Key points: Mathematical model paper format and requirements Difficulties: Fully express unity and cooperation 1. The importance of writing mathematical model papers 1. Mathematical model paper is the only basis for evaluating the performance, level and award-winning level of the contestants. 2. Mathematical model paper is the written form of the final result of training (or competition) activities. 3. The training of writing a good paper is the basic training of scientific and technological paper writing. Second, the basic content of mathematical model test paper 1, marking principle: rationality of hypothesis; Creative modeling; Rationality of the result; Clear expression 2. Mathematical model paper structure 0, abstract 1, problem statement: summarize the content and significance of the problem 2. Model hypothesis: write the reasonable hypothesis of the problem, explain the symbols 3. Model establishment: describe the meaning and satisfaction conditions of the model, variables and parameters in detail, analyze the problem, deduce the formula, establish the basic model, deepen the model, and finally simplify the model 4. Mathematical software used, etc. 5. Model test: result representation, analytical test, error analysis, etc. 6. Model evaluation: features, advantages and disadvantages, and improvement methods of the model 7. References: Only published documents, with the source 8 indicated. Appendix: Calculation block diagram, calculation program and detailed drawing 3. Questions to pay attention to 0. Summary expression: accurate, concise, clear and grammatical. 300-500 words, including the main features of the model, modeling methods and main results. There can be formulas, not charts. In short, the abstract should reflect: what methods were used, what problems were solved, and what main conclusions were drawn. It can also be used for these promotional activities. 1, modeling preparation and problem restatement: understand the actual background of the problem, clarify the modeling purpose, and collect literature and data. Determine the model type and repeat the question. In this process, we should make full use of e-book resources and paper book resources, find relevant background knowledge, understand the research status of this problem and the basic solutions used. 2. It is very important to explain the rationality of model assumptions and basic assumptions in symbols (1). Make assumptions according to the subject conditions; (2) Make assumptions according to the requirements of the topic; (3) Basic and key assumptions are indispensable; (4) The use of symbols should be concise and universal. 3. The establishment of the model (1) Basic model 1) must first have mathematical models: mathematical formulas, schemes, etc. 2) Basic model: it doesn't matter if it is complete, correct, concise and rough. 2) The deepening model 1) should clearly explain the thinking and basis of deepening, such as making up for the shortcomings of the basic model ... Mathematical modeling is to solve practical problems, not to pursue the high (level), deep (carving) and difficult (degree) of mathematics. ▲ If it can be solved by elementary methods, there is no need for advanced methods; ▲ If it can be solved by simple methods, there is no need for complicated methods; ▲ If you can use a method that people can understand and understand, you don't need a method that only a few people can understand and understand. 4) Encourage innovation, but be pragmatic, don't digress, and do something unconventional. Mathematical model innovation can appear in ▲ modeling: the model itself, good methods and strategies for simplification, etc. ▲ The model is being solved; ▲ Result representation, analysis and model test; ▲ Promotion part. 5) In the process of problem analysis and deduction, we should pay attention to the following points: ▲ The analysis should be pertinent and accurate; ▲ Terminology: professional and expert; ▲ Principles and basis: correct and clear; ▲ Description: be concise and to the point, and list the key steps; ▲ bogey: layman's words, technical terms are unclear, expressions are confusing, and tedious. 4. When solving the model (1) needs to establish a mathematical proposition, the proposition statement should conform to the norms of mathematical propositions and the argument should be as rigorous as possible; (2) It is necessary to explain the principle, thinking, basis and steps of the calculation method or algorithm. If the existing software is adopted, the reason for adopting the software and the name of the software shall be explained; (3) In the calculation process, the intermediate results are optional and not listed. (4) Try to get a reasonable numerical result. 5. Model verification and result analysis (1) The correctness or rationality of the final numerical results comes first; (2) Check the numerical results or simulation results as required. When the result is incorrect, unreasonable or has a large error, it is necessary to analyze the reasons and modify and improve the algorithm, calculation method or model; (3) List the questions, numerical results and conclusions required to be answered in the topic one by one; (4) column data should be considered: whether it is necessary to list multiple groups of data or additional data; Compare and analyze the data to provide reliable basis for the proposal of various schemes; (5) The result display should be centralized, clear at a glance, intuitive and convenient for comparison and analysis. (It is best not to spread pages) ▲ Numerical results show that the table is carefully designed; If possible, in the form of a chart. ▲ It is better to use a graphic solution. (6) When necessary, answer questions and conduct qualitative or regular discussions. The final conclusion should be clear. 