stepwise function

noun
UK /ˈstɛpwaɪz ˈfʌŋkʃən/
US /ˈstɛpwaɪz ˈfʌŋkʃən/

A stepwise function is a math rule that stays flat for a while, then jumps to a new flat level.

The cost of stamps is a stepwise function: it stays the same for a while, then jumps up when the price changes.


OTHER MEANINGS

2. A function whose graph looks like a set of flat steps rather than a smooth line.

The graph of a stepwise function looks like a staircase going up or down.

3. A function that changes value only at certain points and stays constant in between.

A parking fee that charges by the hour is a stepwise function of time.

4. In statistics, a function that stays constant over intervals and jumps at boundaries.

The empirical distribution function is a stepwise function that rises by small jumps.