heaviside function

noun
UK /ˈhɛvɪsaɪd ˈfʌŋkʃən/
US /ˈhɛvɪsaɪd ˈfʌŋkʃən/

A math rule that gives 0 for negative numbers and 1 for positive numbers.

The heaviside function jumps from 0 to 1 at zero.


OTHER MEANINGS

2. A function used in engineering to model a switch turning on at a certain time.

Engineers use the heaviside function to describe a circuit that switches on at t = 0.

3. A generalized function whose derivative is the Dirac delta function.

In distribution theory, the derivative of the heaviside function is the delta function.

4. A function named after Oliver Heaviside that equals H(x) = 0 for x < 0 and H(x) = 1 for x ≥ 0.

The heaviside function is often written as H(x) and plotted as a step.