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