Talk:Rectangular function

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A perfect example of a rectangular function that I think should be added is:

R(x) = \lim_{n\to\infty} (\tan\circ\cos)^n(x)

We already have a much simpler perfect example. Less is more. --Bob K 00:39, 6 June 2006 (UTC)
Nope. — Omegatron 00:42, 8 June 2006 (UTC)

Am I going mad, or is the definition of this simple function just completely wrong? Shouldn't it be

R(x) = 0, if x < -1/2
R(x) = 1, if -1/2 <= x <= 1/2
R(x) = 0, if x > 1/2

????—The preceding unsigned comment was added by 213.162.107.11 (talk • contribs).

Please sign your entries with "~~~~"
Is it the values at x = ± ½ that you are concerned about? --Bob K 04:20, 11 July 2006 (UTC)
I am used to seeing this definition in the literature:
\mathrm{rect}(t) = \begin{cases} 1 & \mbox{if } |t| < \frac{1}{2} \\ 0 & \mbox{if } |t| \geq \frac{1}{2} \end{cases}
Though I have also seen the current definition (\mathrm{rect}(\pm 1/2)=1/2). I just added in a short blurb about the various definitions. --Rabbanis 18:54, 5 August 2006 (UTC)
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