outcomes determined by threshold values on the criterion functions. Survival and capture strategies of the players are defined using the notion of security levels. Closest approach survival strategies (CASS) and minimum risk capture strategies (MRCS) are important strategies for the players identified as solutions to four optimization problems involving security levels. These are used, in combination with the preference orderings of the qualitative outcomes by the players, to delineate the win regions and the secured draw and mutual kill regions for the players. It is shown that the secured draw regions and the secured mutual kill regions for the two players are not necessarily the same. Simple illustrative examples are given.This paper is based partially on research supported by the Council of Scientific and Industrial Research, India, through a Research Associateship Grant to the second author.     

Receptor-mediated endocytosis modeling of antibody-drug conjugates to the released payload within the intracellular space considering target antigen expression levels

An antibody-drug conjugate (ADC) is one of the effective treatment modalities designed as a targeted therapy for treating tumors. Certain ADCs such as brentuximab vedotin are known to kill negative tumor cells indirectly via membrane permeability and bystander-killing effect and to kill positive tumor cells directly. In this study, we propose a mathematical model to describe the ADC-receptor endocytosis mechanism and to predict payloads over a time profile more accurately, while considering target antigen-positive (Ag+)/negative (Ag--) cells. We discuss how the target-antigen expression levels derived using a ratio of Ag+ to Ag-- cells determine the payload release in the intracellular space. The model is aimed at capturing the amount of the payloads based on the target expression levels with the total number of cells fixed. The results indicate that (i) the profile of the total payloads over a time within the intracellular space is less influenced by the target expression levels after a time period, but the slope at the growth phase in which the payload increases is determined by the target expression levels, (ii) the change in the area under the curve of the total intracellularly released payload with a change in the ratio of Ag+ to Ag-- cells is more significant due to the initial ADC injection, (iii) the fluctuations in the released payloads within the Ag+ cells increase as the target expression levels decrease, unlike in the case of Ag-- cells or extracellular space. In addition, the time $t_{max}$ that corresponds to the maximum payload concentration $C_{max}$ is shifted towards the right as the target-antigen levels decrease, and it is strengthened by an increase in the initial free ADCs. The proposed model may reduce the discrepancy between the experiment and the model in the prediction of payloads over time profile.     

On the Boundary Theory of Subordinate Killed Lévy Processes

Potential Analysis - Let Z be a subordinate Brownian motion in $\mathbb {R}^{d}$ , d ≥ 2, via a subordinator with Laplace exponent ?. We kill the process Z upon exiting a bounded open...