Examples
- The forward difference operator
- is a delta operator.
- Differentiation with respect to x, written as D, is also a delta operator.
- Any operator of the form
-
- (where Dn(ƒ) = ƒ(n) is the nth derivative) with is a delta operator. It can be shown that all delta operators can be written in this form. For example, the difference operator given above can be expanded as
- The generalized derivative of time scale calculus which unifies the forward difference operator with the derivative of standard calculus is a delta operator.
- In computer science and cybernetics, the term "discrete-time delta operator" (δ) is generally taken to mean a difference operator
- the Euler approximation of the usual derivative with a discrete sample time . The delta-formulation obtains a significant number of numerical advantages compared to the shift-operator at fast sampling.
Read more about this topic: Delta Operator
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