1. Establish an "equation (group)" model: tax payment, installment payment, discounted sales, growth rate, savings interest, engineering problems, travel problems, concentration and other issues. , can often be abstracted into an "equation" model and solved by column equations.

2. Establish an "unequal (group)" model: overall arrangement, marketing, production decision, approved price range and other issues. By analyzing some given data, the actual problem can be transformed into the corresponding inequality problem and solved by using the related properties of inequality.

3. Establish a "function" model: problems such as profit maximization, material price, optimal investment, cost minimization and scheme optimization can often be solved by establishing a function model.

4. Establish a "geometric model": When some graphic attributes such as surveying and mapping, navigation, architecture, engineering positioning and road arch bridge design are involved, it is often necessary to establish a "geometric model".

5. Establish a "statistical" model: practical problems are often transformed into "statistical" models for company recruitment, demographics, various bidding elections and other issues.

6. Establish a "probability" model: The fairness of the game, winning the lottery and predicting the team's victory and defeat can often be solved by establishing a probability model.

Model:

1, model assumption.

According to the characteristics of the object and the purpose of modeling, it is a crucial step to simplify the problem reasonably and make assumptions with accurate language. If we consider all the factors of the problem, this is undoubtedly a courageous but poor method.

Therefore, a superb modeler can give full play to his imagination, insight and judgment, and is good at distinguishing priorities. In order to make the handling method simple, he should try his best to linearize and homogenize the problem.

2. Model composition.

According to the assumptions made, the causal relationship of the object is analyzed, and the equation relationship between various quantities or other mathematical structures are constructed by using the internal laws of the object and appropriate mathematical tools. At this time, it will enter the vast world of applied mathematics.

There are many lovely children here at the knees of the elderly with high numbers and probabilities. They are graph theory, queuing theory, linear programming, game theory and many other theories. They are really a country with a vast territory and unique opinions. But we should remember that the mathematical model is established for more people to understand and apply, so the simpler the tool, the more valuable it is.