∁ (complement)

Gives the complement of a set.

Syntax

• ∁A

  • A is a set

Description

If A is a set, then ∁A is the complement of A. To compute ∁A, Algosim needs to know the universe; this is given by the universe variable. If this variable exists and is a set, then ∁A returns universe ∖ A. Otherwise, an error is raised.

The set complement operator ∁ is implemented by the complement function.

Examples

universe ≔ ToSet(SequenceList(0, 10))

{8, 6, 10, 2, 9, 3, 4, 5, 1, 7, 0}

A ≔ { 1, 2, 3, 4, 5 }

{4, 5, 1, 2, 3}

∁A

{7, 6, 10, 9, 8, 0}

See also

• Set operators (list)