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关键词： 集输管道   风险   评价   定量分析   数学分析   决策   方法  

摘要： 文章采用不确定层次分析法确定油气管道风险因素的评分权重。首先采用不确定判断矩阵确定风险因素的评分权重区间。然后根据群判断的相似性和差异性计算出专家可信度作为专家的评分权重,根据专家的评判水平对相应的评分权重进行修正。同时,综合考虑风险因素的主观评分权重和客观评分权重,以计算出各风险因素的最终评分权重。最后,通过工程实例分析证明该方法具有较大的灵活性和适应性,与客观实际更加吻合,是对传统层次分析方法的进一步完善。

关键词： 数学分析   几何直观   方法  

摘要： 直观是抽象思维问题的信息源,又是途径信息源,它不仅为抽象思维提供信息,而且由于直观形象在认知结构中鲜明性强,可以多思路、反复地给抽象思维以技巧。几何直观图形的使用,可以帮助学生发现并理解数学结论,掌握数学发现的方法,有利于培养学生的观察能力和分析能力。

关键词： 多媒体会议系统   视频会议系统   摄像跟踪   远程视频会议   会议日程   会议时间安排   非线性编辑系统   等离子电视   配置   RGB   中央控制系统   会议视频系统   音响系统   控制室   矩阵   数学分析   音箱   扬声器箱   电源控制器  

摘要： 目前随着企事业单位生产向着规模化、集团化经营方向发展,越来越多的企事业单位都在建设自己的多媒体会议系统,它不仅可以节约会议成本,提高工效,主要的还在于可以利用现代科学手段使企事业单位的经营管理思想能够快捷、准确地在公司所辖范围内得以迅速贯彻实施,同时也使会议资料的归档、编辑、保存及查阅等方面变得现代化,从而大大提升企业的形象.

关键词： 隐函数定理   证明   《泛函分析》   《微分几何》   数学分析   连续函数   学习效果   课程   不动点   算子  

摘要： 隐函数定理不仅是数学分析中的一个重要定理，而且对一些后继课程如《泛函分析》、《微分几何》等的学习也很有帮助。文献[1]中给出了隐函数定理的形式，并用连续函数的性质给出了证明。实际上，在学习了泛函分析后，也可用求算子不动点的方法来证明隐函数定理，本文将给出这一证明，旨在表明学习各门课程时要注意不同课程间的联系，学会融会贯通，以期达到良好的学习效果。

ISBN: (纸本)7801698991

ISBN: (纸本)7560936601

ISBN: (纸本)7801698983

关键词： ASYMPTOTIC-BEHAVIOR   SYSTEMS   AGGREGATION   EMERGENCE   EQUATIONS   GROWTH  

摘要： This paper deals with the mathematical analysis of a model of urban dynamics, which was proposed by Miyata and Yamaguchi in the context of a region of Japan. The model is a complex system of first-order nonlinear ordinary differential equations. The study undertaken by Miyata and Yamaguchi is essentially computational, while an extensive study of the asymptotic behavior of the solutions is performed in this paper related to a detailed analysis of the qualitative properties of the system.

关键词： HIV infection   CD4(+) T cells   dynamical systems   stability analysis  

摘要： A mathematical model that describes HIV infection of CD4(+) T cells is analyzed. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number R-0 <= 1, the HIV infection is cleared from the T-cell population;if R-0 > 1, the HIV infection persists. For an open set of parameter values, the chronic-infection equilibrium P* can be unstable and periodic solutions may exist. We establish parameter regions for which P* is globally stable. (c) 2006 Elsevier Inc. All rights reserved.

关键词： circadian clocks   gene expression   feedback loops   oscillations   mathematical models   flexibility  

摘要： In this paper, we present the mathematical details underlying both an approach to the flexibility of regulatory networks and an analytical characterization of evolutionary goals of circadian clock networks. A fundamental problem in cellular regulation is to understand the relation between the form of regulatory networks and their function. Circadian clocks present a particularly interesting instance of this. Recent work has shown that they have complex structures involving multiple interconnected feedback loops with both positive and negative feedback. We address the question of why they have such a complex structure and argue that it is to provide the flexibility necessary to simultaneously attain multiple key properties of circadian clocks such as robust entrainment and temperature compensation. To do this we address two fundamental problems: (A) to understand the relationships between the key evolutionary aims of the clock and (B) to ascertain how flexible the clock's structure is. To address the first problem we use infinitesimal response curves (IRCs), a tool that we believe will be of general utility in the analysis of regulatory networks. To understand the second problem we introduce the flexibility dimension d, show how to calculate it and then use it to analyse a range of models. We believe our results will generalize to a broad range of regulatory networks. (C) 2005 Elsevier Ltd. All rights reserved.