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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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#4real -Travel Weekly, UK- European Tour Operators Assoc Prez says 'Olympic Games is a threat to travel and tourism' - http://bit.ly/3kmBFV
triphow (PLing) Fri, 06 Nov 2009 03:21:13 -0000
#4real -Travel Weekly, UK- European Tour Operators Assoc Prez says 'Olympic Games is a threat to travel and tourism' - http://bit.ly/3kmBFV
They should come to VT instead! RT @ski_news: British ski tour operators plea for lower prices in the Three Valleys http://bit.ly/1DAFcf
cgnyberg (Chris Nyberg) Fri, 06 Nov 2009 02:14:55 -0000
They should come to VT instead! RT @ski_news: British ski tour operators plea for lower prices in the Three Valleys http://bit.ly/1DAFcf
GEM: Ολοληρώθηκε η 19η Συνέλευση των Tour Operators της Ευρώπης http://bit.ly/mskG3
ValiaChasapi (Vasiliki Chasapi) Thu, 05 Nov 2009 23:20:48 -0000
GEM: Ολοληρώθηκε η 19η Συνέλευση των Tour Operators της Ευρώπης http://bit.ly/mskG3
British ski tour operators plea for lower prices in the Three Valleys http://bit.ly/1DAFcf
ski_news (Skiing News) Thu, 05 Nov 2009 20:57:07 -0000
British ski tour operators plea for lower prices in the Three Valleys http://bit.ly/1DAFcf
Time to add ETOA European Tour Operators Association to the list of worthwhile associations to join when get a moment (if a tour operator)
alexbainbridge (Alex Bainbridge) Thu, 05 Nov 2009 20:54:15 -0000
Time to add ETOA European Tour Operators Association to the list of worthwhile associations to join when get a moment (if a tour operator)
@aged British ski tour operators plea for lower prices in the Three Valleys - Merinet.Com: British ski tour operators plea for lower..
appetite (appetite) Thu, 05 Nov 2009 20:51:28 -0000
@aged British ski tour operators plea for lower prices in the Three Valleys - Merinet.Com: British ski tour operators plea for lower..

 
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