Sorry means...
You did not
mean what you did.
You won't do it again.
You aren't seeking to gain
anything out of the word and take full responsibility and consequences.
You respect what the other
person wants because you hurt them. It won't be the same.
Actions over words.
EXAMPLE:
You left someone out of an invite to your
party.. you say 'sorry'.. they
don't invite you to their
party, but you didn't say 'sorry' just to go to their party so you understand their decision, if you are truly sorry.