I came across this question. It shows two nice formulas for finding max and min without comparison. I find the formulas beautiful because they do not use comparisons.
I am not sure whether my question is stated correctly, but I am interested in finding such nice formulas for maybe other functions as well such as abs, round, floor, truncate, sqrt ... etc
What is this area of mathematics called? Could you provide pointers for related papers or books on this topic.