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Mathematica > Generalized Functions >

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 x_i are not positive.

HeavisideTheta can be used in integrals, integral transforms and differential equations.

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.

Differentiate to obtain DiracDelta: