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Summary

Author: Zbigniew Fiedorowicz
Created in Microsoft Excel and Maple
An approximation to the graph of an antiderivative of a pathological, highly non-continuous function, (Example 4). The parametric equation for this graph is

${\displaystyle t\mapsto \left(\sum _{n=1}^{\infty }{\frac {(t-\cos(n))^{1/3}}{2^{n}}},t\right)}$

where ${\displaystyle -1\leq t\leq 1}$.

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

	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 give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

Original upload log

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

• (del) (cur) 16:41, 13 December 2005 . . Fiedorow ( en:User_talk:Fiedorow Talk) . . 483x483 (3870 bytes) (== Summary == Author: Zbigniew Fiedorowicz<br> Created in Microsoft Excel and Maple<br> An approximation to the graph of an en:Antiderivative antiderivative of a pathological, highly non-continuous function, (Example 4). The parametric equation for this graph is :<math)
• (del) (rev) 03:46, 11 December 2005 . . Fiedorow ( en:User_talk:Fiedorow Talk) . . 171x151 (1446 bytes) (Author: Zbigniew Fiedorowicz Created in Microsoft Excel and Paint Shop Pro)

en:Image:Antideriv2.gif

Original upload log