Talk:Tent map

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[edit] Name

Need to explain why it's called a "tent map."

In mathematics, the tent map is an iterated function, in the shape of a tent

That's not a good-enough explanation? linas 14:37, 25 October 2005 (UTC)

If you plot xn + 1 versus xn, it has two linear sections which rise to meet at [1/2,μ/2] - it looks like a tent.

[edit] Are these equations correct?

x_{n+1}=\left\{ \begin{matrix} \mu x_n & \mathrm{for}~~ x_n \le \frac{1}{2} \\ \\ \mu (1-x_n) & \mathrm{for}~~ \frac{1}{2} \le x_n . \end{matrix} \right.

If x_n = \frac{1}{2}, both values apply. Which is correct? ☢ Ҡieff⌇↯ 11:49, 4 February 2006 (UTC)

Yes, the function appears to have two values when x_n = \frac{1}{2}, but the values coincide - they are both \frac{\mu}{2}. However, I have changed the definition in the article to avoid confusion. Gandalf61 15:41, 4 February 2006 (UTC)

[edit] Plot

There really ought to be a picture of the defining function right at the beginning of the article.

Done. Gandalf61 12:23, 21 December 2006 (UTC)
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