👉 In mathematics, a topwise function is a function that maps each element of a set to its position in the result. This means that if x is an element of a set S, then the value of the function f(x) at that point x is equal to the index i (where 1 ≤ i ≤ |S|) of the corresponding element in S. For example, consider the set S = {1, 2, 3} with elements {1, 2,