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I've never seen/heard a non-derogatory use of "brogrammer" -- maybe gkilmain will enlighten us with some use I'm not aware of (has it already been reclaimed by brogrammers making in-group use of the term?), but the connotations are overwhelmingly negative: http://www.urbandictionary.com/define.php?term=brogrammer

Yes. Remove everything after the word smart and add "(like most people in the programming profession)"

That doesn't capture what I think of when someone says "brogrammer". At the very least, I think it also denotes a strong sense of machismo, with a connotation of disrespect for others and boorishness. It's not a positive term, generally speaking.

I would define brogrammer as a programmer who acts like a (stereotypical) frat-boy.

You know, living to party, acting up in boorish ways.