Category:Definitions/Heaviside Step Function

This category contains definitions related to the Heaviside step function.
Related results can be found in Category:Heaviside Step Function.

Let $c \ge 0$ be a constant real number.

The Heaviside step function on $c$ is the real function $u_c: \R \to \R$ defined as:

$\map {u_c} t := \begin{cases}

1 & : t > c \\ 0 & : t < c \end{cases}$

If $c = 0$, the subscript is often omitted:

$\map u t := \begin{cases}

1 & : t > 0 \\ 0 & : t < 0 \end{cases}$