👉 In mathematics, the term "transpositively" refers to a function that is one-to-one but not necessarily onto. More precisely, it means that for every element in the codomain of the function, there exists exactly one corresponding element in the domain. For example, consider the function f: Z → Z defined by f(x) = x^2 - 1. This function is transpositively defined because for any integer a and b, we have: f(a + b) =