You should write what you know best and are familiar with this piece of knowledge, so that you can easily answer the teacher's questions.

Secondly, in terms of structure:

1. Title: Naming should briefly explain the core purpose of your paper.

2. Abstract: Briefly describe your mathematical theory system and the purpose and value of writing this paper.

3, Keywords: the highest frequency of technical terms in the paper

4. Core concept or distinction: If you are going to use your own conceptual nouns in your paper, or use nouns that have been used in previous theories but have different connotations, explain and distinguish them here for easy reading.

5. Text

The text needs to contain several parts.

A. Assumption: Under what circumstances, or in what kind of mathematical application, there are obstacles and it is necessary to create a new theoretical system, or under what circumstances, the space for applying mathematics has the opportunity to expand. In other words, the paper didn't fly out of thin air. Something must have inspired your passion for research and discovery. This part is very important, and it is the key to determine whether your readers are interested and patient enough to finish reading before the main body of the paper begins.

B, theoretical argument: I don't want to talk about this part. You know, the development of science is the order of hypothesis first and then demonstration.

C. Application value: What is the value of your hypothesis in supporting the development of pure mathematics system or in creating and solving practical problems in the field of applied mathematics? This part is the landing part, so it must be written beautifully.