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| View Original: | Tangent bundle.svg (400x770) | |||
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| Keywords: Tangent bundle.svg Illustration of Tangent bundle Die obere Grafik zeigt den Kreis mit einigen seiner Tangentialräume Die zweite Grafik fasst die Tangentialräume zum Tangentialbündel zusammen self-made with en Matlab then tweaked with en Inkscape 04 06 12 June 2007 UTC Oleg Alexandrov Created with MATLAB Source code MATLAB <source lang matlab > illustration of tangent bundle function main a 0; b 2 pi; N 100; X linspace a b N ; Y sin X ; the function to plot XT 0 X+1; YT cos X ; derivative Theta linspace a b N ; X cos Theta ; Y sin Theta ; XT -sin Theta ; YT cos Theta ; ll 2 5; length of lines perpendicular to the curve thin_line 2; thick_line 4; will draw lines tangent to the graph of Y f X at points separted by length of 'spacing' spacing 0 04; M floor spacing N ; colors red 0 867 0 06 0 14; blue 0 129 205/256; green 0 200 70/256; gray 0 8 1 1 1; figure 1 ; clf; hold on; axis equal; axis off; figure 2 ; clf; hold on; axis equal; axis off; view 18 36 ; plot the curve figure 1 ; s 0 95; plot s X s Y 'linewidth' thick_line 'color' blue ; figure 2 ; plot3 X Y 0 X 'linewidth' thick_line 'color' blue ; plot the lines for k 1 N p k-1 M+2; if p > N break; end figure 1 ; x0 X p ; y0 Y p ; mx XT p ; my YT p ; plot x0-mx ll x0+mx ll y0-my ll y0+my ll 'color' red 'linewidth' thin_line figure 2 ; plot3 X p X p Y p Y p -ll ll 'color' red 'linewidth' thin_line end save to disk as eps and svg figure 1 ; saveas gcf 'Tangent_bundle1 eps' 'psc2' ; plot2svg 'Tangent_bundle1 svg' figure 2 ; saveas gcf 'Tangent_bundle2 eps' 'psc2' ; plot2svg 'Tangent_bundle2 svg' </source> Tangent vectors vector bundles Files by User Oleg Alexandrov from en wikipedia Images with Matlab source code SVG mathematics | ||||
