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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luxurytravells (Luxury Traveler) Tue, 08 Dec 2009 08:29:20 -0000
Tour operators repackage Dubai to keep the tourists coming - Emirates Business 24/7 http://twa.lk/mc5uj
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SamanthaDancy ( Samantha Dancy) Tue, 08 Dec 2009 07:26:04 -0000
Tour operators repackage Dubai to keep tourists coming: http://tinyurl.com/ydufnoo (via Emirates Business 24/7)
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Price of a Dubai holiday falls by 40%: Tour operators slash prices in bid to attract more tourists in 2010 http://bit.ly/6LARoV
HotelierME (Hotelier Middle East) Tue, 08 Dec 2009 06:15:02 -0000
Price of a Dubai holiday falls by 40%: Tour operators slash prices in bid to attract more tourists in 2010 http://bit.ly/6LARoV
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HotelierIndia (Hotelier India) Tue, 08 Dec 2009 05:55:54 -0000
Price of a Dubai holiday falls by 40%: Tour operators slash prices in bid to attract more tourists in 2010 http://bit.ly/6NtsNo

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