MAKE A MEME View Large Image Convex metric illustration2.png An illustration of a convex metric space own Oleg Alexandrov Created with MATLAB Source code MATLAB <source lang matlab > an illustration of convex metric spaces function main N 100; A -0 4; B -0 1; X ...
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Keywords: Convex metric illustration2.png An illustration of a convex metric space own Oleg Alexandrov Created with MATLAB Source code MATLAB <source lang matlab > an illustration of convex metric spaces function main N 100; A -0 4; B -0 1; X linspace A B N ; Y 2 1-X 2 ; figure 1 ; clf; hold on; axis equal; axis off; lw 1 5; black 0 0 0; plot X Y '--' 'linewidth' lw plot some balls to emphasize where the points are ball_rad 0 007; blue 0 0 1; red 1 0 0; ball X 1 Y 1 ball_rad blue ball X N Y N ball_rad blue t 0 4; M floor N t ; ball X M Y M ball_rad red plot text fs 50; d 0 0015; ii sqrt -1 ; place_text_smartly X 1 +i Y 1 fs 3 0 6 d '\it x ' 6 place_text_smartly X M +i Y M fs 2 d '\it z ' 6 place_text_smartly X N +i Y N fs 1 d '\it y ' 6 a phony box to avoid matlab bugs in saving to eps h0 0 1; white 0 99 1 1 1; plot X N Y N +h0 'color' white saveas gcf 'Convex_metric_illustration eps' 'psc2' ; function ball x y r color Theta 0 0 1 2 pi; X r cos Theta +x; Y r sin Theta +y; H fill X Y color ; set H 'EdgeColor' 'none' ; function place_text_smartly z font_size pos d tx N p cos 2 pi/N +sqrt -1 sin 2 pi/N ; z z + p pos d font_size; x real z ; y imag z ; H text x y tx ; set H 'fontsize' font_size 'HorizontalAlignment' 'c' 'VerticalAlignment' 'c' </source> Metric geometry Files by User Oleg Alexandrov from en wikipedia Images with Matlab source code math
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