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FilledSmallSquare$MachineDomain is a string which gives the name of the network domain for the computer on which Mathematica is being run, if such a name is defined.

FilledSmallSquare$MachineDomain is "" if no name is defined.

FilledSmallSquare See The Mathematica Book: Section 2.13.5.

FilledSmallSquare See also: $MachineName, $MachineID.