Difficulties: the full expression of unity and cooperation

First, the importance of writing mathematical model papers

1. The 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 the mathematical model paper

1, marking principle:

Rationality of hypothesis;

Creative modeling;

Rationality of the result;

Clear expression

2. Structure of mathematical model paper

0. Summary

1. Ask the question: summarize the content and significance of the question.

2. Assumptions of the model: write out the reasonable assumptions and symbolic explanations of the problem.

3. Model establishment: describe the meanings and satisfying conditions of models, variables and parameters in detail, analyze problems, derive formulas, establish basic models, deepen models, and finally simplify models.

4. Solution of the model: the main steps and algorithms of the solution, the mathematical software used, etc.

5. Model test: result representation, analytical test, error analysis, etc.

6. Model evaluation: the characteristics, advantages and disadvantages and improvement methods of the model.

7. References: Only publications are allowed, indicating the source.

8. Appendix: Calculation block diagram, calculation program and detailed drawing.

Third, the problems that need attention

0. Summary

Description: accurate, concise, clear and grammatical.

300-500 words, including the main features of the model, modeling methods and main results. You can have formulas, but you can't have charts.

In short, the abstract should reflect: what methods were used, what problems were solved, and the 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, define the purpose of modeling, 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, model assumptions, symbols

The rationality of basic assumptions is very important.

(1) Make assumptions according to the topic 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. Establishment of the model

(1) basic model

1) first of all, there must be a mathematical model: mathematical formula, scheme, etc.

2) Basic model: it doesn't matter if it is complete, correct, concise and rough.

(2) Deepening the model

1) should clearly explain the ideas and basis for deepening, such as making up for the shortcomings of the basic model. ...

2) Give the deepening model as completely as possible.

3) The model should be practical and effective, with the principle of effectively solving problems. Mathematical modeling is about solving practical problems, not pursuing 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 is understood and understood by more people, 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

▲ In modeling: the model itself, good simplification methods and strategies, 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:

▲ Analysis: 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, model solving

(1) When a mathematical proposition needs to be established, the description of the proposition should conform to the norms of the mathematical proposition 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 test and result analysis

(1) The correctness or rationality of the final numerical results is the 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;

Author: Prince Chihiro 2007-6-29 00:26 Reply to this speech

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2 How to write a thesis on mathematical modeling? If you don't read it, you will regret it!

(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. Model evaluation

The advantages 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. Reference

Only published articles, documents or web pages.

Specification format:

[1] Chen Lirong, Introduction to Mathematical Modeling (M), Beijing: Beijing University of Posts and Telecommunications Press, 1999.

[2] Chu, the application of fast cluster analysis in product market differentiation (J), Journal of Wuhan University of Technology, 2004,23 (2), 20-23.

8. Appendix

Detailed data, tables, charts and calculation programs should be listed here. But don't be wrong, and the wrong ones 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 them? In what form should the results show what key data should be listed for each question? What key data should be calculated in modeling? Is one or more groups listed? Is one or more groups calculated? ...

10, the principle requirements of the answer sheet ▲ accuracy ▲ scientificity ▲ organization ▲ logic ▲ simplicity ▲ mathematical beauty ▲ innovation ▲ research and application objectives, as well as personnel training needs ▲ practicality ▲ modeling. Practical problem requirements.

Fourthly, the concept of modeling.

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 just for innovation.

Verb (abbreviation of verb) format requirements

The writing format of the participating papers

Title of the paper (No.3 bold, center)

First-level title (bold No.4, center)

All other Chinese characters in this paper are Song No.4, with single spacing. 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".

The fourth page of the main body of the paper begins.

The text should include the following eight parts:

Problem presentation: describe the content and significance of the problem;

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. References are listed in the order cited in the paper, among which

The statement of this book is:

[No.] Author, title, place of publication: publishing house, year of publication

The periodical papers in the references are expressed as follows:

[No.] Author, paper name, magazine name, issue number: year of publication.

The online resources are described in the references as follows:

[No.] Author, resource title, website and visit time (year, month and day)

Appendix: calculation block diagram, original program and printed results.

Sixth, the division of labor and cooperation has achieved good results.

It's best to work in groups of three. One of these three people should have a good mathematical foundation, strong application ability of mathematical software and programming, and 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.

Also note the following points:

Pay attention to economy in case of accidents.

Synchronization of writing and modeling work

Pay attention to confidentiality and prevent plagiarism.

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 ways and ideas; Perseverance, light results.