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| Keywords: Exp series.gif Illustration of the en Exponential function self-made with MATLAB Oleg Alexandrov 03 11 30 August 2007 UTC Oleg Alexandrov Created with MATLAB MATLAB source code <source lang matlab > 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 'color' blue 'linewidth' lw ; plot X Y 'color' 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 ; disp frame saveas gcf frame 'psc2' ; end 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 'color' black ; plot 0 0 C D 'linewidth' lw 'color' black ; </source> taylor series exponential function Animations of curves Files by User Oleg Alexandrov from en wikipedia Animated GIF Images with Matlab source code | ||||
