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A set of questions in mathematical modeling (with answers or excellent papers)
Examination questions of the fourth mathematical modeling competition of Southwest University of Science and Technology

Question A: Badge problem

At the 1994 international conference on "machine learning and computational learning theory", all the 280 delegates who attended the conference got the badges marked with "+"or "-"from the conference organizer (see the attached table for the list of participants and the badges obtained). Organizers of the conference said that each delegate's badge "+"or "-"is only related to his name, and hoped that delegates could find out the classification method of badges "+"and "-".

1. Please ask the delegates attending the meeting to find out the classification method of badges;

2. Analyze your classification methods, such as the reasons for classification, the accuracy and error rate of classification, etc.

3. Due to objective reasons, 14 representatives (see attached table) were unable to attend the meeting. According to your method, what kind of badges will they get when they attend the meeting?

Schedule 1: list of participants and badges obtained.

+Naoki Abe-milian abramson+David W Aha

+Kamal Ali-Eric Ahlander+Dana Anlun

-chida NAND Apte+Minoru Asada+Lars Asker

+javed Aslam+Haarala Bos Athanase Wu+Jose Balcazar

+Timothy Barber+Michael Barry-Cristina Barolio

+Peter bartlett-Eric Baum+Wellton Beckett

Prasad Tedpari

+Hiroshi Tanaka-Irina Chumachenko-Brian Tester

+ Darko Zupanic

Schedule 2: List of people who did not attend the meeting.

Merrick Foest Jean Gabriel Ghanassia William Gassart

Ricard Gavalda Melinda t . Gervasio Yolanda Gil

David Gilman Attilio Giordana Kate Goelz

Supplement to the question: (3) Design of parking lot.

In a small town in New England, there is a parking lot with an area of 65,438+000,200 square feet in the corner. The owner asked you to design the parking space for him, that is, to design a plan for marking the site.

It is easy to understand that if the cars are arranged side by side at right angles to the parking line, the parking lot can accommodate the largest number of cars, but it is difficult for inexperienced drivers to park their cars like this, which may lead to expensive insurance costs. In order to reduce the possibility of accidental losses caused by parking, car owners may have to hire some skilled drivers to park specially; On the other hand, if there is enough turning radius from the passage to the parking space, it seems that most drivers can park in place at one time without any difficulty. Of course, the wider the passage, the fewer vehicles the venue will accommodate, which will reduce the income of car owners.