Difference between revisions of "File:Fracit20t150.jpg"
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(Iterate of the linear fraction function $\displaystyle f(z)=\frac{x}{c+z}$ at $c\!=\!2$. In general the $n$th iterate of $f$ can be expressed as follows: $\displaystyle f^n(z)=\frac{z}{c^n+\frac{1-c^n}{1-c} z}$ $y=f^n(x)$ is plotted versus $x$...) |
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$\displaystyle f(z)=\frac{x}{c+z}$ at $c\!=\!2$. |
$\displaystyle f(z)=\frac{x}{c+z}$ at $c\!=\!2$. |
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[[Category:Linear fraction]] |
[[Category:Linear fraction]] |
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[[Category:Iterate]] |
[[Category:Iterate]] |
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+ | [[Category:Iterate of linear fraction]] |
[[Category:Elementary function]] |
[[Category:Elementary function]] |
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[[Category:Explicit plot]] |
[[Category:Explicit plot]] |
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Revision as of 21:02, 4 August 2013
$\displaystyle f(z)=\frac{x}{c+z}$ at $c\!=\!2$.
In general the $n$th iterate of $f$ can be expressed as follows:
$\displaystyle f^n(z)=\frac{z}{c^n+\frac{1-c^n}{1-c} z}$
$y=f^n(x)$ is plotted versus $x$ for various values of $n$.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:59, 4 August 2013 |  | 1,466 × 1,466 (463 KB) | T (talk | contribs) | Iterate of the linear fraction function $\displaystyle f(z)=\frac{x}{c+z}$ at $c\!=\!2$. In general the $n$th iterate of $f$ can be expressed as follows: $\displaystyle f^n(z)=\frac{z}{c^n+\frac{1-c^n}{1-c} z}$ $y=f^n(x)$ is plotted versus $x$... |
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