To speedup searching and avoid local optimum traps, the random sequences produced from chaotic maps are utilized instead of random variables in DE.
Patients were randomised by independent personnel at the hospital pharmacy, where the random allocation sequence produced (switches after 1 to maximal 3 patients) was assigned and the sealed envelopes for each patient distributed.
Analyses illustrate that statistically perfect and chaotic random sequences are produced.
A simple consideration shows that, with probability one, the sequence produced by our random process is not Turing-computable.
So Martin-Löf random sequences satisfy all the intuitive properties we would expect of a sequence produced by tosses of a fair coin, but are characterised entirely by reference to the effectively specifiable measure one sets of infinite sequences.
To this alignment, we added the GH11 sequences obtained by the random sequencing of plasmid inserts, the sequences producing a functional enzyme in yeast and the sequences representative of the most abundant Illumina sequence clusters before (H0) or after (H1 and H2) SHS capture.
The combinatorial protein libraries are composed of scaffold variants with random sequence variation, which inevitably produces a portion of the library sequences incompatible with the parent structure.
Sanger sequencing based on gel electrophoresis [5], still the dominant sequencing technology, can produce random sequence reads that are between 500 and 1000 base pairs long with less than 1% error rate at a cost of less than $0.001 per base (http://www.appliedbiosystems.com).
So the computer would be producing some random sequence of numbers or patterns and we'd say, "We want you to try to try to influence it this way, to alternately produce higher or lower numbers, or to make the balls bounce in this direction just with your thoughts".
As Earman (1986: 145) also emphasises, this approach to randomness seems to require essentially that the chanciness of the process producing the random sequence is conceptually prior to the sequence being random.
