0 to tell someone that you are sorry for having done something that has caused problems or unhappiness for them -- 道歉;认错;谢罪
Trains may be subject to delay on the northern line - we apologize for any inconvenience caused.
Imagine the humiliation of having to apologize.
She apologized profusely for having to leave at 3.30 p.m.
The author apologizes for not giving a broader exposition that could have included more of the important results in this field.
Based on our review of the literature, we identified seven apology terms (sorry, apologize, excuse, pardon, regret, afraid, forgive).
We apologize to the authors and readers for this error.