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The Collaborative International Dictionary of English v.0.48:

Operator \Op"er*a`tor\, n. [L.] 1. One who, or that which, operates or produces an effect. [1913 Webster] 2. (Surg.) One who performs some act upon the human body by means of the hand, or with instruments. [1913 Webster] 3. A dealer in stocks or any commodity for speculative purposes; a speculator. [Brokers' Cant] [1913 Webster] 4. (Math.) The symbol that expresses the operation to be performed; -- called also facient. [1913 Webster] 5. A person who operates a telephone switchboard. [PJC] 6. A person who schemes and maneuvers adroitly or deviously to achieve his/her purposes. [PJC]
The Collaborative International Dictionary of English v.0.48:

Facient \Fa"cient\, n. [L. faciens, -- entis, p. pr. of facere to make, do. See Fact.] 1. One who does anything, good or bad; a doer; an agent. [Obs.] --Bp. Hacket. [1913 Webster] 2. (Mach.) (a) One of the variables of a quantic as distinguished from a coefficient. (b) The multiplier. [1913 Webster] Note: The terms facient, faciend, and factum, may imply that the multiplication involved is not ordinary multiplication, but is either some specified operation, or, in general, any mathematical operation. See Multiplication. [1913 Webster]