independently Definition

1a. Not under the control or authority of others;
1b. Said especially of a country or state: completely self-governing.
2. Not relying on others for financial support, care, help or guidance.
3. Thinking and acting for oneself and not under an obligation to others.
4. math.
Not dependent on something else for value, purpose or function.
5. Said of two or more people or things: not related to or affected by the others.
6. Said of private income or resources: large enough to make having to work for a living unnecessary.

Example: a man of independent means
7. Not belonging to a political party.
8. Said of a school or broadcasting company: not paid for with public money; not belonging to the state system.

1. A politician, etc who is not a member of any party.
2. An independent person or thing. See also indie.

In an independent manner.
Thesaurus: alone, individually, solo, unaided; Antonym: together.