讨论扰动方程稳定性的Liapunov函数法

本文提出了一种新的Liapunov函数法讨论时变时滞系统的稳定性问题,我们得到了简洁的稳定性判据。本文的第二部分讨论扰动迭代系统的稳定扰动界限。     

A unified convergence theory of a numerical method,and applications to the replenishment policies

In determining the replenishment policy for an inventory system, some researchers advocated that the iterative method of Newton could be applied to the derivative of the total cost function in order to get the optimal solution. But this approach requires calculation of the second derivative of the function. Avoiding this complex computation we use another iterative method presented by the second author. One of the goals of this paper is to present a unified convergence theory of this method. Then we give a numerical example to show the application of our theory.     

Wind-induced internal pressure fluctuations of structure with single windward opening

INTRODUCTION The wind loads of the exterior-protected con-struction of buildings are decided based on the pres-sure difference between the external and internalpressure. The failures of low-rise building roof andwall in high wind events are caused by a combinationof large internal and external force acting in the samedirection. A large opening in the building envelope,caused by the failure of a door or window may gen-erate large internal pressures in strong wind condi-tions, and therefore …     

UML建模过程中获取用例的增量迭代方法

统一建模语言UML是面向对象建模领域中通用的标准语言，用例作为UML的主要技术之一，不仅是获取需求的重要手段，而且可以驱动整个开发过程。本文以教务管理系统中教材管理子系统开发经验为实例，介绍一种简单直观的增量迭代方法，用以在需求分析阶段捕获初始的系统用例，同时帮助开发人员之问更好地沟通。     

全局最短路径计算和图的连通性及拓扑排序在邻接矩阵的方法

全有全无的邻接矩阵法是进行最短路径计算的一种方法。矩阵迭代可以用来计算带权有向图的最短路径,迭代可以及时调整适应性,利用改进算法可以直接由D2r计算出D2r+1,最多只需骔logn-1」次。拓扑排序用于找出图中的环路,减少瓶颈。连通性用于找到图中无关节点,减少计算量。介绍了环路检测算法,无向图中一个点和其余所有点的连通性判定,更新后的最短路径计算。     

运用几何画板动态演示无限逼近思想的探讨

利用几何画板的迭代功能,动态演示数学的无限逼近的过程,搭建形象思维到抽象思维的桥梁,促进形象思维向抽象思维转化．     

算法策略比较

基本的算法策略有迭代法、蛮力法、分治法、贪婪法、动态规划等。以整数因子分解为例,试图比较各种算法的优劣,并提出每种算法适合的问题类型。     

A unified convergence theory of a numerical method,and applications to the replenishment policies

INTRODUCTIONInthispaperwewilldiscusssomeproblemsoninventoryreplenishmentpoliciesfordeteriorat ingitemswithshortagesinadecliningmarket.Replenishmentpoliciesofdeterioratingcommodi tieshavebeenaninterestingresearchtopicinin ventorymanagementsinthepast,anditwillre mainlikelythesameinthefuture.SinceGhareandSchrader (1963 )publishedthefirstpaperconsideringdeteriorationofinventory,manypa perspresentedvariousmodelswithdifferentas sumptionsonpatternsofdeteriorationwithorwithoutshortages.Allofthem…