Sentence 1: Extremal states are usually called extremal states . Note that a state is a pure state if and only if it is convex in the pure set of states .
Sentence 2: Extremal states are usually called extremal states . Note that a condition is a pure state if and only if it is convex in the pure state group .
Question: Do Sentence 1 and Sentence 2 express the same meaning? Yes or No?