independently

US /ˌɪn.dɪˈpen.dənt.li/
UK /ˌɪn.dɪˈpen.dənt.li/
"independently" picture
1.

without being influenced or controlled by others in matters of opinion, conduct, etc.

:
She decided to live independently after college.
The two teams worked independently on the same problem.
2.

without connection with each other; separately

:
The results were obtained independently by two different labs.
These two events occurred independently of each other.