二阶线性常微分方程可积的一个充分必要条件

本文论证二阶线性常微分方程d2y/dx2+p(x)dy/dx+q(x)y=0可积的充分必要条件是它可化成常系数二阶线性微分方程.     

智慧岛

第12期有奖竞答题目1.有两艘舰艇的编号分别是121的x倍和yx,而x和y是下列方程:2x4-5x2y2-25x2+45y3+63=0的正整数解。试问:这两艘舰艇的可能编号是什么?     

智慧岛

第11期有奖竞答题目1.某国一海域舰艇支队收到他们一艘水面侦察艇报告,一艘不明国籍的潜器在特别坐标系中点(x,y,z)附近活动,x,y,z是下列方程的实数解。试解该方程确定x,y和z的具体数值。方程为: x2+y2-2xz+2x+20y-42z=299。2.一艘海上巡逻舰定期对A、B、C、D、E、F、G、H、I和J共10     

系统=h(y) =-f(x)h(y)-g(x)的极限环的唯一性

<正>本文应用文[1]的方法给出一个系统 x=h(y) y=-f(x)h(y)—g(x)的极限环唯一性定理,并对h(y)=e~a l~y-e_(a_2_y)h(y)＝e~(ay)Sina_(2)y h(y)=—ye~(ay)的情形给出了唯一性条件,所得结果包含了著名的张芷芬定理[2]为特例:     

关于OPIAL不等式的推广

<正> 假设y(x)在[0,a]上绝对连续,且y(0)=0,则integral from n=0 to a(|y(x)·y′(x)|dx)≤a/2 integral from n=0 to a(|y′(x)|~2dx) (1)当且仅当y′(x)=b(常数)时,等号成立 (1)式叫Opial不等式 华罗庚把(1)式进行了推广,得到     

一类非线性微分方程极限环的不存在性

利用Filippov变换,研究了方程组x*=φ(y)-F(x),y=h*(x,y)-g(x)在奇点唯一的情况下不存在极限环的充分条件.     

函数方程f(x+y)=f(x)+f(y)的解

本文给出了函数方程f(x+y)=f(x)+f(y)的一般解;并给出了若干解为f(x)=cx的充要条件。     

反函数的导数定理的一个注记

给出反函数的导数定理的改进形式:若f(x),x∈(a,b)与φ(y),y(A,B)互为反函数,x0∈(a,b),y0=f(x0),φ(y)在点y0处可导且φ′(y)≠0,f(x)在点x0处连续,则f(x)在点x0处可导,且f′(x0)=1/φ′(y0).并说明,f(x)在点x0处连续这一条件不可去掉。     

一类两种群竞争离散系统的持久性

讨论了密度制约的两种群竞争离散系统{x（n＋1）=x（n）exp｜r1-a1x（n）-b1y（n）｜ y（n＋1）=y9n）exp｜r2-a2x（n）-b2y（n）｜的初值解的有界性及系统的持久性。通过适当构造解的最终有界区域,证明了当b1/b2〈r1/r2/〈a1/a2时,系统是强持续生存的。这里ri,ai,bi（i=1,2）均为正的常数。     

利用二次函数图象展示物理问题情景

二次函数y=ax2 bx c,当a＞0时,图象开口向上,顶点坐标为(-b/2a,4ac-b2/4a),如图1所示,表明:y随着x增大,先减小后增大;当a＜0时,图象开口向下,顶点坐标为(-b/2a,4ac-b2/4a)如图2所示,表明:y随x的增加,先增大后减小     

Aiming to Break Will: America's World War II Bombing of German Morale and its Ramifications

This article examines the implications of the proliferation of cyberwarfare capabilities for the character and frequency of war. Consideration of strategic logic, perceptions, and bargaining dynamics finds that the size of the effect of the proliferation of cyberwarfare capabilities on the frequency of war will probably be relatively small. This effect will not be constant across all situations; in some cases the advent of cyberwarfare capabilities may decrease the likelihood of war. On the other hand, the use of computer network attack as a brute force weapon will probably become increasingly frequent.     

Traffickers,terrorists, and a ‘new security challenge’: Russian counternarcotics strategy and the Federal Service for the Control of the Drugs Trade

The collapse of the Soviet Union precipitated the massive expansion of drug use and trade in Russia. The country now has one of the largest populations of injecting drug users in the world and has become the largest single-country market for Afghan heroin. In 2003 the Federal Service for the Control of the Drugs Trade was created to coordinate a comprehensive counternarcotics strategy appropriate to the scale of this threat. The service continues to face a number of challenges in its early stages of development. However, it has made considerable advances in improving responses to large-scale organised crime and in building international cooperation.     

新型远程火箭炮战斗损伤的仿真

为满足新型远程火箭炮战时技术保障仿真研究和战损规律研究需要,分析了该型火箭炮可能受到的威胁,建立了弹药破片场模型和该型火箭炮的几何描述模型,对该型火箭炮的战斗损伤进行了仿真,通过仿真可以得出某该型火箭炮的具体损伤程度及损伤概率.     

