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. 1998 Sep 1;95(18):10367–10372. doi: 10.1073/pnas.95.18.10367

Figure 1.

Figure 1

One-dimensional deficit def0(N) from maximal irregularity for base 2 sequence expansions of e and for the binary sequences BinChamp (binary version of 0.1234567… ), pert-BinChamp, and sequence iv := Seq(FIterLog-3), all compared with log log N/N, where this last function is the asymptotic convergence rate of def0 for sequences satisfying the law of the iterated logarithm (LIL).