You're thinking of the word conceited, which means arrogant or vain.
I believe you mean a conceited person. This is someone who has a high opinion of themselves.
You may mean 'conceded' which means you gave up something.
I would rather say that if the person talks about how intelligent they are then i for an adult call it conceded.
Say to the vain person "Shut the hell up you conceded a** wipe."
Conceded means to reluctantly accept that something is true. For example, someone may tell you something that is really crazy, but you trust this person and respect them so you conceded that it was true.
It's the total goals the team has scored minus the total goals the team has conceded. Say a team scored a total of 7 goals in 3 games (for example) and conceded a total of 4. The goal difference is 7-4=3.
The homonym for conceited is conceded.
It would be mean to say to someone, "You have no soul."
When you say someone is hard boiled you basically mean that he is very difficult to deal with.
You say you're sorry.
Don't know what a "conceded run" is. If you mean the defense ignored the runner who scored by not making a play on him, it could be an RBI for the batter if he put the ball in play to score the run.
It usually means that you are thinking of that person. Wether you are aware of it or not.