File:Bernoulli inequality.svg

From formulasearchengine
Jump to navigation Jump to search

Original file(SVG file, nominally 254 × 488 pixels, file size: 18 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Description Illustration of Bernoulli's inequality.
Date (UTC)
Source self-made with MATLAB
Author Oleg Alexandrov
SVG development
InfoField
 
The SVG code is valid.
 
This diagram was created with MATLAB.
Source code
InfoField

MATLAB code

% Illustration of the bernoulli inequality

function main()

   r = 3; % the power in the Bernoulli inequality
   
   % KSmrq's colors
   red    = [0.867 0.06 0.14];
   blue   = [0, 129, 205]/256;
   green  = [0, 200,  70]/256;
   yellow = [254, 194,   0]/256;
   white = 0.99*[1, 1, 1];

% Set up the grid and other parameters
   N = 100;
   A = -2; B = 2; 
   X = linspace(A, B, N);
   Y1 = 1+r*X;
   Y2 = (1+X).^r;

   C=-3; D = 5;
   
   % Set up the figure
   lw = 3; % linewidth
   fs = 12; % font size
   figure(1); clf;

   set(gca, 'fontsize', fs);
   set(gca, 'linewidth', 0.4*lw)
   hold on;% grid on;
   
   plot_axes (A, B, C, D, lw/1.5);
   
   plot(X, Y1, 'color', blue, 'linewidth', lw);
   plot(X, Y2,   'color', red, 'linewidth', lw);
   
   axis equal; axis([A, B, C, D]); 

   set(gca, 'XTick', [-2, -1, 0, 1, 2]) % text labels on the x axis
   grid on;
   
   saveas(gcf, 'Bernoulli_inequality.eps', 'psc2'); % save as eps
   %plot2svg('Bernoulli_inequality.svg'); % save as svg
   
function plot_axes (A, B, C, D, lw)
   
   black = [0, 0, 0];

   plot([A B], [0, 0], 'linewidth', lw, 'color', black);
   plot([0, 0], [C, D], 'linewidth', lw, 'color', black);
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

image/svg+xml

0e48f3fee1e011723c4cb3c8348779179e09d133

18,097 byte

488 pixel

254 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current08:11, 9 January 2008Thumbnail for version as of 08:11, 9 January 2008254 × 488 (18 KB)wikimediacommons>Oleg Alexandrov{{Information |Description=Illustration of Bernoulli's inequality. |Source=self-made with MATLAB |Date=~~~~~ |Author= Oleg Alexandrov |Permission= |other_versions= }} {{PD-self}} ==Source code ([[:

There are no pages that use this file.