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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
Backcountry Outfitters - Offers guided horseback tours into the Eagle Cap Wildereness, the Wallowa Mountains, Hells Canyon Recreation Area and the Blue Mountains.
Columbia Crossroads Inc. - Offers packaged travel, meetings, conventions and event planning for the Pacific NW.
Meta Description: [ Your experts in packaged travel, meetings, conventions and event planning for the Pacific NW ]
Destination Wilderness - Whitewater rafting and fishing vacations in Oregon, California, Idaho, and Alaska. Highlighting trip descriptions and rates.
Meta Description: [ Oregon rafting, family rafting, Oregon whitewater rafting, Alaska adventure travel vacations, Rogue river rafting, Salmon river rafting, Oregon river rafting, white water rafting, salmon fishing trips, and adventure travel in Oregon, Idaho, Alaska, California, Hawaii, Norway, and beyond. ]
Hurricane Creek Llama Treks - Fully-outfitted llama pack trips into the Eagle Cap Wilderness, and Hells Canyon. Drop camp services and llama rental. June-September.
Meta Description: [ Enjoy a llama packing adventure into Oregon's finest wilderness areas. Hike with only a day pack while llamas handle the heavy loads including supplies for delicious backcountry meals. ]
Oregon Ridge and River Excursions - Whitewater rafting in southern Oregon on the North Umpqua River. Class III+ rafting and kayaking, plus canoe expeditions, mountain biking, and hiking.
Meta Description: [ Oregon Ridge & River Excursions offering dailey Oregon White Water Rafting on the North Umpqua River, inflatable kayaking, paddle rafting, river side camping, canoeing, mountain biking,
waterfall hikes, and lodging. Located near Crater Lake & swiftwater park, along the North Umpqua River. Come ... ]
Oregon River Experiences - Offering trips on rivers throughout the Pacific Northwest.
Meta Description: [ Whitewater rafting trips in Oregon and Idaho on ten rivers. ]
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Pacific Northwest Sightseeing Tours - Sightseeing tours offering trips around the Northwest. Activities include whalewatching, hiking, camping, wine tours, and event coordination.
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