Accept is a verb and it, generally, means to take or to receive, such as to take possession or to receive in an approving manner. It can also mean, generally, to agree to or to accede to, such as in accepting terms in regards to a contract, or to accept an apology. There are other less frequently used definitions such as in responding in an affirmative manner, such as in accepting a promotion. The word accept in other contexts can be defined as to reconcile oneself, such as to “accept that one will never be a millionaire”, to regard as true, such as “he accepted my interpretation of the sales figures”, and to admit formally, such as “he was accepted for admission to Harvard University”. In regards to project management terminology, accept can refer to the agreement to take on a particular assignment or a specific role within said assignment.
This term is defined in the 3rd edition of the PMBOK but not in the 4th.