Boxcar Function (original) (raw)

TOPICS

Search Close

Search

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

DOWNLOAD Mathematica NotebookDownloadWolfram Notebook

Boxcar

The function

Pi_(a,b)(x)=H(x-a)-H(x-b)

which is equal to 1 for a<=x<=b and 0 otherwise. Here H(x) is the Heaviside step function. The special case Pi_(-1/2,1/2)(x) gives the unit rectangle function.

See also

Heaviside Step Function, Rectangle Function, Square Wave

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

References

von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 324, 1993.

Referenced on Wolfram|Alpha

Boxcar Function

Cite this as:

Weisstein, Eric W. "Boxcar Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BoxcarFunction.html

Subject classifications