IEVref: | 103-03-01 | ID: | |

Language: | en | Status: Standard | |

Term: | unit step function | ||

Synonym1: | Heaviside function [Preferred] | ||

Synonym2: | |||

Synonym3: | |||

Symbol: | ε | ||

Definition: | function, zero for all negative values of the independent variable and equal to one for all positive values Note 1 to entry: See Figure 1 below for a graphical representation of ε( Note 2 to entry: ε( Note 3 to entry: Notation H(
| ||

Publication date: | 2009-12 | ||

Source | |||

Replaces: | |||

Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO | ||

CO remarks: | |||

TC/SC remarks: | |||

VT remarks: | |||

Domain1: | |||

Domain2: | |||

Domain3: | |||

Domain4: | |||

Domain5: |

Note 1 to entry: See Figure 1 below for a graphical representation of ε(*t*). The value ε(0) may remain undefined or may be defined according to the context.

Note 2 to entry: ε(*x* − *x*_{0}) denotes a unit step at the value *x*_{0} of the independent variable *x*.

Note 3 to entry: Notation H(*x*) is also used. Notation ϑ(*t*) is used for the unit step function of time. Notation ϒ(*x*) has also been used.

**Figure 1 – Graphical representation of ε( t)**