Before the competition, the three people should find more opportunities to discuss the modeling topics in previous years together, and complete the papers according to a clear division of labor to ensure that the competition can be completed in an orderly manner. The process of establishing a mathematical model for a specific objective object is to construct a representation of a realistic phenomenon that can grasp its important and useful characteristics through mental activities.
It is often an intuitive or symbolic representation, and it is a scientific method to construct a mathematical model to describe the prototype of objective things and use it to analyze, study and solve practical problems. Mathematical models can be divided into different types from different angles.
Contents of mathematical modeling:
According to the mathematical method of establishing the model, it is mainly divided into the following models: geometric model, algebraic model, programming model, optimization model, differential equation model, statistical model, probability model, graph theory model, decision model and so on.
The process of mathematical modeling is to express the actual problem into a mathematical problem with mathematical language, mathematical concepts and mathematical symbols after analysis, abstraction and generalization. What kind of problem is expressed depends on the thinker's intention to solve the problem. Analogy modeling is generally based on the concrete analysis of various factors of this practical problem.