带紧扰动的集值(S)_+型映射的拓扑度及其应用

本文利用 Michael 连续选择定理与 F.E Browder 次连续(S)_+型映射度理论相结合的方法,构造了带紧扰动的1.s.c.集值(S)_+型映射的拓扑度,并讨论了作为其应用的不动点与值域问题.     

模拟电路子网络级故障诊断的新方法

针对目前模拟电路子网络级故障诊断方法普遍存在的问题,提出了一种新的诊断方法,阐述了该方法的诊断原理,给出了可诊断性条件,通过仿真例子,证明了该方法具有测试量少,方法简单,实时性好,适用于非线性电路等特点     

稳健的数字IIR滤波器设计

利用级联型模拟椭圆滤波器设计方法、双线性模拟—数字滤波器变换方法和数字滤波器频带变换方法,设计了一种简便、稳健的级联型数字IIR滤波器。通过设定合理的频带变换参数,保证了该滤波器的稳定性;通过采用经验最优零、极点组织零、极点配对方法,可使该滤波器内部幅度限最小。最后给出了一个级联型数字椭圆带阻滤波器的设计实例。     

Exact algorithms and bounds for the dynamic assignment interdiction problem

We study a multi‐stage dynamic assignment interdiction (DAI) game in which two agents, a user and an attacker, compete in the underlying bipartite assignment graph. The user wishes to assign a set of tasks at the minimum cost, and the attacker seeks to interdict a subset of arcs to maximize the user's objective. The user assigns exactly one task per stage, and the assignment costs and interdiction impacts vary across stages. Before any stage commences in the game, the attacker can interdict arcs subject to a cardinality constraint. An interdicted arc can still be used by the user, but at an increased assignment cost. The goal is to find an optimal sequence of assignments, coupled with the attacker's optimal interdiction strategy. We prove that this problem is strongly NP‐hard, even when the attacker can interdict only one arc. We propose an exact exponential‐state dynamic‐programming algorithm for this problem as well as lower and upper bounds on the optimal objective function value. Our bounds are based on classical interdiction and robust optimization models, and on variations of the DAI game. We examine the efficiency of our algorithms and the quality of our bounds on a set of randomly generated instances. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 373–387, 2017     

影响汉语国际化的内在因素

汉语作为一种古老的语言,越来越受到各国人民的普遍关注,外国人学习汉语的热情空前高涨。随着我国综合国力的不断增强,国际地位的不断提高,与世界各国在政治、经济、科技文化等方面的广泛交流与合作,迫切要求汉语冲出国门,走向世界。但汉语作为表意文字,难写、难认、难记、难学。给现代信息文化的传播与交流,尤其是计算机输入与应用带来难以想像的困难。另一方面,大陆使用的简化字与港、澳、台使用的繁体字在国际上的并用,也给汉字的使用造成混乱,因此,汉语要走向世界,必须规范、统一、简化。     

自旋结网圈表象中体积算符对5价顶角的作用

根据已有文献给出的W矩阵元的一般公式,利用重耦理论深入研究了5价顶角,得出了相应的W(5)矩阵元的可直接计算的精确公式.     

浅谈汉维语数词用法与文化背景

汉维语数字作为各自语言文字的一部分,其主要功能是计数,表实指,是数概念在语言系统中的反映。但在文学作品和日常生活中,由于汉、维两种语言表达习惯上的差异很大,各有其独特的称数方式,而且使用方法也各不相同,因此给人们的理解和使用带来一定的困难,本文主要从汉、维语数词方面的差别入手,对汉、维语数词进行对比性探讨,并对汉、维语数词的差别做了归纳。     

中国剩余定理探析

“中国剩余定理”是中国传统数学中关于一次同余式理论的一项杰出成就,它源于中国数学典籍《孙子算经》中的“物不知数”问题,秦九韶在《数书九章》(1247)中将这一问题发展为求解一次同余式组的一般方法,称为“大衍总数术”。西方人直到1801年才由高斯明确写出这一定理,随后西方著作就把一次同余式组的这一解法称为“中国剩余定理”。     

统编版初中语文名著导读的教学现状及策略探究

名著导读是语文教材中的一个重要板块,是中学师生不得不面对的教学环节,在名著导读教学实践中,教师如何引导、学生怎样阅读的问题一直备受研究者关注,关于名著导读教学的研究著作颇丰。笔者通过问卷调查法,对S市某中学的名著导读教学现状进行分析,进一步探讨名著导读教学中存在的问题,并在此基础上对名著导读教学提出相应的策略。进而使教师导之有效,学生读而有得,使名著导读教学不仅引起师生的重视,更能在教学中得到落实。     

Planning gamma accelerated degradation tests with two accelerating variables

Gamma accelerated degradation tests (ADT) are widely used to assess timely lifetime information of highly reliable products with degradation paths that follow a gamma process. In the existing literature, there is interest in addressing the problem of deciding how to conduct an efficient, ADT that includes determinations of higher stress‐testing levels and their corresponding sample‐size allocations. The existing results mainly focused on the case of a single accelerating variable. However, this may not be practical when the quality characteristics of the product have slow degradation rates. To overcome this difficulty, we propose an analytical approach to address this decision‐making problem using the case of two accelerating variables. Specifically, based on the criterion of minimizing the asymptotic variance of the estimated q quantile of lifetime distribution of the product, we analytically show that the optimal stress levels and sample‐size allocations can be simultaneously obtained via a general equivalence theorem. In addition, we use a practical example to illustrate the proposed procedure.