Definition:Heaviside Step Function

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

The Heaviside step function is defined as:


 * $\mu_c \left({t}\right) = \begin{cases}

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

There is no universal convention for the value of $\mu_c \left({c}\right)$.

However, since $\mu_c$ is piecewise continuous, the value of $\mu_c$ at $c$ is usually irrelevant.

Also known as
This is also called the unit step function.

Also see

 * Definition:Kronecker Delta