Definition:Step Function/Definition 1

Definition

A step function is a real function whose graph consists entirely of unconnected horizontal line segments.

Examples

Floor Function

The floor function is an example of a step function:

Also see

• Equivalence of Definitions of Step Function

• Results about step functions can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): step function
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): step function