I apologize for...projecting my shortcomings on others. Sometimes these projections were rightfully so and sometimes they were not. Either way I apologize because it was not my intentions to hurt anybody. It takes a lot of courage to apologize in a sincere way. The fact that you do apologize shows that you are already a good person in your core. It does not matter if the apology is excepted. What matters is that there was an sincere apology and you should be proud for stepping out of your comforts zone and taking the courage to do so.