A non-finite clause is when a gerundive postmodifiers is used, which gets is name because they consist of a verb phrase that begins with the gerundive form of the verb. An example of an non-infinite clause is a "any of those [leaving on Thursday]."

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Head nouns can be followed by postmodifiers, which include three kinds, prepositional phrases, non-finite clauses, and relative clauses.

Words After the Head Noun

An on-going but a helpful book resource about NLP
https://web.stanford.edu/~jurafsky/slp3/

Speech and Language Processing (3rd ed. draft) 

An example of a prepositional phrase is "All flights  [from Cleveland]."

Prepositional phrase

Non-finite Clauses

A postnominal relative clause is a clause that often begin with a a relative pronoun. An example of a relative clause is  "a flight  [that serves]  breakfast"

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