 2021年美赛竞赛规则、报名和参赛指南全文翻译（数学中国独家、最全的美赛获奖必读规则）.pdf
 MCM-ICM_Summary.docx
MCM-ICM_Summary.tex
2021年美赛竞赛规则、报名和指南中文版本 Translated by 数学中国翻译组
由于美赛竞赛规则部分长度较长、内容也极为详细，参赛选手在阅读上往往存在一定难度。数学中国的专业翻译人员将本部分完全翻译出来并做了重点标注，同时保留英文对照版，帮助参赛者能够更好地了解美赛的参赛规则细节，取得优秀的比赛成绩。
MCM: The Mathematical Contest in Modeling
ICM: The Interdisciplinary Contest in Modeling 美国大学生数学建模竞赛 / 跨学科建模竞赛 MCM®/ICM® Contest Rules, Registration and Instructions 竞赛规则、报名和指南 February 4-8, 2021 2021年2月4日-8日（美国东部时间） (All rules and instructions apply to both ICM and MCM contests.) （所有规则和指南对于ICM和MCM比赛都适用） RECENT CHANGES TO THE MCM/ICM RULES ARE HIGHLIGHTED IN RED 对于MCM/ICM的最近的规则改变已被高亮标红。 COMAP'S Mathematical Contest in Modeling (MCM®) /Interdisciplinary Contest in Modeling (ICM®) is an international contestdesigned to provide undergraduate students with the opportunity to work as teammembers to engage in and improve their modeling, problem solving, and writingskills. Teams apply mathematics to model, develop, and communicate a solutionto a real-world problem. COMAP的数学建模竞赛（MCM®）/跨学科建模竞赛（ICM®）是一项国际竞赛，旨在为本科生提供作为团队成员参与并提高建立模型、求解模型和写作技能的机会。团队应用数学来建模、创建和讨论现实世界问题的解决方案。 MCM/ICM: Procedures and Tips for a Great Experience
The purpose of this article is to assist and guide studentsand advisors participating in The Mathematical Contest inModeling (MCM) and The InterdisciplinaryContest in Modeling (ICM). In the article, COMAP providesinformation about the administration of the contests from registration throughsolution submission, as well as tips to ensure your contest experience issmooth, successful, and enjoyable. MCM/ICM：获得良好体验的步骤和技巧
本文旨在帮助和指导学生和导师参加数学建模竞赛（MCM）和跨学科建模竞赛（ICM）。在本文中，COMAP提供了从注册到提交解决方案的竞赛规则信息，以及确保您的竞赛体验顺利、成功和愉快的建议。 2021 Contest Datesand Times:
- Registration Deadline: Before 3:00 p.m. EST on Thursday, February 4, 2021.
- Contest Starts: 5:00 p.m. EST on Thursday, February 4, 2021.
- Contest Ends: 8:00 p.m. EST on Monday, February 8, 2021.
- Solution Report Deadline: 9:00 p.m. EST on Monday, February 8, 2021.
- Contest Results: The results will be posted on or before April 30, 2021.
2021年比赛的日期和时间： •报名截止时间：美国东部时间2021年2月4日星期四下午3:00之前，北京时间2021年2月5日星期五凌晨4:00之前。 •比赛开始时间：美国东部时间2021年2月4日星期四下午5:00，北京时间2021年2月5日星期五上午6:00。 •比赛结束：美国东部时间2021年2月8日星期一晚上8:00，北京时间2021年2月9日星期二上午9:00。 •解决方案报告提交截止时间：美国东部时间2021年2月8日星期一晚上9:00，北京时间2021年2月9日星期二上午10:00。 •比赛结果发布时间：比赛结果将于美国东部时间2021年4月30日或之前公布。 MCM/ICM Rules,Registration, and Instructions I. Participants and Advisors
II. MCM/ICM Resource Guide
III. Changes for 2021
IV. Contest Rules
V. Contest Registration
VI. Contest Instructions
Beforethe Contest - Preparing a Team
Duringthe Contest - Choosing and Solving the Problem
Duringthe Contest - Preparing a Solution Document
Duringthe Contest - Advisor Activities
Afterthe Contest - Submitting a Solution Document
Afterthe Contest - Advisor Actions
VII. MCM/ICM Results and Recognition
VIII. MCM/ICM Awards and Prizes
IX. Judging Results and Designations MCM/ICM规则、注册和说明目录 一、参与者和指导教师 二、MCM/ICM资源指南 三、2021年的最新变化 四、竞赛规则 五、竞赛报名 六、竞赛说明 赛前准备——组建一个队伍 在竞赛期间——选择和解决问题 在竞赛期间——准备解决方案文档 在竞赛期间——指导教师的工作 赛后——提交解决方案文件 赛后——指导教师的工作 七、MCM/ICM结果与识别 八、MCM/ICM奖项 九、评阅结果及认定
Notes:
- COMAP is in the USA Eastern time zone: all times given in these instructions are in terms of Eastern Standard Time (EST) except where local time is noted.
