Image:Integrale double partie entiere.png

	This Math image should be recreated using vector graphics as an SVG file. This has several advantages; see Commons:Images for cleanup for more information. If an SVG form of this image is already available, please upload it. After uploading an SVG, replace this template with template {{SupersededSVG|new image name.svg}} in this image.
Català | Česky | Dansk | Deutsch | English | Esperanto | Español | Français | Italiano | 日本語 | 한국어 | Nederlands | Polski | Português | Русский | العربية | 正體中文 | +/-

[edit] Summary

\int;\int; E

Primitive seconde de la partie entière ; exemple de fonction dérivable une fois mais pas deux.

Antiderivative of the antiderivative of the floor function ; example of a function that is once differentiable, but not twice.

Auteur/author : Christophe Dang Ngoc Chan (cdang)

Réalisé avec/made with Scilab

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';

// intégrale première

Y1(1)=0
for i=2:nx
   Y1(i)=Y1(i-1)+int(pas*i);
end

// intégrale seconde

Y2(1)=0
for i=2:nx
   Y2(i)=Y2(i-1)+Y1(i);
end

// affichage

subplot(3,1,1)

plot2d(X1,int(X1),style=2)
plot2d(X2,int(X2),style=2)
plot2d(X3,int(X3),style=2)
axe=get('current_axes');
axe.x_location='middle'; axe.y_location='middle';
xtitle('f=E(x)','x','y')

subplot(3,1,2)
plot2d(X,Y1,style=2)
axe1=get('current_axes');
axe1.x_location='middle'; axe1.y_location='middle';
xtitle('Primitive de f','x','y')

subplot(3,1,3)
plot2d(X,Y2,style=2)
axe2=get('current_axes');
axe2.x_location='middle'; axe2.y_location='middle';
xtitle('Primitive seconde de f','x','y')

[edit] Licensing

I, the author 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". العربية | Asturianu | Български | বাংলা | ইমার ঠার | Brezhoneg | Bosanski | Català | Sinugboanong Binisaya | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | 한국어 | Kurdî / كوردي | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | Norsk (nynorsk) | Norsk (bokmål) | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | 中文(简体) | 中文(繁體) | +/-