If you acknowledge a fact or a situation, you accept or admit that it is true or that it exists. 承认 (事实或情况)
verb [vt. 及物动词]承认;认可; 跟…打招呼,理会;告知收到;(公开)感谢
If someone's achievements, status, or qualities are acknowledged, they are known about and recognized by a lot of people, or by a particular group of people. 认可 (某人的成就、地位或品质)