In linguistics, transitivity is a property of verbs that relates to whether a verb can take objects and how many such objects a verb can take. It is closely related to valency, which considers other verb arguments in addition to direct objects. The obligatory noun phrases and prepositional phrases determine how many arguments a predicate has. Obligatory elements are considered arguments while optional ones are never counted in the list of arguments.
Traditional grammar makes a binary distinction between intransitive verbs, which cannot take a direct object (such as fall or sit in English), and transitive verbs, which take a direct object (such as throw, injure, or kiss in English). In practice, many languages (including English) also have verbs that have two objects (ditransitive verbs) or even verbs that can be used as both a transitive verb and an intransitive verb (ambitransitive verbs, for example She walked the dog and She walked with a dog).
In functional grammar, transitivity is considered to be a continuum rather than a binary category as in traditional grammar. The "continuum" view takes a more semantic approach. One way it does this is by taking into account the degree to which an action affects its object (so that the verb see is described as having "lower transitivity" than the verb kill).
The notion of transitivity, as well as other notions that today are the basics of linguistics, was first introduced by the Stoics and the Peripatetic school, but they probably referred to the whole sentence containing transitive or intransitive verbs, not just to the verb. The discovery of the Stoics was later used and developed by the philologists of the Alexandrian school and later grammarians.
Many languages, such as Hungarian, mark transitivity through morphology; transitive verbs and intransitive verbs behave in distinctive ways. In languages with polypersonal agreement, an intransitive verb will agree with its subject only, while a transitive verb will agree with both subject and direct object.
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An ambitransitive verb is a verb that is both intransitive and transitive. This verb may or may not require a direct object. English has many ambitransitive verbs. Examples include read, break, and understand (e.g., "I read the book", saying what was read, or just "I read all afternoon"). Ambitransitive verbs are common in some languages, and much less so in other languages, where valency tends to be fixed, and there are explicit valency-changing operations (such as passive voice, antipassive voice, applicatives, causatives, etc.
In linguistics, polypersonal agreement or polypersonalism is the agreement of a verb with more than one of its arguments (usually up to four). Polypersonalism is a morphological feature of a language, and languages that display it are called polypersonal languages. In non-polypersonal languages, the verb either shows no agreement at all or agrees with the primary argument (in English, the subject). In a language with polypersonal agreement, the verb has agreement morphemes that may indicate (as applicable) the subject, the direct object, the indirect or secondary object, the beneficiary of the verb action, etc.
In linguistics, an unaccusative verb is an intransitive verb whose grammatical subject is not a semantic agent. In other words, the subject does not actively initiate, or is not actively responsible for, the action expressed by the verb. An unaccusative verb's subject is semantically similar to the direct object of a transitive verb or to the subject of a verb in the passive voice. Examples in English are "the tree fell"; "the window broke".
The aim of this manuscript is to provide a complete and precise formula- tion of the renormalization picture for perturbative Quantum Field Theory (pQFT) on general curved spacetimes introduced by R. Borcherds in [10]. More precisely, we give a full proof ...