Function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way
"Box function" redirects here. For the Conway box function, see Minkowski's question-mark function § Conway box function.
Rectangular function with a = 1
The rectangular function (also known as the rectangle function, rect function, Pi function, Heaviside Pi function,[1]gate function, unit pulse, or the normalized boxcar function) is defined as[2]
Alternative definitions of the function define to be 0,[3] 1,[4][5] or undefined.
Its periodic version is called a rectangular wave.
^Wolfram Research (2008). "HeavisidePi, Wolfram Language function". Retrieved October 11, 2022.
^Weisstein, Eric W. "Rectangle Function". MathWorld.
^Wang, Ruye (2012). Introduction to Orthogonal Transforms: With Applications in Data Processing and Analysis. Cambridge University Press. pp. 135–136. ISBN 9780521516884.
^Tang, K. T. (2007). Mathematical Methods for Engineers and Scientists: Fourier analysis, partial differential equations and variational models. Springer. p. 85. ISBN 9783540446958.
^Kumar, A. Anand (2011). Signals and Systems. PHI Learning Pvt. Ltd. pp. 258–260. ISBN 9788120343108.
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