Function

Function(body)

or

body &

represents a pure function with parameters #1, #2…

Function({x1, x2, ...}, body)

or

(body &)[x1, x2, ...]

represents a pure function with parameters x1, x2…

Function({x1, x2, ...}, body, attr)

assume that the function has the attributes attr.

See:

• Wikipedia - Pure function
• Wikipedia - Lambda calculus

Examples

>> f := # ^ 2 &
>> f(3)
9

>> #^3& /@ {1, 2, 3}
{1,8,27}

>> #1+#2&[4, 5]
9

You can use Function with named parameters:

>> Function({x, y}, x * y)[2, 3]
6

Parameters are renamed, when necessary, to avoid confusion:

>> Function({x}, Function({y}, f(x, y)))[y]

Related terms

Slot, SlotSequence

Implementation status

• ✅ - full supported

Github

• Implementation of Function