- COMAP is the final arbiter of all rules and policies, and may refuse to register, disqualify, or reduce the award level of any team that, in its sole discretion, does not follow contest rules, regulations, or requirements.
- Decisions of the judges, the contest directors, and the editor of The UMAP Journal are final.
- Please print a copy of these contest instructions for reference before, during, and after the contest. Click here for the printer friendly version.
注： 1、COMAP位于美国东部时区：除注明当地时间外，本说明书中给出的所有时间均为东部标准时间（EST）。 2、COMAP是所有规则和政策的最终仲裁者，可拒绝团队注册、取消资格或降低任何不遵守竞赛规则、规定或要求的团队的奖励级别。 3、评委、竞赛总监和UMAP杂志编辑的决定是最终决定。 4、请在比赛前、比赛中及比赛后打印本比赛须知，以供参考。单击此处获取打印版。
I. Participants and Advisors TeamMembers: A team may consist of up to three students currently enrolled in the sameschool. Students may be enrolled in any department or program at the school.There is no limit to the number of teams a school may register. The contest isopen to all undergraduate and high school students. An advisor must completethe registration process for each team. TeamAdvisors: Any faculty, staff member, or student at the team’s institution canfulfill the role of Advisor. The advisor will act as the main point of contactfor the team, and does not have to be from the mathematics department. Weencourage faculty members to serve as team advisors; however, one team memberor another student at the school may act as the advisor. 一、参与者和指导教师 团队成员：一个团队最多可由三名目前就读于同一所学校的学生组成。学生可以注册在学校的任何部门或课程。一所学校可以注册的参赛队数量没有限制。比赛对所有的本科生和中学生开放。指导教师必须为每个团队完成注册过程。 团队指导教师：团队机构的任何教员、职员或学生都可以担任指导教师。指导教师将作为团队的主要联系人，不必来自数学系。我们鼓励教师担任团队指导教师；但是，一名团队成员或学校的某一名学生也可以担任指导教师。
II. MCM/ICM ResourceGuide MCM-ICM: Procedures and Tips fora Great Experience
Thepurpose of this article is to assist and guide students and advisorsparticipating in The Mathematical Contest in Modeling (MCM) and TheInterdisciplinary Contest in Modeling (ICM). In the article, COMAP, providesinformation about the administration of the contests, as well as tips to ensureyour contest experience is smooth, satisfying, enjoyable, and successful. 二、MCM/ICM资源指南 MCM-ICM：获得良好体验的步骤和技巧 本文旨在帮助和指导学生和导师参加数学建模竞赛（MCM）和跨学科建模竞赛（ICM）。在这篇文章中，COMAP提供了有关比赛规则的信息，以及确保您的比赛体验能够顺利、满意、愉快和成功的建议。
III. Changes for 2021
- Follow @COMAPMath on Twitter or COMAPCHINAOFFICIAL on Weibo for the most up to date information.
- Registration process has been streamlined and split into 2 parts: Advisor Registration and Team Registration.
- The MCM/ICM Contest now have a 25 page limit. The 25 page limit applies to the entire submission including the Summary Sheet, Solution, Reference List, Table of Contents, Notes, Appendices, Code and any problem specific requirements.
- Due to the Covid-19 virus teams are encouraged to meet virtually using electronic communications. BUT, your team members may only communicate with members of their own team. The rule remains that teams may not use any persons, other than their own team members, to discuss or obtain ideas for working on and solving their problem.
三、 2021年的变化 1、关注Twitter上的@COMAPMath或微博上的comachinaofficial，获取最新信息。 2、注册流程已简化，分为两部分：指导教师注册和团队注册。 3、MCM/ICM竞赛现在有25页的限制。25页的限制适用于整个提交文件，包括摘要页、解决方案、参考文献列表、目录、注释、附录、代码和任何问题的具体要求。 3、由于Covid-19病毒疫情，参赛团队被鼓励使用电子通讯工具进行线上交流。但是，您的团队成员只能与自己团队的成员进行交流。规则仍然是，除了他们自己的团队成员以外，团队不得和任何人进行讨论或获得处理和解决问题的想法。
IV. Contest Rules
- The 2021 MCM/ICM contest period runs between 5:00 p.m. EST Thursday, February 4, 2021 and 8:00 p.m. EST on Monday, February 8, 2021.
- Each team may consist of a maximum of three undergraduate (or below) students enrolled full- or part-time at the same school/institution at the time of the contest. Teams may consist of 1, 2, or 3 students and each student may only participate on one team.
- Each team must have an advisor who is a staff member, a faculty member, or a student at the team members’ institution. Advisors can serve more than one team. Advisors must register teams prior to 3p.m. EST on Thursday, February 4, 2021.
