File:Continuous not differentiable function.svg

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Continuous_not_differentiable_function.svg‎ (SVG file, nominally 580 × 453 pixels, file size: 352 KB)

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Summary[edit]

Description
Français : Trois étapes de la construction d'une fr:fonction continue nulle part dérivable obtenue comme limite de
f_n(x):=\sum_{k=1}^{n} \frac{1}{2^k} g(2^{2^k} x)

où g, périodique de période 4 vérifie :

g(x):=\begin{cases} 1+x & \text{si } x \in [-2,0] \\ 1-x & \text{si } x \in [0,2] \end{cases}
Date 10/11/2008
Source Own work
Author HB

Licensing[edit]

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File history

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Date/TimeThumbnailDimensionsUserComment
current10:51, 10 November 2008Thumbnail for version as of 10:51, 10 November 2008580×453 (352 KB)HB ({{Information |Description={{fr|1=Trois étapes de la construction d'une fr:fonction continue nulle part dérivable obtenue comme limite de : <math>f_n(x):=\sum_{k=1}^{n} \frac{1}{2^k} g(2^{2^k} x)</math> où g, périodique de période 4 vérifie :)

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Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
<svg-description> lundi 10 novembre 2008 11 h 33 CET
<svg-width> 580
<svg-height> 453
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