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MCM/ICM数学建模竞赛 第3卷
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商品名称:MCM/ICM数学建模竞赛 第3卷
物料号 :49121-00
重量:0.000千克
ISBN:9787040491210
出版社:高等教育出版社
出版年月:2018-02
作者:Jay Belanger等
定价:59.00
页码:253
装帧:平装
版次:1
字数:310
开本:16开
套装书:否

本系列丛书是以美国大学生数学建模竞赛(MCM/ICM)赛题为主要研究对象,结合竞赛特等奖的优秀论文,对相关的问题进行解析与研究。本书共包括8章,第1章以简短的篇幅介绍了如何写出一篇优秀的论文,第2—7章分别为2016年MCM/ICM竞赛6个题目的分析、点评与解答:热水澡(A Hot Bath)、太空垃圾(Space Junk)、教育基金的挑战(The Goodgrant Challenge)、衡量社会信息网络的演变和影响(Measuring the Evolution and Influence in Society's Information Networks)、我们正走向一个干旱的星球吗?(Are we heading towards a thirsty planet?)以及难民移民政策建模(Modeling Refugee Immigration Policies)。第8章为对数学建模问题的拓展与应用,通过数学建模研究当前的研究热点问题,本辑讨论的问题是如何处理大数据流缺失的数据。 本书实用性强,可供参加美国大学生数学建模竞赛的读者参考使用。读者既可以了解掌握各种建模方法,也可以培养用英文进行写作与思考。

前辅文
1 Writing for Winning
  Jie Wang
  1.1 Paper Evaluations
  1.2 Tell A Good Story
  1.3 Tell the Story Well
  1.4 Sensitivity Analysis Is a Must
  1.5 Write Well
  Exercises
  References
2 A Hot Bath
  Jay Belanger
  2.1 Problem Description
  2.2 Outstanding Winners
  2.3 Previous Work
   2.3.1 Classic formulas
   2.3.2 Bathtub measurements
   2.3.3 Previous work on water cooling
  2.4 Approaching the Problem
  2.5 Models
   2.5.1 Assumptions and justifications
   2.5.2 Functions and parameters
   2.5.3 Determining the heat loss
   2.5.4 Preserving heat
   2.5.5 Heat dispersal
   2.5.6 Answering the main question
   2.5.7 Other questions
   2.5.8 Results
  2.6 Sensitivity Analysis
  2.7 Strengths and Weaknesses
   2.7.1 Strengths
   2.7.2 Weaknesses
  2.8 Comments
  Exercises
  References
3 Space Junk
  Jay Belanger
  3.1 Problem Description
  3.2 Outstanding Winners
  3.3 Previous Work
   3.3.1 Kessler's work
   3.3.2 Debris removal methods
   3.3.3 Political obstacles
   3.3.4 Business opportunities
  3.4 Approaching the Problem
  3.5 A Continuous Approach
   3.5.1 How to approach the problem
   3.5.2 Assumptions and justifications
   3.5.3 Modeling details
   3.5.4 Results
  3.6 A Probabilistic Approach
   3.6.1 How to approach the problem
   3.6.2 Assumptions and justifications
   3.6.3 Modeling details
   3.6.4 Results
  3.7 Sensitivity Analysis
  3.8 Strengths and Weaknesses
   3.8.1 Strengths
   3.8.2 Weaknesses
  3.9 Comments
  Exercises
  References
4 The Goodgrant Challenge
  Robert E. Burks, Rodney X. Sturdivant
  4.1 Problem Description
  4.2 Outstanding Winners
  4.3 Previous Work
   4.3.1 Bill and Melinda Gates Foundation
   4.3.2 Lumina Foundation
   4.3.3 Principal component analysis
   4.3.4 Analytic hierarchy process
  4.4 Modeling Approach
   4.4.1 Thinking about the problem
   4.4.2 Assumptions
   4.4.3 Data analytics
   4.4.4 Selecting metrics of success
   4.4.5 Return on investment
  4.5 Modeling Approach
  4.6 Sensitivity Analysis
  4.7 Strengths and Weaknesses
   4.7.1 Strengths
   4.7.2 Weaknesses
  4.8 Comments
  Exercises
  References
5 Measuring the Evolution and Influence in Society's Information Networks
  Jessica Libertini, Ralucca Gera
  5.1 Problem Description
  5.2 Outstanding Winners
  5.3 Approaching the Problem
  5.4 Diffusion Networks
   5.4.1 Basic assumptions and justification
   5.4.2 Defining ``news''
   5.4.3 Previous work
   5.4.4 Results
   5.4.5 Exploring the future of communication
   5.4.6 Sensitivity analysis
   5.4.7 Conclusions, strengths, weaknesses, and future work
  5.5 Modeling Communication Using Disease Models
   5.5.1 The information circulation network
   5.5.2 The news filter model
   5.5.3 Testing and using the NF model
   5.5.4 The information circulation network prediction model
   5.5.5 The public interest and information network interaction model
   5.5.6 Sensitivity analysis
   5.5.7 Strengths and weaknesses
  5.6 Comments
  Exercises
  References
6 Are We Heading Towards A Thirsty Planet?
  Amanda Beecher, Amy Richmond
  6.1 Problem Description
  6.2 Outstanding Winners
  6.3 Previous Work
  6.4 A Three-pronged Interdisciplinary Modeling Approach
   6.4.1 Approach to the problem
   6.4.2 Case study: the water problem in Haiti
   6.4.3 Assumptions and justifications
   6.4.4 System-network model
   6.4.5 Algorithmic model
   6.4.6 Agent-based network model
   6.4.7 Intervention plan
   6.4.8 Sensitivity analysis
   6.4.9 Strengths and weaknesses
  6.5 A Flow Model based on Time-Constrained Water Use
   6.5.1 Model development
   6.5.2 Case study: water scarcity in Egypt
   6.5.3 Model adaption
   6.5.4 Results
   6.5.5 Intervention
  6.6 Comments
  Exercises
  References
7 Modeling Refugee Immigration Policies
  Evelyn Panangkou, Yulia Tyshchuck, Christian Nattiel, Don Stanley Dalisay, Kate Coronges
  7.1 Current Refugee Problems
  7.2 Problem Description
  7.3 Outstanding Winners
  7.4 How to Approach the Problem
  7.5 Empirical Policy Research
  7.6 Identify Parameters and Develop Metrics
  7.7 Modeling Approaches to Policy Problem
   7.7.1 Assumptions
   7.7.2 Static modeling approach
   7.7.3 Dynamical modeling approaches
  7.8 Sensitivity Analysis
   7.8.1 Scalability
   7.8.2 Robustness
   7.8.3 Uncertainty
  7.9 Policy Recommendations
  7.10 Strengths and Weaknesses
  7.11 Judges' Comments by Task
  Exercises
  References
8 Complex Event and Pattern Models in Sequence Data Processing
  Tingjian Ge, Yan Li, Cindy Chen
  8.1 Introduction and Problem Description
   8.1.1 Windowed subsequence matching
   8.1.2 Extended regular expressions
   8.1.3 Event patterns with graph structure
  8.2 Formal Definition of Pattern Models
   8.2.1 Windowed subsequence
   8.2.2 Extended regular expressions
   8.2.3 Event pattern with graph structure
  8.3 Error Models
  8.4 Matching Algorithms
   8.4.1 Algorithms for windowed subsequence matching
   8.4.2 Algorithms for extended regular expression matching
   8.4.3 Algorithms for event pattern with graph structure
  Exercises
  References
Index

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