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File:Mediane et esperance decroissance exponentielle.svg

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Description
Français : Demi-vie (médiane) et durée de vie moyenne (espérance) d'une population ayant une décroissance exponentielle.
English: Half-life (median) and mean lifetime of a populaiton wth an exponential decay.
Date
Source Own work
Author Cdang

Scilab source

Scilab source
Scilab source
 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;

// paramètres de la loi

lambda = 0.1;
N0 = 100;
demivie = log(2)/lambda;

// Intervalle d'étude

t = 0:1:100;

// Fonction

function [y]=population(lambda, N0, x)
    y = N0*exp(-lambda*x);
endfunction

// Programme principal

N = population(lambda, N0, t);

scf(0);
clf;
plot(t, N)
xtitle("Population suivant une décroissance exponentielle N(t)",...
"t", "N")
legend("$\mathrm{N}(t) = \mathrm{N}_0 \exp(-\lambda t)\text{ ; }...
    \mathrm{N}_0 = 100\text{ ; } \lambda = 0,1$")

xpoly([0, demivie], [50, 50]);
h1 = gce();
h1.line_style=2;
xpoly([demivie, demivie], [0, 50]);
h2 = gce();
h2.line_style=2;

xpoly([1/lambda, 1/lambda], [0, N0/%e])

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current11:10, 3 July 2013Thumbnail for version as of 11:10, 3 July 2013505 × 395 (90 KB)Cdang (talk | contribs)User created page with UploadWizard

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