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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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Guides and Charters :: Fishing
Harriman Ranch Outfitters - Offers guided horse back rides on high mountain trails, meadows, lakes, and streams on the border of the remote section of Yellowstone National Park.
Meta Description: [ Ride horses on the yellowstone border in Island Park, Idaho ]
Idaho Afloat - Offers whitewater rafting on the scenic Snake and Salmon Rivers. River trips for experienced rafters, first-timers and family trips.
Meta Description: [ Whitewater rafting & river rafting. Whitewater rafting trips with Idaho Afloat. Fishing & whitewater river adventure. Join Idaho Afloat on a whitewater river rafting trip on the Salmon & Snake Rivers. ]
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Lewis Clark Idaho Road Tours - Tours through North Central Idaho.
Meta Description: [ Offering Lewis and Clark Expedition guided tours, and information including Sacagawea, Nez Perce Indians, Lolo Trail, and north central Idaho history and travel. ]
Thousand Springs Tours and Outfitters - Snake River canyon tours. Information about cruises and reservation form.
Venture Outdoors - Educational wilderness trips into 7 ranges of Idaho. Mountain and road bike easy to challenging, hiking and multi-sports, backpack, sea kayak, scheduled or custom trips available.
Wilderness River Outfitters - Bicycle and rafting tours. Photos and online reservations available.
Meta Description: [ Bill Dvorak's Kayak & Rafting offers white water rafting trips in 6 states! Colorado river rafting trips are a specialty. Book your Colorado raft trip now! ]
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