Misra's theorem

Misra's theorem is a concept in measure theory, which deals with how to assign sizes or measures to complex sets. It states that under certain conditions, when you partition a set into smaller parts (called a covering), the sum of the measures of these parts approximates the measure of the whole set as closely as you like. In essence, it formalizes how complex shapes can be closely approximated by simpler parts, ensuring that the measure of the whole can be understood through its parts, which is fundamental in integrating functions and analyzing their behavior in mathematics.