多边修正算法中的换顶原理及复杂性分析

对于无向赋权图,利用换顶过程中矩阵翻转与数据块调换时上三角部分数据的变化规律,对权值矩阵的数据进行处理,以完成无向完全图中H圈（H路类似）的修正过程。事实上,多边修正的原理最终是通过变换顶点达到的,而其主要用到的换顶规则是矩阵数据的块调换与翻转,该思想还可以推广到有向图的情形。最后利用换顶原理对多边修正算法进行了复杂性分析,讨论修正边数对复杂性的影响。     

Helping hands: civil–military cooperation and Italy's military operation abroad

In the Post-Bipolar Era the growing complexity of the military operations requires a new approach for the resolution of international crises. Since the end of the Cold War, peace support operations (PSO) have become the mainstay and principal occupation of most Western armies. At the same time, Italy has been one of the most important actors in such an area. The article focuses on the cooperation between military and civil components (a process called CIMIC) as a key variable in the Italian PSOs. We will analyse in detail the main lessons learned from past military interventions as well as the general context in which new tendencies are taking place. The maintaining of a minimum security frame becomes essential to fulfil activities ‘collateral’ to the mission: reconstructing services and infrastructure, food distribution, water and medication, law and order, de-mining, training of local forces, and supporting local institutions. These are the main tasks to obtain thrust and support from the population.     

用 MATLAB 软件对柴油机带水力测功器系统进行 PID 控制器的设计

运用当前国际上最流行的ＭＡＴＬＡＢ软件及ＳＩＭＵＬＩＮＫ软件包,对８－３００柴油机带水力测功器系统进行了ＰＩＤ控制器的设计及仿真,并分析了仿真结果,最后得出了对实现该系统控制有重要价值的ＰＩＤ控制器．     

武器跟踪随动系统视景仿真(英文)

武器跟踪随动仿真系统是一个能够对武器跟瞄进行演示验证的虚拟现实系统,对虚拟军事训练的研究和探索,有着极其重要的意义。提出了一种简易的跟踪随动算法,可以对武器跟瞄运动目标进行有效的模拟;并建立VegaPrime与OpenGL混合编程机制解决了在场景中的画图问题,实现了对瞄准镜十字刻线的绘制;通过实验,实现了在计算机系统中一定范围的全天候自然实景的模拟。开发和应用结果表明,该方法具有可行性,仿真产生的图像与实际成像较为接近,并能大幅度减少训练成本。上述研究对于武器瞄准训练以及目标识别等具有一定的工程意义。     

欲去明日 问道昨天——走出中国式建筑的困境

中国式建筑的困境在于附加意识形态性的起源和前因后果的关系倒置.近现代建筑进入中国后,曾经保持着与世界的同步发展,直至20世纪50年代初.中国式建筑是伴随着中西古今之争而产生的命题,建筑被赋予了意识形态的内容.在全球化背景下,重新认识中国式建筑产生和发展的局限性,其实质在于混淆了现代化与西方化之区别,将现代化等同于西方化...     

Effect of change of sand properties on travel distance of ricocheted debris

The debris from exploded buildings can ricochet after colliding with the ground, thus increasing the debris travel distance and danger from any associated impacts or collisions. To reduce this danger, the travel distance of ricocheted debris must be accurately predicted. This study analyzed the change in the travel distance of ricocheted concrete debris relative to changes in the properties of a sand medium. Direct shear tests were conducted to measure the change in internal friction angle as a function of temperature and water content of the sand. Finite element analysis (FEA) was then applied to these variables to predict the speed and angle of the debris after ricochet. The FEA results were compared with results of low-speed ricochet experiments, which employed variable temperature and water content. The travel distance of the debris was calculated using MATLAB, via trajectory equations considering the drag coefficient. As the internal friction angle decreased, the shear stress decreased, leading to deeper penetration of the debris into the sand. As the loss of kinetic energy increased, the velocity and travel distance of the ricocheted debris decreased. Changes in the ricochet velocity and travel distance of the debris, according to changes in the internal friction angle, indicated that the debris was affected by the environment.     

A best practice for assessment in counterinsurgency

In September 2011, the Commander of the International Security Assistance Force (ISAF) in Afghanistan directed the Afghan Assessment Group to redesign the way in which ISAF was assessing the status of the war, and to be ‘revolutionary’ in so doing. The resulting assessment paradigm was novel, non-doctrinal, and effectively addressed the unique complexities of the counterinsurgency in Afghanistan and the needs of the ISAF Commander. It had a two-tier structure consisting of both strategic and campaign assessments. The former focused on answering a set of strategic questions in narrative, analytic form to address the strategic environment, while the latter used a set of standards and accompanying narrative responses to gauge accomplishment of campaign tasks. Both tiers captured the current state of the war while maintaining an eye on future challenges and opportunities. The two assessments and their associated processes were designed to stimulate discussions leading directly to decisions by senior leaders on actions they could take, direct, or request. While any assessment paradigm will have advantages and disadvantages, an examination of the pros and cons of this assessment paradigm makes clear that it should be considered a ‘best practice’ in the field of counterinsurgency assessment.