Very nice! Coming back to this discussion after a few hours, I see that many of the comments are more concerned with not apologizing than on apologizing. It's

Very nice! Coming back to this discussion after a few hours, I see that many of the comments are more concerned with not apologizing than on apologizing. It's your loss, folks! Having the confidence to know when an apology is appropriate and to apologize properly and sincerely, is not a humiliation but a reflection of your own strength of character.