1. Abstraction: Mathematical model is an abstraction and simplification of the real world, which only keeps the main features of the problem and ignores the secondary factors. This abstraction makes the mathematical model reveal the essence of the problem better.
2. Accuracy: The mathematical model uses rigorous mathematical language to describe the problem, which makes it highly accurate. Through the mathematical model, we can accurately calculate and predict the problem.
3. Universality: Mathematical models can be used not only to solve specific problems, but also to solve a class of problems. This is because the mathematical model is universal, and we can apply it to other problems as long as the model is modified appropriately.
4. Logic: The establishment and use of mathematical models follow strict logic rules. This enables us to verify the correctness and effectiveness of the model through logical reasoning.
5. Quantifiable: The results of mathematical models are usually quantifiable, which allows us to evaluate the severity of the problem and the effect of the solution through numerical values.
6. Interpretability: Although the mathematical model is abstract, we can understand the meaning and results of the model through certain explanations. This makes the mathematical model have high practical value.
7. Optimizable: Mathematical models usually contain some parameters, and we can optimize the model by adjusting these parameters to make it better adapt to the actual situation.
Generally speaking, mathematical model is a powerful tool, which can help us understand and solve complex real-world problems.