Yes, and the definition of a measurable map is a function between two measure spaces which takes measurable sets to measurable sets, i.e.: a structure-preserving map between measure spaces. I stopped reading after that. I have no need to defend my mathematical knowledge, and no time to listen to someone who wants me to.
I sincerely apologize for my above post; I did not realize I was dealing with a troll.
"Yes, and the definition of a measurable map is a function between two measure spaces which takes measurable sets to measurable sets, i.e.: a structure-preserving map between measure spaces."
That's not at all what I wrote. You really don't even know how to read a definition in math, do you? Do you know any math at all?
You are wrong again; a counterexample is trivial to construct.
Here you have no need to defend your knowledge of math in general, just on one point, the definition of a random variable.
You are seriously, flatly wrong mathematically. Name calling and refusing to read won't make your nonsense correct.
Enjoy looking like a fool before the world of computing, forever.
I sincerely apologize for my above post; I did not realize I was dealing with a troll.