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

BUILT-IN MATHEMATICA SYMBOL

UnitBox

UnitBox[x]
represents the unit box function, equal to 1 for

and 0 otherwise.

represents the multidimensional unit box function, equal to 1 if

and 0 otherwise.

Plots in one and two dimensions:

UnitBox is a piecewise function:

Plots in one and two dimensions:

Out[1]=

Out[2]=

UnitBox is a piecewise function:

Out[1]=

The area under the UnitBox is 1:

The FourierTransform of a unit box is a Sinc function:

The convolution of UnitBox with itself:

UnitBox threads over lists:

Integrate a piecewise function involving UnitBox symbolically and numerically:

UnitBox is a special case of BSplineBasis:

The derivative of UnitBox is a piecewise function:

UnitBox can be expressed in terms of UnitStep: