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Alternate definitions of the function define <math>\mathrm{rect}(\pm 1/2)</math> to be 0, 1, or undefined. We can also express the rectangular function in terms of the [[Heaviside step function]], <math>u(t)</math>:
:<math>\mathrm{rect}\left(\frac{t}{\tau}\right) = u \left( t + \frac{\tau}{2} \right) - u \left( t - \frac{\tau}{2} \right) </math>
or, alternatively:
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