Acknowledge (verb)

1. To recognize the rights, authority, or status of.
2. To show recognition or appreciation of.

Origin:

Middle english aknowlechen, from anglo-french aknowlechier, from a- + knowlechier to acknowledge.

Examples:

1. He acknowledged her presence with a nod.
2. The company acknowledged the mistake and apologized.
3. She acknowledged the receipt of the letter.
4. The government acknowledged the need for a new policy.
5. The winner acknowledged the applause of the audience.