_random-walks-in-3d.jpg "Random Walks in 3D from random number generator in python numpy 21 Video Screenshot Preview")
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⏲ Duration: 55 sec
✓ Published: 05-Nov-2012
✓ Published: 05-Nov-2012
Description:
A succession of random integer steps with 90 degree choices is made in 3 dimensions. It creates a discrete fractal and illustrates Markov chains in a nice and visual way.nnInterestingly, for dimensions d>2 the probability of returning to the starting position is not 1. In the 3d case it is about 0.3405…nnThe 10 million step version took about 200 seconds to calculate using a Python script. The speed of the script is very much dependant on the random number generator. Faster (but less truly ran
A succession of random integer steps with 90 degree choices is made in 3 dimensions. It creates a discrete fractal and illustrates Markov chains in a nice and visual way.nnInterestingly, for dimensions d>2 the probability of returning to the starting position is not 1. In the 3d case it is about 0.3405…nnThe 10 million step version took about 200 seconds to calculate using a Python script. The speed of the script is very much dependant on the random number generator. Faster (but less truly ran
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