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rem (n.)

"unit for measuring radiation," 1947, acronym of roentgen equivalent man.

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Definitions of rem from WordNet

rem (n.)
a recurring sleep state during which dreaming occurs; a state of rapidly shifting eye movements during sleep;
Synonyms: paradoxical sleep / rapid eye movement sleep / REM sleep / rapid eye movement
rem (n.)
(roentgen equivalent man) the dosage of ionizing radiation that will cause the same amount of injury to human tissue as 1 roentgen of X-rays;
From wordnet.princeton.edu