DOCUMENTATION CENTER SEARCH

Mathematica > Mathematics and Algorithms > Mathematical Functions > Numerical Functions >

UnitStep

UnitStep[x]
represents the unit step function, equal to 0 for

and 1 for

.

UnitStep[x₁, x₂, ...]
represents the multidimensional unit step function which is 1 only if none of the

are negative.

MORE INFORMATION

Some transformations are done automatically when UnitStep appears in a product of terms.

UnitStep provides a convenient way to represent piecewise continuous functions.

UnitStep has attribute Orderless.

For exact numeric quantities, UnitStep internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.

UnitStep[] is 1.

Basic Examples (3)

Evaluate numerically:

Use UnitStep to construct piecewise functions:

Generalizations & Extensions (1)

Applications (6)

Properties & Relations (3)

Possible Issues (3)

UnitBox Sign Positive HeavisideTheta DiscreteDelta KroneckerDelta Unitize Boole Piecewise

Numerical Functions

Generalized Functions and Related Objects

Piecewise Functions

Demonstrations with UnitStep (Wolfram Demonstrations Project)

MathWorld

The Wolfram Functions Site

Conditionals

Numerical Functions

New in 4

Ask a question about this page | Suggest an improvement | Leave a message for the team