Image:Antideriv2.gif

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[edit] 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

$t\mapsto\left(\sum_{n=1}^8\frac{(t-\cos(n))^{1/3}}{2^n},t\right)$

where $-1\le t\le1$ . In the actual example, 8 in the upper limit of summation shoud be replaced by $\infty$ .

[edit] Licensing

I, the creator of this work, hereby grant the permission 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.
Subject to disclaimers.

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(del) (cur) 16:41, 13 December 2005 . . Fiedorow (Talk | contribs) . . 483×483 (3,870 bytes) (== Summary == Author: Zbigniew Fiedorowicz<br> Created in Microsoft Excel and Maple<br> An approximation to the graph of an 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 (Talk | contribs) . . 171×151 (1,446 bytes) (Author: Zbigniew Fiedorowicz Created in Microsoft Excel and Paint Shop Pro)