nonidentity noun2 •Difference, distinction; failure to be identical.No scientific examiner would select only chance variations to establish nonidentity of two specimens when the fundamental points of identification stamp them as originating at a single source. — 1993 •An operator which modifies its operand, and which therefore is not the identity.Moreover, in a group of prime order p, every non-identity element (i.e. every element other than 1) has period p. — 1995 formsnonidentities