Why a sentence can use '-ing' verb without prepositional phrase? [duplicate]

Solution 1:

[1] A regular expression is a pattern [describing a certain amount of text].

[2] A regular expression is a pattern [that describes a certain amount of text

In both examples the expression in brackets is a modifier in noun phrase structure, where it modifies "pattern".

They are semantically similar, but in [1] it's a gerund-participial clause, while in [2] it's a relative clause.

We don't call [1] a relative clause since there is no possibility of it containing a relative phrase (cf. *a pattern which describing a certain of ...).