
You now have two explanations about the grammatical role of "given". Under this interpretation, the grammatical role of "given" is to form an adjectival participial phrase.
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Sample code: import spacyudpipe, spacy, pytextrank spacyudpipe.download ('en') download English model text 'Compatibility of systems of linear constraints over the set of natural numbers. It works just like Noun Project’s Mac App, and if you’re a NounPro subscriber you will have access to unlimited icons and the same customization tools. Just as the prepositional phrase modifies the participle that precedes it, the participial phrase modifies the noun that precedes it. Pytextrank keywords are taken from the spacy doc.nounchunks, but if the nounchunks are not generated, pytextrank doesnt work. Then, navigate to Window > Extensions > Noun Project to launch the Noun Project extension window.

Instead, in this case it takes a prepositional phrase as an adjunct or adverbial modifier, forming a participial phrase. As a non-finite form, it has no tense, forms no predicate, and takes no subject. "Given" is a non-finite form of the verb to give. Delving deeper, the preposition "for" takes "this project" as its object, and the demonstrative adjective "this" modifies the common noun "project". It is formed by the so-called past participle "given", which is modified by the prepositional phrase "for this project". This noun has two direct modifiers: the adjective "no" and the participial phrase "given for this project". "No extensions given for this project" is a coherent noun phrase, and the keyword noun is "extensions". Under this interpretation, the grammatical role of "given" is to be a part of the passive future construction "will be given". Falling in love with this site called The Noun Project which collects, organizes and adds to the highly recognizable symbols that form the world’s visual language, so we may share them in a fun way. Godel9 has already posted an answer under this assumption, showing one active voice equivalent of the passive voice interpretation.

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If it is not a coherent phrase, then "no extensions" acts as either subject or complement on its own, "given" is free to be part of the verb of the clause, and "for this project" is an adverbial prepositional phrase. This inversion is triggered by the existential semantics of "there". If we regard "there" as an intransitive preposition, then it is the subject complement, the long phrase is the subject and the clause is in inverted order. If we regard "there" as a pronoun and a subject, then "no extensions given for this project" is a subject complement and the clause is in canonical order. If it is a coherent phrase, the entire phrase "no extensions given for this project" has a grammatical role.
