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UnitBox

UnitBox[x]
represents the unit box function, equal to 1 for and 0 otherwise.
UnitBox[x1, x2, ...]
represents the multidimensional unit box function, equal to 1 if and 0 otherwise.
  • UnitBox can be used in integrals and integral transforms.
Plots in one and two dimensions:
UnitBox is a piecewise function:
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:
TraditionalForm formatting:
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:
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