- Teams must obtain and use the Control Number and password assigned to them at registration to participate in MCM/ICM.
- Not later than the opening of the contest window, advisors must assign team members to a particular team, and cannot add or change student assignments for the duration of the contest. Teams may, however, remove a team member, if he or she decides not to participate.
- Once the contest window opens (5:00 p.m. on Thursday, February 4, 2021), team membership must be set and teams may not use any persons, other than their own team members, to discuss or obtain ideas for working on and solving their problem. Teams may use any "inanimate" resource they find on their own such as: web pages, books, articles, research reports, databases, etc. Teams may not seek help in obtaining answers, ideas, or information, or in locating appropriate resources, from any persons outside of their team to include their advisor, other teachers, other students, and/or experts or professionals in a field relevant to the problem. This restriction includes personal or telephonic contact, as well as use of electronic social media such as, but not limited to: emails, texting, chat rooms, question-answer systems, interactive blogs, Twitter, Weibo, online help or support sites, etc. Additionally, posting or sharing any part or all of the problem statement, your team’s solution process, or any partial or complete work in any form or medium during the contest is strictly prohibited. COMAP will disqualify or deem unsuccessful any team that violates this rule. The relevant issue is one of intent: each team of students is expected to develop all of its substantive analysis and solution without the help of others.
- Teams must document any outside sources of information by using footnotes, endnotes, or in-line documentation, and include appropriate citations in a reference list or Bibliography of these sources.
- Teams choose to work on one problem (MCM: A, B, or C or ICM: D, E, or F) and submit one solution for the problem of their choice.
- The names of the students, advisor, and/or institution must not appear on any page of the solution. The solution must not contain any identifying information other than the team Control Number.
- Papers must be submitted as an Adobe PDF electronic file, and typed in English, with a readable font of at least 12-point type. Papers must be within the 25 page limit.
- Upon closing of the contest window at 8:00 p.m. EST Monday, February 8, 2021, advisors must ensure each team makes no further changes to their solution paper. Advisors must then ensure all solution documents are properly prepared and sent via email to COMAP for judging no later than 9:00 p.m. EST Monday, February 8, 2021.
- COMAP follows all accommodations relative to learning conditions for individual students used as part of the local school/institution program in an affected student's daily learning. If specialized staff is required, the school bears the responsibility for providing any specialized assistance as required by law. If such accommodations are required for a student participating, the school should detail them and the extent to which they were utilized as part of the MCM/ICM activities.
- COMAP reserves the right to disqualify or reduce the award level of teams found to have violated the contest rules.
