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non-converging_iteration_in_reals [2007/04/19 09:48] vkuncak |
non-converging_iteration_in_reals [2015/04/21 17:50] (current) |
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| \begin{equation*} | \begin{equation*} | ||
| \begin{array}{l} | \begin{array}{l} | ||
| - | f : [0,2] \to [0,2] \\[1ex] | + | f : [0,2] \to [0,2] \\begin{equation*}1ex] |
| f(x) = \left\{\begin{array}{rl} | f(x) = \left\{\begin{array}{rl} | ||
| - | \displaystyle\frac{1+x}{2}, & x < 1 \\[2ex] | + | \displaystyle\frac{1+x}{2}, & x < 1 \\begin{equation*}2ex] |
| \displaystyle \frac{3+2x}{4}, & x \geq 1 \end{array}\right. | \displaystyle \frac{3+2x}{4}, & x \geq 1 \end{array}\right. | ||
| \end{array} | \end{array} | ||