Web Reference: The self convolution of the dis- continuous rectangular function results in the triangular function, a piecewise defined spline that is continuous, but not continuously differentiable. Mar 25, 2026 · The rectangle function Pi (x) is a function that is 0 outside the interval [-1/2,1/2] and unity inside it. It is also called the gate function, pulse function, or window function, and is defined by Pi (x)= {0 for |x|>1/2; 1/2 for |x|=1/2; 1 for |x|
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