四、竞赛规则 1、2021 MCM/ICM竞赛时间为美国东部时间2021年2月4日星期四下午5:00至2021年2月8日星期一晚上8:00。北京时间2021年2月5日星期五上午6:00至2021年2月9日星期二上午9:00。 2、每个参赛队最多可由三名本科（或以下）学生组成，这些学生在比赛时在同一所学校/机构（全日制或非全日制）注册。团队可由1名、2名或3名学生组成，每个学生只能参加一个团队。 3、每个团队必须有一名指导教师，该指导教师是团队成员机构的职员、教员或学生。指导教师可以为多个团队服务。指导教师必须在美国东部时间2021年2月4日星期四下午3点之前（北京时间2021年2月5日星期五凌晨4点之前）注册团队。 4、参赛队必须获得并使用注册时分配给他们的控制号码和密码才能参加MCM/ICM。 5、在竞赛开始之前，指导教师必须将一个团队的团队成员填写好，并且不能在竞赛期间添加或更改团队成员。但是，如果团队成员决定不参加比赛，团队可以将其删除。 6、一旦竞赛开始（美国东部时间2021年2月4日，星期四下午5:00，北京时间2021年2月5日，星期五上午6:00），必须设置团队成员资格，团队不得使用任何人（除了他们自己的团队成员）来讨论或获取解决问题的思路。团队可以使用他们自己找到的任何“无生命”资源，例如：网页、书籍、文章、研究报告、数据库等。团队不得寻求团队以外任何人的帮助，包括他们的导师、其他老师、其他学生、其他人员，以获取答案、想法或信息，或寻找适当的资源，和/或与问题相关领域的专家或专业人员。这种限制包括个人或电话联系，以及使用电子社交媒体，例如但不限于：电子邮件、短信、聊天室、问答系统、互动博客、Twitter、微博、在线帮助或支持网站等。此外，参赛队伍发布或分享问题陈述的任何部分或全部解题过程，或任何形式或媒介的部分或全部作品，均被严格禁止。COMAP将取消任何违反此规则的团队的参赛资格或将其视为不成功参赛。相关的措施出于一个目的：每个学生团队都应该在没有其他人帮助的情况下去创建所有的实质性分析和解决方案。 7、团队必须使用脚注、尾注或联机文档等方式来记录任何外部信息源，并在这些信息源的参考文献列表或参考书目中包含适当的引用。 8、团队可以选择处理其中一个问题（MCM:A、B或C或ICM:D、E或F），并为他们选择的问题提交一个解决方案。 9、学生、导师和/或机构的姓名不得出现在解决方案的任何页面上。解决方案不得包含除团队控制编号以外的任何标识信息。 10、论文必须以Adobe PDF电子文件的形式提交，并用英文写作，字体大小至少为12pt，论文必须在25页以内。 11、在美国东部时间2021年2月8日（星期一）晚上8:00（北京时间2021年2月9日（星期二）上午9:00）比赛结束后，指导教师必须确保每个团队对他们的解决方案文件不再做任何更改。指导教师必须确保所有解决方案文件均已妥善准备，并在美国东部时间2021年2月8日星期一晚上9:00（北京时间2021年2月9日（星期二）上午10:00）之前通过电子邮件发送给COMAP进行评阅。 12、对于受影响的学生的日常学习，COMAP遵循当地学校/机构对于一部分的个别学生的学习条件和相关的所有住宿条件的安排。如果需要专业人员，学校有责任提供法律规定的专业协助。如果参加MCM/ICM活动的学生需要此类住宿安排，学校应详细说明这些住宿安排以及这些住宿安排在多大程度上被用作MCM/ICM活动的一部分。 13、COMAP保留取消或降低违反竞赛规则的参赛队伍的参赛资格的权利。
V. Contest Registration The registration fee for MCM/ICM is $100per team. Please register only the teams that will take part in the contest.Registration fees are non-refundable. We accept payment via Credit Card, andpayment must be made via our secure web site. Our secure site will process yourcredit card payment, so your credit card number is protected. Our system willnot store your credit card number after it processes your payment. We regretthat we are not able to accept other payment forms at this time. All teams must be registered before 3:00 p.m. EST onThursday, February 4, 2021. We recommend that all teams completethe registration process well in advance, since the registration system willnot accept any new team registrations after the deadline. COMAP will not acceptlate registrations for MCM/ICM 2021 under any circumstances. NOEXCEPTIONS WILL BE MADE. Note: Advisors do not have todesignate specific team members when registering "a team." COMAPsuggests you register the number of teams needed well prior to the deadline andthen return to the contest site once team membership is set to enter specificstudents to each "Control Number" team you have registered. 五、竞赛报名 MCM/ICM的注册费是每队100美元。请只登记参加比赛的队伍。报名费不退还。我们接受通过信用卡付款，付款必须通过我们的安全网站。我们的安全网站将处理您的信用卡付款，因此您的信用卡号受到保护。我们的系统在处理您的付款后不会存储您的信用卡号。很遗憾，目前我们不能接受其他付款方式。
所有参赛队必须在美国东部时间2021年2月4日星期四下午3:00前（北京时间2021年2月5日星期五凌晨4:00前）注册。我们建议所有团队提前完成注册过程，因为注册系统在截止日期后将不接受任何新团队注册。COMAP在任何情况下都不接受MCM/ICM 2021的延迟注册，不会有例外。注：注册“团队”时，指导教师可以先不填写团队成员信息。COMAP建议您在截止日期之前注册所需数量的团队，一旦团队成员确定好，您可以返回每个已获得“控制编号”的团队界面输入学生信息。
The 2-part registration process will takeadvisors through a series of screens that ask for an email address and contactinformation. Enter the required information as you step through the screens. Besure to use a valid current email address so that we can use itto contact you at any point before, during, or after the contest, if necessary. 注册过程分为两部分，指导教师们将通过一系列的界面，填写电子邮件地址和联系信息。在界面中输入所需的所有信息。请务必使用当前有效的电子邮件地址，以便我们可以在比赛之前、期间或之后的任何时间（如有必要）使用它与您联系。
- All Registration Activity: https://www.comap.com/undergraduate/contests/mcm. COMAP will accept no other forms of registration. Advisors may register any number of teams, and should use the same email address and password for all teams under the same advisor.
- Advisor Registration: If you are an advisor entering the contest site for the first time for the 2021 contest, click on Register for Contest on the left-hand side of the screen to register as an Advisor. Enter your email and click Continue Advisor Registration. Follow the step to continue and finish your registration. IMPORTANT: Be sure to use a valid and current email address as you will use this email to register all of your teams, and communicate with COMAP. Additionally, COMAP will use this email to contact you at any point before, during, and after the contest, if necessary.
