UnitStep

Usage

• UnitStep[x] represents the unit step function, equal to 0 for and 1 for .
• UnitStep[, , ... ] represents the multidimensional unit step function which is 1 only if none of the are negative.

Notes

• 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.

• See Section 3.2.2 and Section 3.5.13.

• See also: Sign, Positive, DiracDelta, DiscreteDelta, KroneckerDelta, Boole, Piecewise.

• New in Version 4.

Further Examples