Only by using the correct mathematical model to solve and verify the correctness of the results can we study the object.
Prediction and control. A system or production process or research object can be large or small, as large as a society,
A factory is as small as a pupil's application problem.
Function is much simpler, it only describes the relationship between dependent variables and independent variables. In the mathematical model
Although the application of functions is indispensable, only functions cannot form mathematical models.
You ask: A function f(x) can explain a system, so is this function a model?
Answer: If you observe a sine wave, then the function y=sin(t) is the real' expression'.
The main features of the system, but this "model" is far from complete! At least it doesn't explain this model.
What are the constraints and goals?