👉 In mathematics, a complex function is said to be absolutely continuous if it can be written as a ratio of two continuous functions. More formally, an absolutely continuous function \( f \) on a real interval \([a,b]\) is a function such that for every partition \( P \) of the interval \([a,b]\), there exists a sequence of intervals \(( I_k )_{k=1}^n \) such that \[ f(x) = \frac{g