There are many synonyms for the phrase "consequently various definitions have been applied." Some possible alternatives include "as a result, different interpretations have been used," "therefore, multiple meanings have been assigned," and "thus, a variety of definitions have been employed." Other options may include "due to this, various understandings have been adopted," "accordingly, different definitions have been utilized," and "hence, several definitions have been applied." Ultimately, each of these phrases suggests that there is not a singular or universally accepted definition, and that multiple interpretations or definitions are possible.