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From: Webster's Revised Unabridged Dictionary (1913)

 ef·fi·cience ef·fi·cien·cy n.
 1. The quality of being efficient or producing an effect or effects; efficient power; effectual agency.
    The manner of this divine efficiency being far above us.   --Hooker.
 2. Mech. The ratio of useful work to energy expended.
 efficiency of a heat engine, the ratio of the work done by an engine, to the work due to the heat supplied to it.