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Illustration Of A Low-discrepancy Sequence




Here is an illustration of a Low-discrepancy Sequence .

The points plotted below are the first 100, 1000, and 10000 elements in a sequence of the Sobol type.
For comparison,
10000 elements of a sequence of pseudorandom points are also shown.

The low-discrepancy sequence was generated by TOMS algorithm 659,
described by P. Bratley and B.L. Fox in ''ACM Transactions on Mathematical Software'', vol. 14, no. 1, pp 88--100.
An implementation of the algorithm in Fortran may be downloaded from Netlib , URL: http://www.netlib.org/toms/659