File:Integrale double signal carre.png
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| Description |
English: Hat function, triangular function (antiderivative of the hat function) and antiderivative of the triangular function; the later is an example of non-derivability. Français : Signal carré, signal triangulaire (primitive du signal carré) et intégrale du signal triangulaire (intégrale double du signal carré) ; un exemple de non dérivabilité. |
| Date | |
| Source |
Own work: réalisé avec/made with Scilab |
| Author | Christophe Dang Ngoc Chan (cdang) |
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Scilab source
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This media was created with Scilab, a free open-source software. Here is a listing of the Scilab source used to create this file. |
clear;clf;
// domaine d'étude
pas=0.01;
X=0:pas:3';
NX=size(X);nx=NX(1,2);
// sous-domaines pour le tracé
X1=0:pas:1-pas';
X2=1+pas:pas:2-pas';
X3=2+pas:pas:3-pas';
// fonction initiale
deff('y=f(x)','y=(-1)^(int(x))')
// intégrale première
deff('y=f1(x)','y=(-1)^(int(x))*(x-int(x))-0.5*(f(x)-1)')
Y1=feval(X,f1);
// intégrale seconde
Y2(1)=0
for i=2:nx
Y2(i)=Y2(i-1)+Y1(i);
end
// affichage
subplot(3,1,1)
plot2d(X1,f(X1),style=2,rect=[0,-1.03,3,1.03])
plot2d(X2,f(X2),style=2)
plot2d(X3,f(X3),style=2)
axe=get('current_axes');
axe.x_location='middle'; axe.y_location='middle';
xtitle('signal carré','x','y')
subplot(3,1,2)
plot2d(X,Y1,style=2)
axe1=get('current_axes');
axe1.x_location='middle'; axe1.y_location='middle';
xtitle('signal triangulaire (intégrale du signal carré)','x','y')
subplot(3,1,3)
plot2d(X,Y2,style=2)
axe2=get('current_axes');
axe2.x_location='middle'; axe2.y_location='middle';
xtitle('intégrale double du signal carré','x','y')
Licensing edit
I, the copyright holder of this work, hereby publish it under the following licenses:
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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. |
  
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
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| This licensing tag was added to this file as part of the GFDL licensing update. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:52, 8 December 2005 | | 610 × 461 (4 KB) | Cdang (talk | contribs) | : <math>\sgn(x)=\left\{\begin{matrix} -1 & : x < 0 \\ \;0 & : x = 0 \\ \;1 & : x > 0 \end{matrix}\right. </math> : <math>\int_0^x \sgn(t)\cdot dt</math> : <math>\int\int_0^x \sgn(t)\cdot dt^2</math> Signal carré, signal triangulaire (intégrale du sign |
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