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Is the mathematical model the same as mathematical modeling? What is the important difference?
The whole process of establishing mathematical model is called mathematical modeling.

As for course selection, there should be no difference between "mathematical model" and "mathematical modeling", but when making a lesson plan, the teacher can only report the course to the mathematical model, but not to the mathematical modeling. But in the first class of this course, the teacher will explain these two terms to you In class, it is a teaching process of establishing mathematical models.