File:SineIterates.jpg

Summary

Description Iterates of the sine function (blue), in the first half-period.     Half-iterate (orange), i.e., the sine's functional square root; the functional square root of that, the quarter-iterate (black) above it; and four integral iterates below it, starting with the second iterate (red). The green envelope triangle represents the limiting null iterate, the sawtooth function serving as the starting point leading to the sine function. From the general pedagogy web-site.
Date
Source

Transferred from en.wikipedia to Commons.
(Original text : T Curtright, http://www.physics.miami.edu/~curtright/Schroeder.html

web-page at the U of Miami for the benefit of students and the scholarly public.Cuzkatzimhut (talk) 17:19, 18 November 2010 (UTC))
Author T Curtright
Permission
(Reusing this file)

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Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2011-02-18 16:19 Cuzkatzimhut 752×569× (171954 bytes)
  • 2010-11-19 19:26 Cuzkatzimhut 752×569× (171954 bytes) inclusion of 1/4 iterate
  • 2010-11-19 01:03 Cuzkatzimhut 1013×550× (117769 bytes)
  • 2010-11-18 17:19 Cuzkatzimhut 1013×550× (117769 bytes) T Curtright, http://server.physics.miami.edu/~curtright/ web-page at the U of Miami for the benefit of students and the scholarly public. ~~~~
Category:Functional analysis
Category:CC-BY-SA-3.0 Category:Functional analysis Category:GFDL Category:Items with VRTS permission confirmed Category:JPG images that should use vector graphics Category:License migration redundant Category:Math images that should use vector graphics