Step function
Definition
A step function is a piecewise-defined function that jumps from one constant value to another at specific intervals. It resembles a series of steps on a staircase.
Analogy
Imagine you are climbing up or down a staircase, and each step has the same height. The step function is like the height of each individual step, remaining constant until you reach the next one.
Related terms
Piecewise Function: A piecewise function is defined by different formulas or rules for different parts of its domain. Step functions are an example of piecewise functions.
Heaviside Function: The Heaviside function is a specific type of step function that equals zero for negative inputs and one for positive inputs.
Discrete Function: A discrete function takes on distinct values rather than forming continuous curves. Step functions are examples of discrete functions due to their abrupt changes in values.
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