independently

/ˌɪndɪˈpɛndəntli/
adverb
  1. In a way that is free from outside control or influence; without relying on others.
    • She learned to live independently after moving to a new city.
    • The two scientists independently arrived at the same conclusion.
    • He prefers to work independently rather than as part of a team.
  2. Without being connected or related to something else; separately.
    • The events happened independently, with no connection between them.
    • Each department operates independently of the others.
    • The parts of the machine can function independently.