table of Contents
The latest 2021 beauty contest template
The most common mistake every year
Preface
The only evaluation material for the mathematical modeling competition is the paper. The purpose of writing the paper is to allow readers to quickly and clearly understand the author's entire research process, so it is often necessary to carefully design the writing structure of the paper. For papers with chaotic structure, even if the model is excellent, if readers can't sort out the ideas and main points of writing in the first time, it will be difficult to get the ideal ranking!
Therefore, it is recommended that the structure must be clear and organized!
The design of the paper structure should best fit the review rules. Here is a brief introduction to Meisai’s review rules.
The expression is concise and the structure is reasonable;
The key sentence should show the main ideas and results;
Restate and clarify the question;
List all the prerequisites and assumptions used in modeling, and give clear explanations;
Analyze the contest questions, give the motivation of modeling or demonstrate the rationality of modeling;
Model design;
Discuss how to test the model, including error analysis and stability testing (such as analysis and testing of factors such as conditions and sensitivity);
Discuss the advantages and disadvantages of the model.
In view of the above review rules, the paper structure design for general mathematical modeling is as follows:
Summary (Summary)
1 Restatement of the Problem
2 Assumptions (2 Assumptions)
3 Justification of Our Approach (3 Justification of Our Approach)
4 Model Design (4 The Model)
5 Model testing (5 Testing the Model)
6 Conclusion (6 Results)
7 Advantages and disadvantages of the model (7 Strengths and Weaknesses)
References (References)
Next, we will explore the basic structure of mathematical modeling papers and the corresponding precautions.
topic
The topic is mainly to highlight the problem and model, that is, what problem, what kind of mathematical model, the theme ideas to be reflected, etc. , such as: optimal fishing strategy model, optimization design of parts parameters, linear programming model of venture capital portfolio, portfolio plan The fuzzy planning model of the disaster situation, the graph theory model of the disaster inspection route, the mathematical model of the washing machine water saving, etc.
Summary
The abstract is generally written in 200-300 words, including the significance of the research, the main ideas, characteristics, modeling methods and main results of the model . The characteristics of the paper are clearly stated, so that people can see the novelty of the paper. During the national review, the pros and cons of the paper will be initially screened based on the abstract and the overall structure and overview of the paper.
a. Mathematics classification of modeling (what kind of mathematics)
b. Modeling ideas (thoughts);
c. Algorithm ideas (solution ideas);
d. Modeling characteristics (model advantages, modeling ideas or methods, algorithm characteristics, result testing, sensitivity analysis, model testing...);
e. Main results (numerical results, conclusions; answer all the "questions" asked by the title).
Pay attention to the presentation: accurate, concise, and clear, be sure to proofread carefully.
Key words
The key words are mainly 3 to 5 important terms in the problem solving and methods used.
text
The main text mainly includes problem restatement, problem analysis, model hypothesis and symbol description, model establishment and solution, model test, sensitivity analysis, model advantages and disadvantages evaluation, etc.
Problem restatement refers to the interpretation of the problem, extracting the key problems, and avoid copying and pasting the problems in previous years.
Problem analysis refers to the understanding of the problem being studied and the idea of solving the problem . Note that this is only to explain the preparation work for solving the problem and the model that is expected to be established. Needless to say, it is too detailed. After all, it is just that the idea has not yet been implemented.
Model assumptions refer to the necessary and reasonable simplifications of the conditions applied by the model, because if any problem is fully considered, it may be extremely complicated and cumbersome, resulting in a model that is too bloated. Therefore, making necessary assumptions about the model can simplify the research. The problem is more focused, so the factors that have little impact on the research problem or that are not easy to quantify can be ignored . Generally, just write 6-8.
Symbol description is to explain the symbols frequently used in the title in advance, so as not to be unclear to the reader. For symbols that appear less frequently, they can be directly given below when writing the formula .
For model establishment and solution: the core of mathematical modeling is to use mathematical thinking to solve practical problems, so modeling is the most important thing. There are three options for general model establishment. The first is to create a new model, which is extremely innovative Requires strong mathematical reasoning and calculation capabilities; the second is to improve the optimization model, many models can be optimized and improved according to actual problems, so that they have other additional functions. The third is to use existing models to solve problems. Generally speaking, three or four days of modeling are very hasty. Whether it is to create a new model or improve a model, a strong mathematical derivation ability is required. Therefore, applying a model is a relatively common method. Choose an appropriate model to solve the problem. Regardless of the solution, the model should be concise and effective. Don't deliberately pursue the complexity of the model!
