Prompt

A mathematical illustration of the asymptotic equipartition property (AEP) in information theory, depicting a graph or diagram that shows how the probability distribution of a sequence of i.i.d. random variables converges to a uniform distribution as the sequence length increases, with axes labeled "sequence length (n)" and "probability", and a caption "-1/n log P(X1,...,Xn) converges to entropy as n increases", in a style that blends mathematical formalism with informative visualization, incorporating elements of probability theory and statistical mechanics.

Image by stabilityai/stable-diffusion-3.5-large-turbo