Differential Operator
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A Differential Operator is a mathematical operator defined as a function of the differentiation operator.
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- Example(s):
- See: Schwarzian Derivative, Operator (Mathematics), Derivative, Higher-Order Function, Linear Map.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/differential_operator Retrieved:2015-11-7.
- In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function in computer science).
This article considers mainly linear operators, which are the most common type. However, non-linear differential operators, such as the Schwarzian derivative also exist.
- In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function in computer science).