👉 Ensemble math is a mathematical framework that studies the collective behavior of multiple interacting systems or components, often used to model complex phenomena where individual parts exhibit emergent properties not predictable from their individual behaviors alone. It combines concepts from probability theory, dynamical systems, and statistical mechanics to analyze how these interactions lead to macroscopic patterns, stability, or transitions in systems like weather patterns, neural networks, or economic markets. By aggregating local rules or interactions among components, ensemble math provides tools to predict system-level outcomes, assess robustness, and understand how global behavior arises from microscopic rules, bridging the gap between individual dynamics and collective phenomena.