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What is the difference between understanding, mastering and applying advanced mathematics?
Understanding, mastery and application of advanced mathematics are three different concepts, and there are the following differences between them:

Understanding: Understanding refers to the in-depth understanding and understanding of the concepts, formulas and theorems of higher mathematics, including their meaning, proof process and scope of application. Only by deeply understanding the basic concepts of advanced mathematics can it be better applied.

Mastery: Mastery refers to mastering the concepts, formulas and theorems of advanced mathematics and being able to apply them flexibly to practical problems. Mastering advanced mathematics requires a lot of practice and practice. Only through repeated practice can we really master it.

Application: Application refers to applying the concepts, formulas and theorems of advanced mathematics to practical problems and solving practical problems. The application of advanced mathematics needs to combine practical problems, transform abstract concepts and methods into concrete mathematical models, and use mathematical tools to analyze and solve them.

Therefore, the understanding, mastery and application of advanced mathematics are interrelated and interactive. Only when they reach a certain level in three aspects can they really master advanced mathematics.