- Register a Team or Teams: On contest site, click on Advisor Login, then log in with the same email address and password that you used when you registered as an advisor. Once you are logged in, click on Register Team near the upper right corner of the page and follow the instructions there. There is no restriction on the number of teams an advisor can register.
a. Fill in billing information. After we receive approval from your financial institution (this takes only a few seconds), the system will issue a control number for your team.
b. Each team is not officially registered until you have received a team control number for that team. The registration page also lists the email address and password that you entered when registering; you will need this information to complete the contest procedures. Make a record of each team control number. You will NOT receive an email confirmation of your registration.
c. You may specify the team members at the time of registration, or at a later time. Advisors may assign team members to specific teams and control numbers up until the beginning of the contest period. Once the contest opens, team members cannot be added or changed. The spelling of all names and institutions is the responsibility of the advisor. This is exactly as they will appear on certificates. The order of the student names has no bearing or importance on participation. In the eyes of COMAP and the contest directors,all team members are equal.Advisors should ensure they spell team members’ names correctly when registering. COMAP will not reprint certificates.
d. To register additional teams, repeat the procedures listed above. - If you need to change any of the advisor or institution information (name, address, contact information, etc.) that you specified when you registered, you can do so at any point before or during the contest by logging in to the contest web site with the same email address and password that you used when registering (click on the Advisor Login link on the left side of the screen). Once logged in, click on the Edit Advisor or Institution Data link near the upper right corner of the page.
- Check the contest web site regularly for any updated instructions or announcements about the contest. Except in extreme circumstances, COMAP will not send any confirmation, reminders, or announcements by email. All communication regarding the contest will be via the contest web site and Twitter/Weibo.
- New! Follow COMAPMath on Twitter or COMAPCHINAOFFICIAL on Weibo for the most up to date information before, during, and after the contest.
1、所有注册活动均在如下网址进行：https://www.comap.com/substandard/contestics/mcm。COMAP不接受其他形式的注册。指导教师可以注册任意数量的团队，并且应该为同一指导教师名下的所有团队使用相同的电子邮件地址和密码。 2、指导教师注册：如果您是第一次进入2021年竞赛网站的指导教师，请单击屏幕左侧的Register for Contest以注册为指导教师。输入您的电子邮件地址，然后单击Continue Advisor Registration。按照步骤继续并完成注册。重要提示：请务必使用当前有效的电子邮件地址，因为您将使用此电子邮件注册所有团队，并与COMAP通信。此外，如有必要，COMAP将在比赛之前、期间和之后随时使用此电子邮件与您联系。 3、注册一个或多个团队：在竞赛网站上，单击Advisor Login，然后使用注册为指导教师时使用的电子邮件地址和密码登录。登录后，单击页面右上角附近的Register Team，然后按照此处的说明进行操作。指导教师可以注册的团队数量没有限制。 a、 填写账单信息。在我们收到您的金融机构的批准（这只需要几秒钟）后，系统将为您的团队颁发一个控制编号。
b、 在您收到该团队的团队控制编号之前，任何团队都不算完成注册。注册页面还列出了您在注册时输入的电子邮件地址和密码；您将需要这些信息来完成竞赛的流程。记录每个小组的控制编号。您将不会收到确认您注册的电子邮件。 c、 您可以在注册时填写团队成员，也可以稍后再填写。指导教师可以将队员分配到某一个特定的具有控制编号的队伍。比赛开始后，不能添加或更改团队成员。所有姓名和机构的拼写由指导教师负责。这些信息将出现在证书上。学生姓名的顺序对参与重要性没有影响。在COMAP和竞赛负责人看来，所有队员都是平等的，指导教师应该确保他们在注册时正确拼写团队成员的名字。COMAP不会重印证书。 d、 要注册其他团队，请重复上述步骤。 4、如果您需要更改注册时指定的任何指导教师或机构信息（姓名、地址、联系信息等），您可以在比赛前或比赛期间的任何时间使用注册时使用的电子邮件地址和密码登录到比赛网站（单击Advisor Login链接）在屏幕左侧）。登录后，单击页面右上角附近的Edit Advisor or Institution Data链接。 5、定期查看竞赛网站，了解有关竞赛的最新说明或公告。除极端情况外，COMAP不会通过电子邮件发送任何确认、提醒或公告。所有关于比赛的信息都将通过比赛网站和Twitter/微博进行。 6、最新！关注Twitter上的COMAPMath或微博上的comachinaofficial，获取赛前、赛中和赛后的最新信息。
VI. Contest Instructions Before the Contest- Preparing a Team
- We encourage advisors and faculty to coach and prepare students BEFORE the start of the contest. COMAP offers several resources:
a. Go to the MCM/ICM web site and review the rules, guidelines, and prior years' problems.
b. Visit www.mathmodels.org to view previous years' problems and solutions.
c. Visit https://www.comap.com/undergraduate/contests/resources/index.html, the MCM/ICM Articles, Resources, and Links page.
d. The MCM/ICM "Tips" article (found on the resource web page) provides students and advisors tips for before, during, and after the contest.
e. Read the Summer and Fall UMAP Journal MCM and ICM articles, which include the Director's Article and Judges' Commentary for MCM and ICM. These articles describe what judges look for in the various sections of solutions. - Ensure that students have access to computers that enable them to word process, use a spreadsheet, and dynamically model both graphs and geometric relationships.
