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Mathematica > Core Language > Functional Programming >

Built-in Mathematica Symbol

Operate

Operate[p, f[x, y]]
gives p[f][x, y].

Operate[p, expr, n]
applies p at level n in the head of expr.

Operate[p, f[x]] effectively applies the functional operator p to the function f.

Operate is essentially a generalization of Apply, which allows you to apply an operator to the head of an expression, rather than simply to replace the head. »

Operate on the head of the expression with p:

Use a pure function:

Operate on the head of the expression with p:

Use a pure function:

Operate at level 1, the head of the expression (default):

Operate at level 2 (the head of the head of the expression):

Operate can be iterated:

Apply is a special case of Operate that replaces the head of the expression:

Operate followed by Through is a form of composition: