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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Percolation-Mean-cluster-density/Mathematica/percolation-mean-cluster-density.math Normal file
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(*Calculate C_n / n^2 for n=1000, 2000, ..., 10 000*)
In[1]:= Table[N[Max@MorphologicalComponents[
RandomVariate[BernoulliDistribution[.5], {n, n}],
CornerNeighbors -> False]/n^2], {n, 10^3, 10^4, 10^3}]
(*Find the average*)
In[2]:= % // MeanAround
(*Show a 15x15 matrix with each cluster given an incrementally higher number, Colorize instead of MatrixForm creates an image*)
In[3]:= MorphologicalComponents[RandomChoice[{0, 1}, {15, 15}], CornerNeighbors -> False] // MatrixForm