Prompt

"Generate an image representing the concept of Hellinger distance, a statistical distance measure between two probability distributions. Depict a symmetrical, abstract mathematical landscape with two curves or shapes, representing the probability distributions P and Q, with a distance metric visualized between them, scaled from 0 to 1. Incorporate elements that signify the square root and summation in the formula H(P,Q) = (1/√2) * sqrt(∑ (√p_i - √q_i)^2). The style should be reminiscent of mathematical illustrations, with clear, simple lines and a focus on conveying the abstract concept rather than realistic representation."

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