Checked content

File:Exp series.gif

Exp_series.gif(292 × 392 pixels, file size: 51 KB, MIME type: image/gif, looped, 9 frames, 9.0 s)
Description Illustration of the en:Exponential function
Date Oleg Alexandrov 03:11, 30 August 2007 (UTC)
Source self-made with MATLAB.
Author Oleg Alexandrov
Matlab Logo.png
This chart was created with MATLAB.
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.

MATLAB source code

% The exponential function as the sum of its Taylor series
function main()
   % 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, 3];
% Set up the grid and other parameters
   N = 100;
   A = -3; B = 3; 
   X = linspace(A, B, N);
   Y = exp(X);
   D = max(Y); C = -0.2*D;
% plot the frames
   Sum = 0*X; Term = 0*X+1;
   num_frames = 8;
   for j=0:num_frames
      Sum = Sum+Term;
      Term = Term.*X/(j+1);
      % Set up the figure
      lw = 3; % linewidth
      fs = 20; % font size
      figure(1); clf; set(gca, 'fontsize', fs);
      hold on; grid on;
      set(gca, 'DataAspectRatio', [1 3 1]); % aspect ratio
      plot_axes (A, B, C, D, lw/1.3);
      plot(X, Sum, 'colour', blue, 'linewidth', lw);
      plot(X, Y,   'colour', red, 'linewidth', lw);
      axis([A, B, C, D]);
      text_str = sprintf('{\\it n}=%d', j)
      H= text (1.2, 18, text_str, 'fontsize', floor(1.2*fs))
      frame=sprintf('Frame%d.eps', 1000+j);
      saveas(gcf, frame, 'psc2');
% Convert to animation with the command
% convert -antialias -loop 10000  -delay 100 -compress LZW Frame100* Exp_series.gif
function plot_axes (A, B, C, D, lw)
   black = [0, 0, 0];
   plot([A B], [0, 0], 'linewidth', lw, 'colour', black);
   plot([0, 0], [C, D], 'linewidth', lw, 'colour', black);
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