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关键词： 高师   数学分析   教学   策略  

摘要： 数学分析是高等师范院校最重要的一门基础课程。通过分析学生数学分析课程的学习现状,提出了提高教学效果的四点策略。

关键词： 数学分析   入门教学   入门学习  

摘要： 本文通过分析影响大学新生在数学分析课程入门学习中的因素,从教学角度上探讨了如何使学生更好更快地适应大学数学分析课程的学习,并对此给出了几点教学上的建议。

关键词： 美式期权   垄断期权   期权定价   自由边界  

摘要： 介绍了美式垄断期权这一金融产品的数学模型.它的定价问题是一个退化的抛物型变分不等式,也是一个自由边界(即最佳实施边界)问题.该文主要运用微分方程方法分析讨论,并与美式标准期权及美式交叉期权进行对比,得到以下应用结果:美式垄断期权并不是美式标准看涨和看跌期权的简单叠加.其价格比敲定价格相同的美式交叉期权便宜,但比以低价为敲定价格的美式看跌期权和以高价为敲定价格的美式看涨期权都要贵.其自由边界介于美式标准期权与美式交叉期权的自由边界之间.

关键词： Fault location   Aircraft engines   equivalent impedance   mathematical analysis   HARMONIC FREQUENCIES   test signal   line current   aircraft maintenance   Characteristic impedance   Short circuits   dispensing system  

摘要： The proposals for the 'More Electric Aircraft' place a significant, increased demand on the electrical power distribution system. To increase safety and reduce aircraft maintenance times on the ground, there is a greater need to quickly identify and locate electrical faults within the electrical distribution system. The work presented in this study provides the mathematical basis for the use of power system harmonic impedance measurement for identifying and locating faults within power cables. The method is passive - that is, it does not require the injection of any test signals - and can potentially be embedded into a centralised equipment controller to provide intelligent, real time diagnostics. The method monitors the harmonic line-line self-impedance at strategic points in the distribution system;this is obtained by measuring load voltage and current. Faults can be identified and located within a few fundamental cycles, and therefore provides a 'backup protection' system which does not require measurement of the line current. It also can provide details of the fault location and could therefore be a significant aid to aircraft maintenance. This study derives the theoretical basis of the scheme and provides simulation results for a proposed aircraft power system to demonstrate the validity of this approach to detect and locate faults within the system.

关键词： Impulsive diffusion   Stroboscopic map   Monotone concave map   Extinction   Permanence   Global attractivity  

摘要： In most models of population dynamics, diffusion between two patches is assumed to be either continuous or discrete, but in reality, many species diffuse only during a single period, and diffusion often occurs in regular pulses. Further, in forest habitats, the highest-level predator species are restricted to a specific territory, but prey can impulsively move between territories. Therefore, in this paper, we consider a delayed stage-structured predator-prey model with impulsively diffusive prey between two patches;in the model, patches represent the territories of two different predator populations. Here, we analytically obtain the global attractivity condition of predator-extinction periodic solutions for the system by using the concepts of Hui and Chen (2005);a numerical simulation is also included to illustrate this result. Further, we establish permanence conditions for the coexistence of the species using the theory of impulsive delayed differential equations. Finally, we explore the possibilities of the permanence of the system by using the growth rates of immature predators and the impulse period as critical parameters, and we also obtain the parameters' threshold limits using numerical experimentation. (C) 2012 Elsevier B.V. All rights reserved.

关键词： 数学分析   高等学校   题解  

ISBN: (纸本)9787533170691

摘要： 本书主要内容包括：分析引论；一元函数微分学；不定积分；定积分；级数；多元函数微分学；带参数的积分；多重积分和曲线积分。

关键词： 数学分析   高等学校   教材  

ISBN: (数字)9787305122262 ISBN: (纸本)9787305122262

摘要： 许绍溥编著的《数学分析教程》第一版在南京大学数学系连续使用了近二十年。《数学分析教程》第二版我们对全书作了详细修订。全书概念准确，论证严谨，文字浅显易懂，便于自学。丰富多彩的例题与多层次的习题大大加强了传统的分析技巧的训练，同时又注意适当引进近代分析的概念。本书可作为综合性大学、师范院校数学系各专业的教材，也可作为其他对数学要求较高的专业的教材或教学参考书，还可作为高等学校数学教师以及其他数学工作者参考用书以及研究生入学考试的复习用书。全书分上下两册出版。上册共9章，包括极限理论、一元函数微积分、多元函数及其微分学。下册共10章，包括级数理论、傅里叶级数、反常积分与含参变量积分、线积分、面积分与重积分、囿变函数与RS积分、场论等。

关键词： Y染色体   数学分析   基因遗传   人类性   形态   示意图   结构  

摘要： 1人类性染色体的形态和结构概述 以前有多种关于表示人类X、Y性染色体形态和结构的示意图，实际上直到2005年才基本搞清楚这个问题。如图1所示，在形态上，Y染色体很小，只有x全长的1／3左右，并且两染色体的末端存在极短的同源区段，仅纣占Y染色体全长的5％。

关键词： 最大公约数   数学   初等数学   数学分析  

摘要： 计算2013＋13，2013^2＋13，2013^3＋13，……的最大公约数。

关键词： mobile hotspot   Markov chain   Markov modulated Poisson process   call admission control   Quasi-Birth and Death process   handoff call dropping probability   guard channel scheme  

摘要： A mobile hotspot is a moving vehicle that hosts an Access Point (AP) such as train, bus and subway where users in these vehicles connect to external cellular network through AP to access their internet services. To meet Quality of Service (QoS) requirements, typically throughput and/or delay, a Call Admission Control (CAC) is needed to restrict the number of users accepted by the AP. In this paper, we analyze a modified guard channel scheme as CAC for mobile hotspot as follows: During a mobile hotspot is in the stop-state, we adopt a guard channel scheme where the optimal number of resource units is reserved for vertical handoff users from cellular network to WLAN. During a mobile hotspot is in the move-state, there are no handoff calls and so no resources for handoff calls are reserved in order to maximize the utility of the WLAN capacity. We model call's arrival and departure processes by Markov Modulated Poisson Process (MMPP) and then we model our CAC by 2-dimensional continuous time Markov chain (CTMC) for single traffic and 3-dimensional CTMC for two types of traffic. We solve steady-state probabilities by the Quasi-Birth and Death (QBD) method and we get various performance measures such as the new call blocking probabilities, the handoff call dropping probabilities and the channel utilizations. We compare our CAC with the conventional guard channel scheme which the number of guard resources is fixed all the time regardless of states of the mobile hotspot. Finally, we find the optimal threshold value on the amount of resources to be reserved for the handoff call subject to a strict constraint on the handoff call dropping probability.