BUILT-IN MATHEMATICA SYMBOL

HeavisideTheta

HeavisideTheta[x]
represents the Heaviside theta function , equal to 0 for and 1 for .

HeavisideTheta[x₁, x₂, ...]
represents the multidimensional Heaviside theta function which is 1 only if none of the are not positive.

Details Details

HeavisideTheta[x] returns 0 or 1 for all real numeric x other than 0.
HeavisideTheta can be used in integrals, integral transforms and differential equations.
HeavisideTheta has attribute Orderless.
For exact numeric quantities, HeavisideTheta internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.

Examples Examples open all close all

Basic Examples (2)Basic Examples (2)

Out[1]=

Differentiate to obtain DiracDelta:

Out[1]=

Scope (6)Scope (6)

Generalizations & Extensions (3)Generalizations & Extensions (3)

Applications (6)Applications (6)

Properties & Relations (5)Properties & Relations (5)

Possible Issues (10)Possible Issues (10)

Neat Examples (1)Neat Examples (1)

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See Also See Also

DiracDelta HeavisidePi HeavisideLambda UnitStep Convolve PrincipalValue

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