0d6ef658-c627-400f-b8d5-f95ff90a901b 49 6 12 decimal

&[DATE] &[TIME] - &[FILENAME]

Brownian motion: imitate

t0 1 time :

Keep trying many runs, you will get various beautiful images. The size of the image depends upon the random generation. The running time depends upon the size of the x/y Brownian.

Unform ... -1 < rnd < 1 n rnd μ n : 2 μ Random * 1 - 21 line :

1 rnd 1 el Un-nest ≡

N 5000 :

Generate recursive x/y
Cartesian Brownian motion Ω x 1 el 0 : y 1 el 0 : 12 mat i 2 N range x i el x i 1 - el 1 rnd 1 el + : y i el y i 1 - el 1 rnd 1 el + : 21 line for i 1 N range X i el x i el 0 round abs : Y i el y i el 0 round abs : scan for matched pairs-> fill white X i el Y i el * 0 ≠ Ω X i el Y i el el 255 : Not Brownian if 51 line for Ω 41 line :

Notes: 0. Work sheet AutoCal OFF 1. Update 'N' ... F9 2. Reset original size 2. Optimiz Numeric

jmGiraud: 20160822

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 Ω

1 time t0 - 39 s *

N 1000 :

Highlight a sub region

Brw x 1 el 0 : y 1 el 0 : 12 mat i 2 N range x i el x i 1 - el 1 rnd 1 el + : y i el y i 1 - el 1 rnd 1 el + : 21 line for x y augment 31 line :

<= start of sub start 1 :

<= end of sub end 100 :

sub Brw start end 12 submatrix :

Brw sub 2 1 sys

About the highlight sub region: In this typical "start = 1", some Brownian experiments will highlight an entire region, uniquely. We can say so, knowing that Smath quick plot 2nd trace does not override the 1rst one.