I would like to build a mathematical concept map. The basic idea is that I want to be able to know, for any type of mathematical operation, what the underlying principles are for that operation. For example, if I had the operation:
I could use this concept map to see that raising a variable to a power n is the same as multiplying that variable by itself n times.
I’m sorry, as I know this question is a little ethereal, but are there any functions in Mathematica, maybe similar to FullSimplify but just going in the opposite direction, that could help me to break equations down into simpler components or concepts?
My goal with this would be to help me know, given a certain type of equation, what underlying principles I should know, first, in order to be able to work with that type of equation.
A related questions is here:
But what I am looking for is more a way to systematically find underlying mathematical concepts related to a certain expression.