Who ever thought that x^3 transformed into 2x^2 would be useful one day? Of course I'm being facetious in this example, but the simple rearrangement of the mathematical expression above has profound implications for how we interact with the world.
Yes I know that there is a whole derivation to the simple derivative example I've given, but who is to say that the 6174 transformation might have preceded an actual use?
Who's to say that this odd mathematical transformation actually leads to something useful one day?
I don't really see the connection. Your example is the derivative of a function, and what I am saying is that rearranging 1234 to 3421 doesn't mean anything to me.
Now you have some new number who's only relationship to the old number is that it's one of (432)-1 possible permutations of it. Other than that, what's the significance?
I don't really see the connection. Your example is the derivative of a function, and what I am saying is that rearranging 1234 to 3421 doesn't mean anything to me.
Now you have some new number who's only relationship to the old number is that it's one of (432)-1 possible permutations of it. Other than that, what's the significance?
Just because there is no name for this operation does not mean it is not valid (or meaningful). There are many mathematical constructs which do not have any physical meaning.
Yes I know that there is a whole derivation to the simple derivative example I've given, but who is to say that the 6174 transformation might have preceded an actual use?
Who's to say that this odd mathematical transformation actually leads to something useful one day?