Examples of Functional Operators
A functional operator in Maple is a special form of a procedure. Functional operators are written using arrow notation:
vars → result
For basic information, see Functional Operators. The following examples demonstrate the different types of functional operators that you can use in Maple.
First, define a basic operator on a single variable x and apply it using function notation.
In this example, empty parentheses denote that the operator returns 1, no matter what the input.
Note that in 1-D Math input, an operator can always be applied by using function notation. However, in 2-D Math input, when the operator is also of type atomic, you must use the apply command. This is because 1x is interpreted as multiplication in 2-D math rather than function application. For more information, including how to change this default behavior, see 2DMathDetails.
Similarly, this multivariate operator returns 3.14, no matter what the input.
Operators can be applied without assigning them a name.
Operators are distributive.
Use the composition operator @ to perform operator composition. That is, f@g means f∘g.
Repeated composition is entered with the @@ operator. Here, a function is composed with itself.
@, @@, 2-D Math Details, apply, D, Functional Operators, unapply
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