数学建模社区-数学中国

标题: 2010年美赛题目！ [打印本页]

作者: madio 时间: 2010-2-19 09:04
标题: 2010年美赛题目！
IMPORTANT CHANGE TO CONTEST RULES FOR MCM/ICM 2010:

Teams (Student or Advisor) are now required to submit an electronic copy of their solution ** by email to solutions@comap.com. Your email MUST be received at COMAP by the submission deadline of 8:00 PM EST, February 22, 2010.
COMAP Mirror Site: For more in:
http://www.comap.com/undergraduate/contests/mcm/ MCM: The Mathematical Contest in Modeling
ICM: The Interdisciplinary Contest in Modeling 2010 Contest Problems MCM PROBLEMS
PROBLEM A: The Sweet Spot

Explain the “sweet spot” on a baseball bat.

Every hitter knows that there is a spot on the fat part of a baseball bat where maximum power is transferred to the ball when hit. Why isn’t this spot at the end of the bat? A ** explanation based on torque might seem to identify the end of the bat as the sweet spot, but this is known to be empirically incorrect. Develop a model that helps explain this empirical finding.

Some players believe that “corking” a bat (hollowing out a cylinder in the head of the bat and filling it with cork or rubber, then replacing a wood cap) enhances the “sweet spot” effect. Augment your model to confirm or deny this effect. Does this explain why Major League Baseball prohibits “corking”?

Does the material out of which the bat is constructed matter? That is, does this model predict different behavior for wood (usually ash) or metal (usually aluminum) bats? Is this why Major League Baseball prohibits metal bats?

PROBLEM B: Criminology
In 1981 Peter Sutcliffe was convicted of thirteen murders and subjecting a number of other people to vicious attacks. One of the methods used to narrow the search for Mr. Sutcliffe was to find a “center of mass” of the locations of the attacks. In the end, the suspect happened to live in the same town predicted by this technique. Since that time, a number of more sophisticated techniques have been developed to determine the “geographical profile” of a suspected serial criminal based on the locations of the crimes.

Your team has been asked by a local police agency to develop a method to aid in their investigations of serial criminals. The approach that you develop should make use of at least two different schemes to generate a geographical profile. You should develop a technique to combine the results of the different schemes and generate a useful prediction for law enforcement officers. The prediction should provide some kind of estimate or guidance about possible locations of the next crime based on the time and locations of the past crime scenes. If you make use of any other evidence in your estimate, you must provide specific details about how you incorporate the extra information. Your method should also provide some kind of estimate about how reliable the estimate will be in a given situation, including appropriate warnings.

In addition to the required one-page summary, your report should include an additional two-page executive summary. The executive summary should provide a broad overview of the potential issues. It should provide an overview of your approach and describe situations when it is an appropriate tool and situations in which it is not an appropriate tool. The executive summary will be read by a chief of police and should include technical details appropriate to the intended audience.

ICM PROBLEM

PROBLEM C: The Great Pacific Ocean Garbage Patch

Click the title below to download a PDF of the 2010 ICM Problem.

The Great Pacific Ocean Garbage Patch

作者: 张萧凡 时间: 2010-2-19 09:07
非常感谢！！！！！！！！！！！！！

作者: chromao 时间: 2010-2-19 09:08
什么时候翻译能出来呢。。。。。。。。。。。。？

作者: yazhou71021 时间: 2010-2-19 09:08
谢谢。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。

作者: tyc1989711 时间: 2010-2-19 09:09
大家都要加油。。。。。。。。。。

作者: scumcm 时间: 2010-2-19 09:09
谢谢楼主！！！！！！！！！！！！！！！！！！

作者: vickyqu 时间: 2010-2-19 09:10
什么时候翻译能出来呢。。。。。。。。。。。。？

作者: ray123 时间: 2010-2-19 09:12
多谢！！！！！！！！！！！！！！

作者: sara1989 时间: 2010-2-19 09:12
thankyouverymu ch~~~~~~~~~~~~~~~~~~

作者: scumcm 时间: 2010-2-19 09:13
词汇太专业必须要有人翻译哈！！！！！！！！！！！！！！！

作者: james0325 时间: 2010-2-19 09:13
ding ....................................................