六、竞赛说明
赛前准备 1、我们鼓励导师和教员在比赛开始前对学生进行指导和帮助。COMAP提供了几种资源： a、 访问MCM/ICM网站，查看规则、指南和以前年份的问题。 b、 访问www.mathmodels.org查看往年的问题和解决方案。 c、 访问https://www.comap.com/industrial/contestics/resources/index.html，MCM/ICM文章、资源和链接页。 d、 MCM/ICM的“Tips”文章（可在资源网页上找到）为学生和指导教师提供了比赛前、比赛中和比赛后的提示。 e、 阅读夏季和秋季UMAP杂志的MCM和ICM文章，包括出题人的文章和评委对MCM和ICM的评论。这些文章描述了评委在解决方案的各个部分中究竟要看到什么。 2、确保学生能够使用计算机，使他们能够进行文字处理，使用电子表格，并能动态构建图形和几何关系。 During the Contest- Choosing and Solving the Problem
- The contest problems become available for teams to view at precisely 5:00 p.m. EST on Thursday February 4, 2021 on the contest web site:
https://www.comap.com/undergraduate/contests/mcm
No password is needed to view the problems. Simply go to the contest web site at or after 5 p.m. EST on Thursday, February 4, 2021 and you will see a link to view the problems. - The contest problems will also become available for teams to view precisely at 4:50PM EST on Thursday February 4, 2021 on the following mirror sites:
http://www.comapmath.com/MCMICM/index.html (Preferred)
http://www.comap-math.com/mcm/index.html
http://www.mathismore.net/mcm/index.html
http://www.mathportals.com/mcm/index.html
http://www.immchallenge.org/mcm/index.html
If you cannot access any of the sites, there may be a problem with your local Internet connection. Contact your local Internet service provider to resolve the issue. - Each registered team may choose any one of the six problem choices and should submit a solution to only one problem.
• MCM problems are Problem A, Problem B or Problem C.
• ICM problems are Problem D, Problem E or Problem F. - Teams may use any inanimate source of data, materials, computers, software, references, websites, books, etc. Teams should reference all sources used using footnotes, endnotes, or in-line documentation, and include an associated reference list citing all sources.
- Teams may not seek help from any person outside of team members as delineated in the Contest Rules (specifically Rule #6).
- Teams should keep in mind the following guidelines when solving the problem and developing their solution.
a. Summary Sheet: The summary is an essential part of your MCM/ICM paper and should appear as the first page of your solution report. The judges place considerable weight on the summary, and winning papers are often distinguished from other papers based on the quality of the summary. Click here to download the Microsoft Word Summary Sheet or Click here to download the LaTeX Summary Sheet.
• To write a good summary, imagine that a reader will choose whether to read the body of the paper based on your summary: Your concise presentation in the summary should inspire a reader to learn about the details of your work.
• You should write the summary last, as it should clearly describe your approach to the problem and, most prominently, your most important conclusions. Ensure you plan time after solving your problem to write a comprehensive and articulate summary.
• Summaries that are mere restatements of the contest problem, or are a cut-and-paste boilerplate from the Introduction are generally considered to be weak.
b. Overall: The team’s solution should be articulate, concise, and organized in order to allow the reader to easily follow the solution process and conclusions. Key statements should present major ideas and results.
• A Table of Contents assists the reader in previewing the organization of your report.
• Present a clarification or restatement of the problem as appropriate.
• Present a clear exposition of all variables and hypotheses.
• State and justify reasonable assumptions that bear on the problem.
• Present an analysis of the problem, motivating or justifying the model being used.
• Summarize derivations, computations, or illustrative examples in the main body of the solution, and leave lengthy derivations and/or calculations and data in appropriate appendices.
• Include a design of the model. Discuss how the model could be tested, to include error analysis, sensitivity, and/or stability.
• Discuss any apparent strengths or weaknesses to your model or approach.
• Provide a conclusion and report results explicitly.
• Document resources and references. - New! Follow COMAPMath on Twitter or COMAPCHINAOFFICIAL on Weibo for the most up to date information before, during, and after the contest.
