There are various synonyms for the word "normal extremal" depending on the context. In mathematical terms, the word "extremal" refers to a point where a function or equation takes its minimum or maximum value. Other synonyms for "extremal" include critical, optimal, and maximal. On the other hand, the word "normal" refers to a state that is typical or expected. In some contexts, synonyms for "normal" include natural, standard, and regular. When used together, "normal extremal" may describe a state where a system or process operates at an optimal level, which is typical or expected for a given set of conditions.