extremal properties

Extremal properties refer to the characteristics or behaviors of a system, function, or object that are at the highest or lowest possible value within a certain set or under specific conditions. For example, finding the largest or smallest result you can achieve in a problem. These properties help identify the boundaries or limits of what's possible, guiding optimization and decision-making. In mathematics, extremal properties often involve understanding the maximum or minimum of a function, which can reveal important insights about the system's behavior or constraints.