English: F(x)=Pr{X≤x} is a cumulative distribution function of random variable X. U is a random variable uniformly distributed on [0,1]. In general, y=F(x) (0≤y≤1) does not necessarily have inverse function F^-1(y). However, we can define the inverse function by F^-1(y)=inf{x|F(x)≥y} since F(x) is non-decreasing and right-continuous. Thus, we can take F^-1(y) in the inversion method. F^-1(U) has the same distribution as X.