Breadth Formula in Information Theory and Diversity Metrics #3301566 (License: Personal Use)

This equation defines "breadth" as the reciprocal of the sum of squared probabilities (pᵢ²) across s categories, commonly used in ecology, information theory, and machine learning to measure species evenness or feature distribution uniformity. It is closely related to the Simpson index and effective number of types, where higher breadth indicates greater diversity or balance among components.

Used in academic papers, statistical software documentation, and educational resources on biodiversity metrics, entropy measures, and classification model evaluation; serves users seeking formal definitions for research or implementation.