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Boxcar Function

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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

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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

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