To publicly announce or accept that one possesses certain qualities or has attained a specific achievement or result. All she wanted was for her old boss to finally acknowledge her as the new director of the organization. The dissidents refused to acknowledge the new leader as legitimate.

To publicly announce or accept that one is correct in some position, action, or statement. After a lengthy interview with investigators, the suspect acknowledged the witness to be right. The finance department acknowledged Henry to be right about the accounting error.

To recognize, often formally, that something has been received, usually an item that has been delivered. Jason signed a form to acknowledge the receipt of the letter. Did you get a notification acknowledging receipt of your package?