File:Lucas continuous.png

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Summary

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Description Plot of Lucas numbers function on a continuous variable.
Date
Source Own work
Author Kn

Maxima source code

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l[0]:2;l[1]:1;l[n]:=if n >= 0 then l[n-1]+l[n-2] else l[n+2]-l[n+1];
xy : makelist([n,l[n]],n,-10,10);
l(n):=realpart(%phi^n+(-%phi)^-n);
plot2d([[discrete,xy], l(x)], [x,-10,10],[style,[points,3,1], [lines,1,2]], 
 [legend,"l_x","l(x)"], [gnuplot_preamble, "set size ratio 1; set zeroaxis;"], 
 [nticks,100],[gnuplot_term,ps])$

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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.

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Date/TimeThumbnailDimensionsUserComment
current23:54, 7 September 2007Thumbnail for version as of 23:54, 7 September 20071,104 × 1,118 (38 KB)Kn (talk | contribs){{Information |Description=Plot of Lucas numbers function on a continuous variable. |Source=self-made |Date=September 7th, 2007 |Author= Kn }} ==Maxima source code== l[0]:2;l[1]:1;l[n]:=if n >= 0 then l[n-1]+l[n-2] else l[n+2]-l[n+1]; xy :

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