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UnitStep

Heaviside step function (WMA link)

UnitStep[x]

return 0 if x < 0, and 1 if x >= 0.

UnitStep[$x_1$, $x_2$, ...]

return the multidimensional unit step function which is 1 only if none of the xi are negative.

Evaluation numerically:

• • UnitStep[0.7]

We can use UnitStep on irrational numbers and infinities:

• • Map[UnitStep, {Pi, Infinity, -Infinity}]

• • Table[UnitStep[x], {x, -3, 3}]

Plot in one dimension:

• • Plot[UnitStep[x], {x, -4, 4}]