politically, i think apologizing comes across as strength of character, it shows responsibility for actions, even though i don't believe the politicians are truly contrite for what they do and it actually comes across as a waste of time.
on an everyday human level, to oversimplify things, if you are wrong and you know it, you should apologize. it's not weak or strong, it's saying "i understand what i did was not right and i regret doing it because of the harm it caused." again, it shows you take responsibility for your actions.
that said, i think it depends on the situation. in some instances, apologizing seems to make it worse, because it re-opens the wound, the other person might take it as some kind of manipulative gesture, the other person might just want to forget it and move on.
that said, in most situations, i think if you are wrong and you don't apologize, it comes across as arrogance and a "you are beneath me" sort of feeling.
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onward to mayhem!
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