step function

Abrupt value changes

A step function is a mathematical function that remains constant within intervals, then jumps abruptly to a new value—its graph resembles a staircase.

In broader use, step function describes any process that changes in discrete jumps rather than smoothly: The price increases were a step function, not gradual.

The term often appears in economics and engineering to model thresholds or sudden transitions.

Related

convolution · threshold · histogram · control systems · ladder · cutoff · all or nothing · on off switch · signal processing · pulse · binary · digital signal · signal · constant · on-off · trigger · digital · plateau

Categories
Opposites
continuity

step functionpolynomial function

Sum of variable powers

sine wave · exponential function · linear function

smoothness/differentiability

step functionbell curve

Normal distribution's shape

spline

rate of change

step functiongradual change

Slow, steady transformation

smooth transition · analog signal · fade · soft step

Family

step, function, footstep, stepping, doorstep, misstep, stepped, stepsister, stepwise

Familiarity
Top 500,000
Profile
Used worldwide · Timeless · Abstract · Rated G