Model checking refers to the use of data calculation results, analysis and testing. For example, if a population model is built to predict the future population, you can use 1990-2010 data to predict the next ten years, and then compare it with the real 2011 -Compare the population in 2020 to test the accuracy of the model.
Sensitivity analysis is also the task of the students participating in the competition. No matter which method is used, the model established often contains many parameters. For example, when studying traffic mathematical problems, the average speed of traffic flow needs to be considered. What kind of influence will the changes of the above parameters have on the model results? It is helpful to analyze the stability and applicable conditions of the model, and then better apply and promote the model.
The analysis of the advantages and disadvantages of the model is also one of the points that the judges will focus on. In theory, mathematical modeling has no fixed answer due to the different perspectives and conditions of thinking, and the modeling time is rushed. Each paper will have some defects. For example, some data are only approximate values, some conditions cannot be considered, etc. You must be brave enough to admit the shortcomings and explain your future improvement ideas. The advantages should also be clearly stated in the article, such as the simple model, strong versatility, high accuracy, etc., but there must be a basis, and you can't talk about it!
references
References refer to the research results of whom one's own research refers to, and need to be marked in the text. References must be written in a standard format.
The description of books in the reference is: serial number, author, title, edition (not marked in the first edition), publication place: publisher, publication year, page number.
The expression of journal articles in the references is: serial number, author, paper name, journal name, volume number: start and end page number, publication year.
The way of expressing online resources in the references is: serial number, author, resource title, URL, access time (year, month, day).
appendix
The appendix refers to calculation procedures, block diagrams; various calculation processes, calculation intermediate results; various graphics and tables.
The latest 2021 beauty contest template
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WORD writing template
In addition, in order to facilitate everyone to write in accordance with the formal structure, we have also prepared the latest 2021 Meisai Latex typesetting template and WORD writing template for everyone. You can take a look.
Latex typesetting template
And the latest version of 2021Latex writing template (including abstract) The template comes from: LaTeX studio
The most common mistake every year
Original link: 2021 Meisai ultimate sprint winning points + free Q&A!
Dear friends, I don’t know how you are preparing for the beauty contest. You should be ready to try it out. Don’t be afraid of us nagging. Let me tell you about the most common mistakes you make every year~
- 1 The latest paper submission time: February 9th at 10:00 am
- 2 The total number of pages of the paper must be within 25 pages, including the table of contents
- 3 English writing of full paper
- 4 You only need to write the control number for the thesis email subject
- 5 The paper is in PDF format, the maximum size is 17M
- 6 The name, school and other information must not appear in the paper
- 7 Don't forget to choose the topic on the official website
There are some other advices to pay attention to time planning. Don’t rush to do it after you get the competition questions. Instead, you should carefully analyze the competition questions, consult relevant information, and discuss carefully between teammates to determine a basic outline. Division of labor, so as to be more efficient.
Again, the abstract must be taken seriously!
Take at least three hours to study the abstract carefully. A perfect abstract usually consists of three parts. The first part is the introduction, often writing the background and requirements of the problem; the second part is the modeling process, which mainly includes modeling ideas, methods and results, and conclusions. And so on; The third part is a summary, mainly including the advantages and disadvantages of the model and sensitivity analysis. The summary should not exceed one page, not to mention diagrams, undefined symbols, etc.!
Model assumptions and sensitivity analysis are also one of the keys to the review!
Model assumptions are often constraints on unknown situations or low-probability events. Regardless of the problem to be solved, the assumptions used must be clearly listed in the text and reasonable assumptions must be made in the modeling process. Your own assumptions, rather than "compact assumptions" for the sake of assumptions.
Sensitivity analysis is often a model stability test for hypotheses, because as long as the hypothesis is accurate, it needs to be tested by sensitivity analysis. You can read this post: What is mathematical modeling sensitivity analysis? Why are there basically award-winning papers!