Editing Rectangular function (section)

==Use in probability==
{{Main |Uniform distribution (continuous)}}
Viewing the rectangular function as a [[probability density function]], it is a special case of the [[Uniform distribution (continuous)|continuous uniform distribution]] with <math>a = -1/2, b = 1/2.</math> The [[characteristic function (probability theory)|characteristic function]] is

<math display=block>\varphi(k) = \frac{\sin(k/2)}{k/2},</math>

and its [[moment-generating function]] is

<math display=block>M(k) = \frac{\sinh(k/2)}{k/2},</math>

where <math>\sinh(t)</math> is the [[hyperbolic sine]] function.