File:Cosine fixed point.svg
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| Description |
== Summary ==
Fixed point iteration of the cosine function.
Derived from Image:Sine fixed point.svg. Created with Gnuplot:
set term svg set out "cos.svg" set multiplot set size ratio 0.5 unset key unset border set xrange [-pi/2:pi/2] set yrange [0:1] set xtics axis set ytics axis set xzeroaxis set yzeroaxis f(x) = cos(x) x_0 = -1 unset parametric set samples 100 plot x with lines lt 3 plot f(x) with lines lt 3 set parametric iter2_x(x, n) = n>0 ? iter1_x(f(x), n-1) : x iter1_x(x, n) = n>0 ? iter2_x( x , n-1) : x iter_x(x, n) = n>0 ? iter2_x( x , n-1) : x iter2_y(y, n) = n>0 ? iter1_y( y , n-1) : y iter1_y(y, n) = n>0 ? iter2_y(f(y), n-1) : y iter_y(y, n) = n>0 ? iter2_y(f(y), n-1) : 0 set samples 21 plot [0:20] iter_x(x_0,t),iter_y(x_0,t) with lines lt 1 unset multiplot |
| Date |
2007-04-30 (first version); 2007-04-30 (last version) |
| Source |
Originally from en.wikipedia; description page is/was here. |
| Author |
Original uploader was Tinctorius at en.wikipedia Later versions were uploaded by EdC at en.wikipedia. |
Permission
(Reusing this file) |
Released under the GNU Free Documentation License.
|
[edit] Licensing
 |
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
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[edit] Original upload log
(All user names refer to en.wikipedia)
- 2007-04-30 22:57 EdC 600×480×0 (14381 bytes) Create fixed version from own previous work at [[:Image:Sine fixed point.svg]].
- 2007-04-30 09:10 Tinctorius 600×480×0 (11310 bytes) Fixed point iteration of the cosine function. Derived from [[:Image:Sine fixed point.svg]]. Created with [[Gnuplot]]: <nowiki> set term svg set out "cosine.svg" set multiplot set size ratio 0.5 unset key set xrange [-pi:pi] set yrange [0:1] set xtics
- 2007-04-30 08:35 Tinctorius 600×480×0 (11010 bytes) == Summary == Fixed point iteration of the cosine function. Derived from [[:Image:Sine fixed point.svg]]. Created with [[Gnuplot]]: <nowiki> set term svg set out "cosine.svg" set multiplot set size ratio 0.5 unset key set xrange [-pi:pi] set yrange [0
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment |
| current | 23:10, 30 April 2007 |  | 600 × 480 (14 KB) | EnEdC | {{GFDL-user-w|en|English Wikipedia|EdC}} |
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