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.
Secondly, the data analysis method establishes a mathematical model from a large number of observation data through statistical methods.
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.
Third, simulation and other methods
1. computer simulation-essentially a statistical estimation method, equivalent to sampling test.
(1) discrete system simulation-there is a set of state variables.
(2) Continuous system simulation-there are analytical expressions or system structure diagrams.
2. Factor test method-local test of the system, and then continuous analysis and modification according to the test results to get the required model structure.
3. Artificial reality method-based on the understanding of the past behavior and future goals of the system, and taking into account the possible changes in related factors of the system, artificially form a system.