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What is mathematical modeling?
Mathematical modeling is to establish a mathematical model according to actual problems, solve the mathematical model, and then solve the actual problems according to the results.

When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.

Mathematical modeling is to establish a mathematical model, and the process of establishing a mathematical model is the process of mathematical modeling. Mathematical modeling is a mathematical thinking method, and it is a powerful mathematical means to describe and "solve" practical problems by using mathematical language and methods through abstraction and simplification.

Extended data:

The model is derived from the basic physical laws and the structural data of the system.

1. Proportional analysis-the most basic and commonly used method to establish the functional relationship between variables.

2. Algebraic method-the main method to solve discrete problems (discrete data, symbols, graphics).

3. Logical method-an important method of mathematical theory research, is widely used in the decision-making and countermeasures of practical problems in sociology and economics.

4. Ordinary differential equation-The key to solving the change law between two variables is to establish the expression of "instantaneous change rate".

5. Partial differential equation-solving the change law between the dependent variable and more than two independent variables.

A mathematical model is established from a large number of observation data by statistical method.

1. regression analysis method-function expression (xi, fi) i = 1, 2 ... n of function f(x) used to determine a set of observations. Because it deals with static independent data, it is called mathematical statistics method.

2. Time series analysis-dealing with dynamic related data, also known as process statistics.

3. Regression analysis method-used to determine the expression of the function from a set of observed values (xi, fi)i= 1, 2…n of the function f(x). Because it deals with static independent data, it is called mathematical statistics method.

4. Time series analysis-dealing with dynamic related data, also known as process statistics.

References:

Baidu Encyclopedia-Mathematical Modeling