Damir is a common male given name in South Slavic languages, and occasionally in Russia (where it is usually a Muslim name). Theories on etymology differ - it may partly originate as a representation of the Muslim name, ضمیر , meaning "heart" or "conscience", otherwise pronounced Zamir. More probably it is of Slavic origin, with da meaning...
Found on http://en.wikipedia.org/wiki/Damir
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