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. 2014 Dec 26;9(12):e115658. doi: 10.1371/journal.pone.0115658

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© 2014 Murata et al

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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The period, κ, was determined to equal 1.17 by scanning from 0.5 to 5.0 at 0.01 intervals to maximize the observed frequency of the decimal fraction of M/κ in the interval . Inset: ratios of observed decimal fractions (error bars indicate standard errors of means (SEM)). The ratio in the quarter interval centered at 0 was significantly larger than those at 0.25, 0.5, and 0.75 (paired, one-tailed z test for two population proportions [57], n = 90, *, **).

Inline graphic — The period, κ, was determined to equal 1.17 by scanning from 0.5 to 5.0 at 0.01 intervals to maximize the observed frequency of the decimal fraction of M/κ in the interval . Inset: ratios of observed decimal fractions (error bars indicate standard errors of means (SEM)). The ratio in the quarter interval centered at 0 was significantly larger than those at 0.25, 0.5, and 0.75 (paired, one-tailed z test for two population proportions [57], n = 90, *, **).