Prompt

"Generate an image representing the mathematical concept of Rényi entropy, a measure of uncertainty in information theory, statistics, and probability theory. Depict a stylized, abstract representation of entropy as a swirling, colorful vortex, with the formula H_α(X) = (1/(1-α)) log(Σ p_i^α) subtly integrated into the design. Incorporate a subtle pattern of fractals or information waves in the background, evoking the connections to statistical mechanics, quantum information theory, ecology, and machine learning. Use a blend of mathematical and abstract visuals to convey the concept's relationships to Shannon entropy, Hartley entropy, and Tsallis entropy."

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