File:X sin 1 sur x.png
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X_sin_1_sur_x.png (610 × 461 pixels, file size: 5 KB, MIME type: image/png)
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Summary
[edit]Fonction x·sin(1/x), continue en 0, mais non dérivable ni à gauche, ni à droite.
Function x·sin(1/x), continuous in 0, but not differentiable, neither on its lefts part, nor on its right part.
Auteur/author : Christophe Dang Ngoc Chan (cdang)
clear;clf; // domaines d'étude pas=0.01; X1=-3:pas:0-pas'; X2=0+pas:pas:3'; X3=-0.2:pas/100:0-pas/100'; X4=0+pas/100:pas/100:0.2'; // fonction deff('y=f(x)','y=x*sin(1/x)') Y1=feval(X1,f); Y2=feval(X2,f); Y3=feval(X3,f); Y4=feval(X4,f); // affichage subplot(2,1,1) plot2d(X1,Y1,style=2) plot2d(X2,Y2,style=2) axe=get('current_axes'); axe.x_location='middle'; axe.y_location='middle'; xtitle('y=x*sin(1/x)','x','y') subplot(2,1,2) plot2d(X3,Y3,style=2) plot2d(X4,Y4,style=2) axe=get('current_axes'); axe.x_location='middle'; axe.y_location='middle'; xtitle('y=x*sin(1/x)','x','y')
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[edit]I, the copyright holder of this work, hereby publish it under the following licenses:
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 |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 10:27, 9 December 2005 | 610 × 461 (5 KB) | Cdang (talk | contribs) | oversampling for close view | |
14:30, 8 December 2005 | 610 × 461 (5 KB) | Cdang (talk | contribs) | Fonction ''x''·sin(1/''x''), continue en 0, mais non dérivable ni à gauche, ni à droite. ---- Function ''x''·sin(1/''x''), continuous in 0, but not differentiable, neither on its lefts part, nor on its right part. Auteur/author : Christ |
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