Heaviside step function

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The Heaviside step function of $\scriptstyle x\,$ is defined as

$H(x)\equiv {\frac {\operatorname {sgn}(x)+1}{2}}={\begin{cases}0&{\text{if }}x<0,\\{\frac {1}{2}}&{\text{if }}x=0,\\1&{\text{if }}x>0.\end{cases}}$

See also

• Step functions
• Signum function
• Heaviside step function
• Rectangular function
• Boxcar function
• Square wave

External links

• Weisstein, Eric W., Heaviside Step Function, from MathWorld—A Wolfram Web Resource.