作者: zhujiang 时间: 2010-2-19 09:14
谢谢。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。

作者: tyoukou 时间: 2010-2-19 09:14
thanks!!!!!!!!!!!!!!!!!!!!!!!!!!!!

作者: 1gulong1 时间: 2010-2-19 09:19
加油啊！！！！！！！！！！！！！！！！！！！！！

作者: ljiangbig 时间: 2010-2-19 09:20
多谢！！！！！！！！！！！！！！

作者: arron0615 时间: 2010-2-19 09:21
非常感谢楼主提供的题目~
官网都上不去。。。

作者: a200710920 时间: 2010-2-19 09:23
词汇太专业必须要有人翻译哈！！！！！！！！！！！！！！！

作者: 漠然119 时间: 2010-2-19 09:23
翻译啊，什么时候才有得看啊…………

作者: xiaomeizi 时间: 2010-2-19 09:25
谢谢~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

作者: 天若怒雷 时间: 2010-2-19 09:26
多谢了，呵呵。。。。。。。。。。。。。。。。。。

作者: 傻仔文 时间: 2010-2-19 09:30
good good~！！！！！！！！！！！！！！！！！！！！！！！1

作者: ourforest 时间: 2010-2-19 09:30
什么时候翻译能出来呢。。。。。。。。。。。。？

作者: wihiti 时间: 2010-2-19 09:31
翻译啊翻译~~等得好苦啊~~啦啦啦啦啦啦

作者: max008 时间: 2010-2-19 09:32
大家都要加油。。。。。。。。。。。。。。。。。。。。。

作者: JasonYoung 时间: 2010-2-19 09:32
A题完全看迷茫了……找个喜欢看棒球的人解释解释？

作者: pigsybeard 时间: 2010-2-19 09:34
谢谢~~！！！！！！！！！！！！！！

作者: yemingruxin312 时间: 2010-2-19 09:37
加加油赶紧翻译出来啊~业余的不行啊

作者: linzh 时间: 2010-2-19 09:39
谢谢谢谢谢谢谢谢谢谢谢谢谢谢谢谢谢谢谢谢

作者: btytyzh 时间: 2010-2-19 09:40
翻译啊翻译~快点出来啊~~~~~~~~！！！！！！！！！！！

作者: 2006070309 时间: 2010-2-19 09:40
回复 1# madio

有中文的吗

作者: zhao9171 时间: 2010-2-19 09:48
！！！！！！！！！！！！！！！

作者: zaxqm 时间: 2010-2-19 09:53
强悍，谢谢--------------------------------------------------------------

作者: zbbgu 时间: 2010-2-19 10:19
b题翻译在哪啊。。。。。。。。。。。。。。。。。。。。。。。。。。。。。

作者: zbbgu 时间: 2010-2-19 10:20
b题翻译在哪啊。。。。。。。。。。。。。。。。。。。。。。。。。。。。。

作者: zzr 时间: 2010-2-19 10:55
中文翻译。。。。。。。。。。。。。。。。。。。

作者: james0325 时间: 2010-2-19 10:56
什么时候翻译啊。。。。。。。。。。。。。。。。。。。。。。。。。。。

作者: helen_i 时间: 2010-2-19 11:04
回复 1# madio

顶

作者: karljpjp 时间: 2010-2-19 11:11
Thanks,多谢分享～～～～～～～～

作者: karljpjp 时间: 2010-2-19 11:18
Thanks,多谢分享～～～～～～～～

作者: jingtan3346 时间: 2010-2-19 12:02
谢了！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！

作者: jingtan3346 时间: 2010-2-19 12:03
谢了！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！！

作者: toredu87 时间: 2010-2-19 20:36
今年题目挺有趣的，呵呵。不过估计国内大多数还是做B题，毕竟，我国人对棒球不太熟悉（虽然个人感觉A更简单）。B题的话，模型的建立方式远比解的方式重要——关键是你用哪种观念建立起得的模型，对于“犯罪”位置如何确定？个人感觉还应该加个“犯罪度”，用于定义某一个定坐标犯罪的严重性，就好比“权重”。

作者: selmma1 时间: 2011-1-21 11:29
好有难度的感觉

作者: 湖泊的话 时间: 2011-1-27 17:21
中文翻译。。。。。。。。。。。。。。。。。。。

作者: liujunvictory00 时间: 2011-2-6 00:34