6. The advantages of model evaluation should be highlighted, and the disadvantages should not be avoided. If you want to change the original requirements, you can re-model here. Don't play with new mathematical terms when popularizing or improving the direction. 7. References are limited to published articles, documents or web pages: [1] Chen Lirong, Introduction to Mathematical Modeling (M), Beijing: Beijing University of Posts and Telecommunications Press, 1999. [2] Chu, the application of rapid cluster analysis in product market differentiation (J), Journal of Wuhan University of Technology, 2004. But don't be wrong, the wrong would rather not be listed. The main result data should be listed in the text. 9. Thinking and work planning before writing the answer sheet What questions need to be answered in the answer sheet-What problems need to be solved in modeling and how to answer the questions-What form should the results show which key data should be listed in each question-What key data should be calculated in modeling, whether to list one or more groups-Whether to calculate one group or more groups ... 10, principles required in the answer sheet ▲ accuracy-science ▲ actual problem requirements. Fourth, the modeling concept 1. Application consciousness: to make your mathematical model solve or explain practical problems, its results and conclusions should be in line with reality; The model, method and results should be easy to understand and convenient for practical application; Think and deal with problems from the standpoint of users. 2. Mathematical modeling: Mathematical models are needed to solve problems by mathematical methods; The mathematical abstraction of the problem model is universal and scientific, and is not limited to the solution of this specific problem. We should be able to promote the same problem. 3. Innovative consciousness: Modeling has its own characteristics, which should be reasonable, scientific, effective and realistic; It should have universal application significance; Not only for innovation, but also for innovation. 5. Format requires the writing format of the participating papers. Title of the paper (No.3 bold, centered) First-class title (No.4 bold, centered) All other Chinese characters in the paper are Song Ti No.4, single-spaced. Paper should be white A4 paper, with margins of 2.5cm at the top, bottom, left and right. The first page is the title of the paper and the author's major, class, name and student number. The second page is the title and abstract of the paper. The page number of the paper must be written from the third page, located in the middle of the footer of each page, and numbered consecutively with Arabic numerals "1". At the beginning of the fourth page, the text of the paper should include the following eight parts: raising questions: describing the content and significance of the questions; Basic assumptions: write down the reasonable assumptions of the problem; Modeling: Describe the meaning, satisfying conditions and modeling ideas of models, variables and parameters in detail; Model solving: the main steps and algorithms of solving; Results analysis and testing: (including error analysis); Model evaluation: advantages and disadvantages and suggestions for improvement; References: limited to public publications, indicating the source; References are marked with square brackets in the citations, such as [1][3], etc. The references are listed according to the citation order, in which the description of books is: [No.] author, title and place of publication: publishing house, and the description of periodical papers in the references of publication year is: [No.] author, paper name, magazine name and serial number: year of publication. The expression of online resources in the citation of publication year is: [No.] author, resource title, website address, visit time (year, month, year, month, day) 6. It is best for three people to achieve good results in division of labor and cooperation. Among these three people, one should have a good mathematical foundation as far as possible, one should have strong mathematical software and programming application ability, and the other should have a good writing level of scientific papers. The writing of scientific and technological papers requires the whole paper to be rigorous in structure, logical in language and accurate in words. Three people should be able to cooperate. If three people don't cooperate well, it will reduce efficiency and lead to the failure of the whole modeling. In the process of cooperation, it is best to find a team leader, that is, to be responsible for the overall situation, including task allocation, mutual cooperation and schedule arrangement. In the process of modeling, when there are differences, respect and understand first, so as to "give me a reason to believe in you" and "believe me, my reason is …", and don't make unnecessary arguments. Be good at struggle and be brave in compromise. We should also pay attention to the following points: pay attention to saving files to prevent mistakes from being synchronized with modeling work, and pay attention to keeping secrets to prevent copying the conditions and models for successful mathematical modeling: interested and willing to learn; Have confidence and dare to challenge; Determined, not afraid of difficulties; Knowledge and broad thinking; Have the ability to explore; Have level and good cooperation; There are laws and many ideas; Perseverance, light results.