The name Zamir corresponds to at least two different names.
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One is as the transliteration of the modern Israeli given name and surname, Hebrew: זמיר, meaning "singer" (rarely, for a male singer with a high pitched voice) or "nightingale". Examples are given below.
Another is as the male Muslim given name, Arabic: ضمیر , meaning "heart" or "conscience". This is properly transliterated as Ḍamīr, but commonly appears as Zamir or Zameer or Damir or Dameer. Examples are given below.
Zamir is a personal name among Albanians, where it literally means "good voice", from "za"= "voice" + "mir" = "good".
Zamir also appears as a personal name in south-Slavonic (formerly Yugoslav) culture. This may be a use of the Muslim name, but coincidentally in south Slavonic it could mean "for peace" ("za" = "for" + "mir"= "peace").