In mathematics, an operator is a function, usually of a special kind depending on the topic. For instance, in linear algebra an "operator" is a linear operator. In analysis an "operator" may be a differential operator, generalizing the ordinary derivative, or an integral operator, generalizing ordinary integration. Often, an "operator" is a function that acts on functions to produce other functions; or it may be a generalization of such a function, as in linear algebra, where some of the terminology reflects the origin of the subject in operations on the functions that are solutions of differential equations. One often thinks of an operator as dynamic, changing something into something else, whence the name; but this is only a way of thinking and not a formal definition.

An operator name or operator symbol is a notation that denotes a particular operator. When there is no danger of confusion, an operator name or operator symbol may be referred to more briefly as an "operator". Strictly speaking, however, the operator is a mathematical object and not the syntactic entity that denotes it. The reason for identifying it with its notation is that there are some operators that have come to have standard notations.

An example of an operator, specifically a differential operator, is the derivative itself. The corresponding operator name D, when placed before a differentiable function f, indicates that the function is to be differentiated with respect to the variable.

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Monster croc attacked tourist boat: TOUR operators face a safety probe after a 5m croc bit a boat railing, sending t... http://bit.ly/4izuFt
news_travel (traveldesk) Sat, 07 Nov 2009 02:26:24 -0000
Monster croc attacked tourist boat: TOUR operators face a safety probe after a 5m croc bit a boat railing, sending t... http://bit.ly/4izuFt
Monster crocodile attacked Daintree tourist boat: By Peter Michael TOUR operators on the Daintree River face a .. http://bit.ly/pzBWo
tallsailboats (martin) Fri, 06 Nov 2009 22:50:34 -0000
Monster crocodile attacked Daintree tourist boat: By Peter Michael TOUR operators on the Daintree River face a .. http://bit.ly/pzBWo
Minister criticises 'bizarre behaviour' of tour operators http://bit.ly/2vn4Nh
CruiseShipGuru (Dave Kirkland) Fri, 06 Nov 2009 20:09:56 -0000
Minister criticises 'bizarre behaviour' of tour operators http://bit.ly/2vn4Nh
Minister criticises 'bizarre behaviour' of tour operators - The Tribune http://bit.ly/vGDcZ #Carnival #Trinidad
izatrini (izatrini.com) Fri, 06 Nov 2009 19:36:41 -0000
Minister criticises 'bizarre behaviour' of tour operators - The Tribune http://bit.ly/vGDcZ #Carnival #Trinidad
NEWS TOUR operators on the Daintree River face a safety probe after monster 5m croc attacked a tourist boat http://bit.ly/22fdkt
QLDWhitsundays (Whitsundays Online) Fri, 06 Nov 2009 19:36:02 -0000
NEWS TOUR operators on the Daintree River face a safety probe after monster 5m croc attacked a tourist boat http://bit.ly/22fdkt
RT @argentinatours: according to local tour operators & small luxury hotels, leisure travel is up in Argentina, business travel is stable.
TMBTravel (Tim Burke) Fri, 06 Nov 2009 19:34:51 -0000
RT @argentinatours: according to local tour operators & small luxury hotels, leisure travel is up in Argentina, business travel is stable.

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