利用数形结合方法求解几类代数问题

数学研究的对象是现实世界的数量关系(数)和空间形式(形)。“数”和“形”常按照一定的条件相互转化。数形结合思想是数学的重要的思想方法之一,并蕴于数学基础知识和基本技能之中,在数学解题中应用十分广泛。其实质是将抽象的数学语言与直观图形结合起来,发挥“数”与“形”两种信息的转化及其优势互补与整合,使逻辑思维与形象思维完美统一起来。对于培养学生的创新意识和创造思维具有积极的促进作用。     

舰艇协同作战导弹防御模型研究

舰艇协同作战是未来战争的主要作战形式,导弹防御是其主要的作战职责.运用信息论的方法对舰艇协同作战中敌方导弹发射策略的不确定性进行建模,运用可靠性理论对协作效果进行建模,并引进知识的概念作为其度量,同时用边的函数对网络复杂性进行建模,综合这两种因素在以最大化防御时间为总的决策目标,以己方导弹储备和敌方来袭速率为决策因素对导弹防御作出辅助决策.     

A stochastic model for burn‐in procedures in accelerated environment

Burn‐in procedure is a manufacturing technique that is intended to eliminate early failures of system or product. Burning‐in a component or system means to subject it to a period of use prior to being used in field. Generally, burn‐in is considered expensive and so the length of burn‐in is typically limited. Thus, burn‐in is most often accomplished in an accelerated environment in order to shorten the burn‐in process. A new failure rate model for an accelerated burn‐in procedure, which incorporates the accelerated ageing process induced by the accelerated environmental stress, is proposed. Under a more general assumption on the shape of failure rate function of products, which includes the traditional bathtub‐shaped failure rate function as a special case, upper bounds for optimal burn‐in time will be derived. A numerical example will also be given for illustration. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

集合线对对数周期偶极子天线的影响

主要研究了对数周期偶极子天线.基于Pocklington积分方程和全域基函数,采用矩量法结合网络理论建立了天线算法模型;使用该模型计算了在天线阵和集合线共同作用下天线的辐射方向图,得出了集合线在不同频段上对天线辐射性能的影响,并通过截短延长线长度改善了天线低频段的辐射特性,增强了天线轴向方向性.     

整环上不定方程组的通解公式及其应用

借助Z上矩阵A∈Mm×n(Z)的标准形式D=VAU=diag(d1,d2,…,dq,0,…,0),得到了整环上不定方程组AX=B的通解公式以及矩阵初等变换法.     

虚拟样机技术在特种斜盘发动机中的应用研究

利用ADAMS软件中的参数化分析工具,采用设计变量和局部模型重建的方法,实现了特种斜盘发动机斜盘倾角、后球心分布圆半径和导槽形式的参数化,建立了特种斜盘发动机参数化虚拟样机,并进而从设计研究、试验研究和初步优化分析等三个方面,对特种斜盘发动机进行了较为详细和全面的参数化分析.     

面向决策的一体化建模方法及其在兵力筹划中的应用

在对军事决策问题的主要特点进行分析的基础上,提出从军事概念模型到数学模型再到定性推理模型的一体化建模思想.以空军航空兵遂行直接航空火力支援任务为想定背景,根据EATI模板,利用基于UML的Rose工具依次对想定任务的实体、任务、交互等进行分析;对于兵力筹划中的结构化问题建立了机会约束多目标规划数学模型;对于非结构化问题则构造了推理机,推理机体现了定量与定性相结合的决策分析思想.最后,以一个实例验证文章思路的可行性.     

On the normality and abnormality of offsets obligations

Defence offsets have often been described as government‐to‐business compensation arrangements or contracts involving “reciprocity beyond that associated with normal market exchange”. This paper argues that it is irrelevant and misleading to use this notion as a criterion for defining offsets.

The paper also explores the apparent inconsistency between the maximising efficiency in defence procurement and the application of offsets requirements. It is shown that defence offsets are a subset of all the price‐quality‐quantity trade‐offs which in general characterise negotiations surrounding complex transactions.

It is argued that although reciprocal or offsetting arrangements are a normal aspect of commercial transacting, the operation of certain offsets schemes namely mandatory offsets obligations, may inhibit the buyer's flexibility in negotiating deals and result in inefficient procurement. This leads us to ask why these offsets schemes have persisted for so long.     

NEGOTIATING NONPROLIFERATION: Scholarship,Pedagogy, and Nuclear Weapons Policy

In nuclear nonproliferation negotiations, many governments pursue multiple objectives, and changes in policy can occur rapidly—and often unexpectedly. For these reasons, understanding nonproliferation requires empathy and imagination rather than just historical fact. This article considers one teaching tool to encourage such insight—simulations—and demonstrates how teaching and scholarship can interact to improve our understanding of the complex decisions and negotiations involved in nuclear nonproliferation. The article consists of five parts: first, it explains the benefits of simulations as both a policy development tool in Washington and as a teaching tool in universities; second, it describes the pedagogical strategy of the Stanford University simulation program; third, it shows how the simulations have identified and highlighted theoretical and substantive insights that are often neglected in scholarly studies of nonproliferation; and fourth, it describes how students are tested to enhance the learning experience from the simulation. Fifth and finally, the article provides concluding observations about how using simulations in the classroom can help scholars develop insights that improve their understanding of real-world nuclear negotiation dynamics and outcomes.     

INTEGRATING NUCLEAR WEAPONS STOCKPILE MANAGEMENT AND NUCLEAR ARMS CONTROL OBJECTIVES TO ENABLE SIGNIFICANT STOCKPILE REDUCTIONS

In his 2009 Prague speech and the 2010 Nuclear Posture Review, President Barack Obama committed the United States to take concrete steps toward nuclear disarmament while maintaining a safe, secure, and effective nuclear deterrent. There is an inherent tension between these two goals that is best addressed through improved integration of nuclear weapons objectives with nuclear arms control objectives. This article reviews historical examples of the interaction between the two sets of objectives, develops a framework for analyzing opportunities for future integration, and suggests specific ideas that could benefit the nuclear weapons enterprise as it undergoes transformation and that could make the future enterprise compatible with a variety of arms control futures.