Idempotence

A function is idempotent if .

Examples

• Any constant function is idempotent.
• The function is idempotent.
• The signum function is idempotent.
• The absolute value function is idempotent.
• The greatest integer function is idempotent, as is the least integer function.
• Unions and intersections are idempotent, as and are both equal to .

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