1、1. 美国 数学建模竞赛概况 2. 竞赛论文剖析3. 一些建议主讲 : 龚劬美国数学建模竞赛概况 1 美国大学生数学建模竞赛（ MCM） 始于 1985年 学生三人一组在四天之内合作完成一个实际问题 参赛者来自美国、中国、加拿大、德国、英国以及印尼等国家或地区 我国于 1989年起组织大学生参加 MCM 我校从 1994年开始组织学生参加 MCM 2006年我校共有 8个队参赛， 3个队获一等奖、 2个队获二等奖和 3个队获三等奖。2 部分 MCM/ICM题目 指纹唯一吗？（ 2004A) 飓风来临时的疏散问题（ 2001B） 信息技术安全问题（ 2004C) 核磁共振切片成像 (1998A)
2、 伽玛刀治疗计划 (2003B) 机场安全检查 (2003C) 特技表演 (2003A) 公园快速通道系统（ 2004B) 风与喷泉 (2002A) 过路收费站 (2005B) 灌木蜥蜴问题 (2002C)3 评阅 Judging will be completed by March 31, 2008. The solutions will be recognized as Successful Participant,Honorable Mention, Meritorious, or Outstanding Winner. You have about 43% chance of bein
3、g ranked higher than Successful Participant The first(triage) roundEach paper is skimmed by two or three judges,who spend between 5 and 10 minuts each reading the paper. If you survive the triage round, you have about an 80% chance of being ranked higher than Successful Participant.4 Outstanding Win
4、ner INFORMS winnerThe Institute for Operations Research and the Management Sciences (INFORMS) will designate an Outstanding team from each of the three problems as an INFORMS winner SIAM winnerThe Society for Industrial and Applied Mathematics (SIAM) will designate one Outstanding team from each pro
5、blem as a SIAM winner. MAA winner The Mathematical Association of America (MAA) will designate one Outstanding team from each problem for the MCM as a MAA winner. 竞赛 论文剖析1 Summary (The most important part of the paper ) provide a brief overview of the problem describe clearly the approach taken to m
6、odeling the problem state the most important results and conclusions. mention any recommendations directly relevant to the problem. If you did anything creative, it must be here. 竞赛 论文剖析1 Summary 特色和创新之处必须在这里强调 （稍夸张地）。 长度： 理想长度很难说，必须包括上述要点，但简洁也非常重要。一般掌握在半页至 2/3页左右。 是文章最重要的部分。 要保证 准确、简明、条理清晰， 突出特色和创新
7、点。注：评阅时将首先根据摘要和论文整体结构及概貌对论文优劣进行初步筛选。 A good example of a clear,concise and thorough summary (2004A)Fingerprint identification depends on the assumption that a persons fingerprints are unique. We assess the truth of this assumption by calculating the total number of distinct fingerprints.We assume ac
8、curate fingerprints (ignoring procedural error) are defined by 12 points of detail or minutiae.The number of distinct fingerprints depends also on the number of potential positions of these minutiae. Two historical methods and a geometric analysis estimate there to be 1,400 positions, a figure confi
9、rmed by our algorithm for counting ridges in a fingerprint.We create two models to estimate the number of unique fingerprints: One model computes fingerprints as arrangements in minutiae; the other extrapolates the number of fingerprints from theShannon entropy of the information that defines a fing
10、erprint. A good example of a clear,concise and thorough summary (2004A)These two models agree to within an order of magnitude that there are 51033 unique fingerprints, a compelling validation of our general approach.To handle the large number of fingerprints, we implement an approximation for the ca
11、lculation of probabilities. Given a cumulative world population of 120 billion, the probability of two people ever having the same fingerprint is 1.4 10-6. The probability of two humans living today sharing a fingerprint is 3.5 10-15 , which suggests that fingerprints are a theoretically more reliab
12、le method of identification than DNA analysis, which has a false positive probability of 10-9. None of these calculations take into account procedural errors. 竞赛 论文剖析2 Introduction 重述问题， 用自己的语言陈述你将要做的工作 根据自己的理解，用自己的语言清楚简明地阐述问题的背景、条件和要求。Example 1：The possibility of duplicate fingerprints,or fingerpri
13、nts likely to be mistaken for each other, has led to recent criticism of fingerprints as a means of identification. The key problem is:How many distinct fingerprints are there?We approach this problem with two general methods: “building” a fingerprint from the ground up, using different models; and using the information content of a fingerprint到 2004A.doc
