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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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@adpugh it's going to be an interesting year for mobile. Apple & Google rewriting the rulebook on behalf of the operators
adambird (Adam Bird) Wed, 06 Jan 2010 12:36:18 -0000
@adpugh it's going to be an interesting year for mobile. Apple & Google rewriting the rulebook on behalf of the operators
Navy owners' and operators' manual - http://bit.ly/8j8Lpb
FlexPlexico (Flex Plexico) Wed, 06 Jan 2010 12:36:13 -0000
Navy owners' and operators' manual - http://bit.ly/8j8Lpb
@YV4ABC QSL! Join us International FaceBook Ham Radio Operators. We are planning a QSO Party very soon!
s21rp (Habib) Wed, 06 Jan 2010 12:34:54 -0000
@YV4ABC QSL! Join us International FaceBook Ham Radio Operators. We are planning a QSO Party very soon!
Travel websites crash as thousands log on to check snow disruption: Telegraph.co.uk Some train operators' websites... http://bit.ly/8QfdkB
tearle2k (Tearle Brown) Wed, 06 Jan 2010 12:23:23 -0000
Travel websites crash as thousands log on to check snow disruption: Telegraph.co.uk Some train operators' websites... http://bit.ly/8QfdkB
Oldcastle: Operators - Drivers (Houston, TX) http://bit.ly/1eP1rk #Jobs #TweetMyJOBS
tmj_hou_transp (TMJ-HOU Transp. Jobs) Wed, 06 Jan 2010 12:03:07 -0000
Oldcastle: Operators - Drivers (Houston, TX) http://bit.ly/1eP1rk #Jobs #TweetMyJOBS
CCTV operators enjoyed a: Cambridge News CCTV operators enjoyed a change from monitoring crime and anti-social beh... http://bit.ly/59aqE2
doggytrain (Doggy Train) Wed, 06 Jan 2010 12:01:55 -0000
CCTV operators enjoyed a: Cambridge News CCTV operators enjoyed a change from monitoring crime and anti-social beh... http://bit.ly/59aqE2

 
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