在比赛中-选择和解决问题 1、竞赛赛题将在美国东部时间2021年2月4日（星期四）下午5:00（北京时间2021年2月5日（星期五）上午6:00）在竞赛网站上提供给参赛队查看： https://www.comap.com/industrial/contestics/mcm 查看问题不需要密码。只要在美国东部时间2021年2月4日（星期四）下午5点或之后访问竞赛网站，您就会看到一个查看问题的链接。 2、竞赛问题也将在美国东部时间2021年2月4日（星期四）下午4:50分在以下镜像站点上为参赛队提供精确查看： http://www.comapmath.com/MCMICM/index.html（首选） http://www.comap-math.com/mcm/index.html http://www.mathismore.net/mcm/index.html http://www.mathportals.com/mcm/index.html http://www.immcchallenge.org/mcm/index.html 如果您无法访问任何网站，则您的本地Internet连接可能有问题。请与您当地的Internet服务提供商联系以解决此问题。 3、每个注册团队可以在六个问题中任选一个解决，并且应该只提交一个问题的解决方案。 •MCM问题是问题A、问题B或问题C。 •ICM问题是问题D、问题E或问题F。 4、团队可以使用任何无生命的数据、材料、计算机、软件、参考资料、网站、书籍等来源。团队应使用脚注、尾注或在线文档的方式标注所有参考来源，并包括引用所有来源的相关参考文献列表。 5、参赛队不得向竞赛规则（特别是规则6）中规定的队员以外的任何人寻求帮助。 6、团队在解决问题和制定解决方案时应牢记以下准则。 a、摘要页：摘要是MCM/ICM论文的重要部分，应作为解决方案报告的第一页出现。摘要在评审中所占的比重相当高，获奖论文往往根据摘要的质量与其他论文相区别。单击此处下载Microsoft Word摘要页，或单击此处下载LaTeX摘要页。 •要写出一篇好的摘要，想象一下评委会根据你的摘要来选择是否阅读论文的正文：你在摘要中的简明陈述应该会激励评委来了解你作品的细节。 •你应该把最后写摘要页，因为它应该清楚地描述你解决问题的方法，尤其是你最重要的结论。确保你在解决问题后能安排时间写一个全面而清晰的摘要。 •仅仅是对竞赛问题的重述，或者从前言中剪切一部分作为摘要通常被认为是不行的。 b、 总而言之：团队的解决方案应该清晰、简洁、有条理，以便读者能够轻松地理解解决方案的过程和结论。关键语句应提出主要观点和结果。 •目录有助于读者预览报告的组织结构。 •根据情况对问题进行细化或重述。 •清晰阐述所有变量和假设。 •陈述并证明与问题有关的合理假设。 •给出问题分析，探究或证明所用模型的合理性。 •在解决方案的主体部分应该包括理论的总结推导、计算或说明性示例，并在适当的附录中留下冗长的推导和/或计算和数据。 •包括模型的构建。讨论如何测试模型，包括误差分析、灵敏度和/或稳定性分析。 •讨论您的模型或方法的任何明显优点或缺点。 •提供结论并明确报告结果。 •文件资源和参考资料。 7、最新！关注Twitter上的COMAPMath或微博上的comachinaofficial，获取赛前、赛中和赛后的最新信息。
During the Contest – Preparing a Solution Document
- MCM/ICM solutions are judged as varying degrees of successfully completing the contest (from Successful Participant up to Outstanding). There is no passing or cut-off score, and therefore, partial solutions are acceptable and teams are encouraged to complete as much of the problem as they are able to do. MCM/ICM judges are primarily interested in the team’s thought processes, analysis of the problem, modeling approaches, and mathematical methods.
- Teams must submit their entire solution in one Adobe PDF electronic file, consisting of written text, figures, charts, and supporting materials. Papers must be typed in English, with a readable font of at least 12-point type. Do not send additional “non solution” files such as data or computer programs.
- Each page of the solution must contain the team control number and the page number at the top of the page. Use a page header on each page - for example: Team # 214321, Page 6 of 25.
- Your solution report should start with the Summary Sheet followed by the team’s solution. Ensure your solution meets the 25 page limit requirement. A Table of Contents is encouraged and does count toward the page limit. Reference list (or Bibliography), notes pages, and any appendices now count toward the page limit and should be included after the solution pages.
- Names of the students, advisor, and/or institution must not appear on any page of the solution. The solution file must not contain any identifying information other than the team Control Number.
- STOP making any changes to the solution at 8:00pm EST on Monday, February 8, 2021.
