File:Cosine fixed point.svg

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Cosine_fixed_point.svg(SVG file, nominally 600 × 480 pixels, file size: 14 KB)
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

GNU head 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.

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
This licensing tag was added to this file as part of the GFDL licensing update.

[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/TimeThumbnailDimensionsUserComment
current23:10, 30 April 2007Thumbnail for version as of 23:10, 30 April 2007600 × 480 (14 KB)EnEdC{{GFDL-user-w|en|English Wikipedia|EdC}}
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