Heaviside theta function | unit step function

The Heaviside step function is a mathematical function denoted H(x), or sometimes θ(x) or u(x), and also known as the "unit step function." The term "Heaviside step function" and its symbol can represent either a piecewise constant function or a generalized function. When defined as a piecewise constant function, the Heaviside step function is given by H(x) = {0 | x<0 1/2 | x = 0 1 | x>0 auto right match (Abramowitz and Stegun 1972, p. 1020; Bracewell 2000, p. 61). The plot above shows this function, and how it would appear if displayed on an oscilloscope.

absolute value | boxcar function | delta function | ramp function | rectangle function | sigmoid function | sign | square wave | triangle function