竞赛期间-准备解决方案文档 1、MCM/ICM解决方案被视为完成比赛的不同程度的依据（从成功参与奖到杰出贡献奖）。没有设定通过或划分等级的分数，因此，部分解决方案是可以接受的，并且鼓励团队尽可能多地完成问题。MCM/ICM的评审主要关注团队的思维过程、问题分析、建模方法和数学方法。 2、团队必须用一个Adobe PDF电子文档来提交他们的整个解决方案，包括书面文本、数字、图表和支持材料。论文必须用英文书写，字体至少为12号的易于读写的字体。不要发送额外的“非解决方案”文件，如数据或计算机程序。 3、解决方案的每一页都必须包含团队控制编号和页面顶部的页码。在每页上使用页眉-例如：Team # 214321, Page 6 of 25. 4、您的解决方案报告应该以摘要页开始，然后是团队的解决方案。确保您的解决方案满足25页的限制要求。鼓励使用目录，但不计入页数限制。参考文献列表（或参考书目）、注释页和任何附录现在计入页数限制，应包含在解决方案页之后。 5、学生、导师和/或机构的名称不得出现在解决方案的任何页面上。解决方案文件不得包含除团队控制编号以外的任何标识信息。 6、在美国东部时间2021年2月8日星期一晚上8:00（北京时间2021年2月9日星期二上午9:00）停止对解决方案进行任何更改。 During the Contest– Advisor Activities
- After the contest begins at 5 p.m. EST on Thursday February 4, 2021, and while the teams are preparing their solutions, the advisor should login to the contest web site at https://www.comap.com/undergraduate/contests/mcm. Click on Advisor Login, and then enter your email address and password.
- For each control number, if you have not done so already, enter the team member names and confirm that each name is spelled correctly. The order of the student names has no bearing or importance on participation. In the eyes of COMAP and the contest directors,all team members are equal. This determines how the names will appear on the contest certificates. COMAP will not make any changes or reprint certificates for any reason.
- Specify the problem that each team has chosen to solve.
- Click here to download the Microsoft Word Summary Sheet or Click here to download the LaTeX Summary Sheet. (This should be used as the first page of each team’s electronic email submission.)
比赛期间–指导教师工作 1、比赛于美国东部时间2021年2月4日（星期四）下午5点（北京时间2021年2月5日（星期五）上午6点）开始后，当参赛队正在准备解决方案时，指导老师应登录比赛网站https://www.comap.com/substandard/contestics/mcm。单击Advisor登录，然后输入您的电子邮件地址和密码。 2、对于每个控制编号，如果您还没有填写队员信息，请输入团队成员名称并确认每个名称拼写正确。学生姓名的顺序对参与重要性没有影响。在COMAP和竞赛负责人看来，所有队员都是平等的。这决定了这些名字将如何出现在竞赛证书上。COMAP不会以任何理由更改或重印证书。 3、为每个团队选择要解决的问题。 4、单击此处下载Microsoft Word摘要表，或单击此处下载LaTeX摘要表。（这应作为每个团队提交电子文档的第一页。） Afterthe Contest - Submitting a Solution Document
- Teams must end all work on their solution by 8:00 p.m. EST on Monday February 8, 2021 and send an Adobe PDFelectronic file of Solution Paper by email to COMAP by 9:00 p.m. EST on Monday, February 8, 2021. *Note: Do not wait until the last minute. Send solution as soon as it is completed.
- No further modifications, enhancements, additions, or improvements may be made to the team’s solution paper after 8 p.m. EST on February 8, 2021. Any changes to the solution will constitute a violation of the contest rules and may result in disqualification.
- Each team is required to submit an Adobe PDF electronic copy of its solution by email to solutions@comap.com. Any team member or the advisor may submit this email.
a. Your email with your electronic PDF solution file MUST be received at COMAP on or before the email submission deadline of 9:00 p.m. EST on February 8, 2021.
b. In the subject line of your email write your team's control number. For example, Subject: 2112345. Limit one team solution file per email.
c. Use your team's control number as the name of your file attachment. For example: 2112345.pdf. *Note: The attachment must be less than 17MB. Do not use a cloud service such as Google Docs. Your email must contain an Adobe PDF attachment.
d. Page 1 of the team’s PDF electronic solution should be the team summary, followed by the solution and any references and appendices.
e. Do not include or send programs, software, databases, and/or other files with your solution email, as they will not be used in the judging process.
f. The names of the students, advisor, or institution should NOT appear on any page of the electronic solution.g. COMAP will accept only an Adobe PDF of your solution. Limit one solution per email. - Failure by a team to submit a solution via email by 9:00 p.m. EST on February 8, 2021 in accordance with the above instructions may result in disqualification or reduction of award level.
赛后-提交解决方案文件 1、团队必须在2021年2月8日星期一美国东部时间晚上8:00之前（北京时间2021年2月9日星期二上午9:00之前）结束其解决方案的所有工作，并在2021年2月8日星期一美国东部时间晚上9:00之前（北京时间2021年2月9日星期二上午10:00之前）通过电子邮件向COMAP发送解决方案文件的Adobe PDF电子文件。*注意：不要等到最后一分钟。完成后立即发送解决方案。 2、在美国东部时间2021年2月8日晚8点（北京时间2021年2月9日星期二上午9:00）之后，团队的解决方案文件不得再作任何修改、增强、补充或改进。对解决方案的任何更改将构成对竞赛规则的违反，并可能导致取消参赛资格。 3、每个团队都需要通过电子邮件将其解决方案的Adobe PDF电子 |
