Talk:Rectangular function

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

????— Preceding unsigned comment added by 213.162.107.11 (talk)

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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)