The notation 'np → det n' represents a phrase structure rule in linguistics that describes how a noun phrase (NP) can be constructed from a determiner (det) followed by a noun (n). This rule is fundamental in understanding how sentences are structured, as it illustrates the relationship between these components within a noun phrase. It highlights how determiners, like 'the' or 'a', function to specify nouns, creating meaningful phrases that can serve as subjects, objects, or complements in sentences.