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.
Examples
open allclose allBasic Examples (4)
UnitBox is a piecewise function:
Scope (28)
Numerical Evaluation (4)
Specific Values (4)
Values at the points of discontinuity:
Find a value of x for which UnitBox[x]=1:
Visualization (4)
Function Properties (6)
Differentiation and Integration (6)
First derivative with respect to x:
All higher-order derivatives are the same:
First derivative with respect to z:
Compute the indefinite integral using Integrate:
Integral Transforms (4)
The FourierTransform of a unit box is a Sinc function:
Find the LaplaceTransform of a unit box:
The convolution of UnitBox with itself is UnitTriangle:
Applications (1)
Integrate a piecewise function involving UnitBox symbolically and numerically:
Properties & Relations (4)
The derivative of UnitBox is a piecewise function:
The derivative of HeavisidePi is a distribution:
UnitBox is a special case of BSplineBasis:
UnitBox can be expressed in terms of UnitStep:
Multidimensional unit box function equals the product of 1D functions for each argument:
Text
Wolfram Research (2008), UnitBox, Wolfram Language function, https://reference.wolfram.com/language/ref/UnitBox.html.
BibTeX
BibLaTeX
CMS
Wolfram Language. 2008. "UnitBox." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/UnitBox.html.
APA
Wolfram Language. (2008). UnitBox. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/UnitBox.html