File:Brownian hierarchical.svg
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Size of this PNG preview of this SVG file: 573 × 599 pixels. Other resolutions: 229 × 240 pixels | 459 × 480 pixels | 734 × 768 pixels | 979 × 1,024 pixels | 1,958 × 2,048 pixels | 1,195 × 1,250 pixels.
Original file (SVG file, nominally 1,195 × 1,250 pixels, file size: 56 KB)
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An image of Brownian motion, done with three different step sizes. The hierarchical structure is clearly visible. Vector version of Image:Brownian_hierarchical.png made using Mathematica.
Mathematica code:
g = {last = {0, 0}} Do[g = Append[g, last = last + Sqrt[-Log[Random[]]]{Cos[θ], Sin[θ]} /. θ -> Random[Real, 2π]], {2048}] g2 = Partition[g, 8][[All, 1]]; g3 = Partition[g2, 8][[All, 1]]; plot = Show[ ListPlot[g, PlotJoined -> True, PlotStyle -> RGBColor[0,.78,1], DisplayFunction -> Identity], ListPlot[g2,PlotJoined -> True, PlotStyle -> Blue, DisplayFunction -> Identity], ListPlot[g3,PlotJoined -> True, DisplayFunction -> Identity], DisplayFunction -> $DisplayFunction, AspectRatio -> Automatic, ImageSize -> 1000]
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 21:10, 21 March 2008 | 1,195 × 1,250 (56 KB) | Di Gama~commonswiki (talk | contribs) | An image of Brownian motion, done with three different step sizes. The hierarchical structure is clearly visible. Vector version of Image:Brownian_hierarchical.png made using Mathematica. |
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