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These errors occur rarely if the slope of the true phase is positive.
Errors multiple of - 2π (resp. 2π) are more frequent if the slope of the true phase is positive (resp. negative).
It is our strong suspicion that this would be a true phase transition in the limit of infinite chain length.
We can see that φ ̃ k is almost continuous with a phase offset almost constant with respect to the true phase.
Table 1 Mean square error between true phase error and estimated error PGA Eigenvector Weighted eigenvector Unevenly SA 0.2431 0.0437 0.0437 Block SA 0.1928 0.1928 0.1928.
Note that (19) incorporates the true phase instead of the approximate model (4), so that our performance analysis will take the modeling error into account.
Similar(32)
The months are alternately 30 and 29 days long except for the 12th, Dhū al-Ḥijjah, the length of which is varied in a 30-year cycle intended to keep the calendar in step with the true phases of the moon.
Figure3c is obtained by setting all elements which are greater than 0.3 in Figure3b to 0. The range of true phases in Figure3c is [0,π/2].
However, although calculating true phases, Raschke also focused solely on m:1 phase and frequency coordination.
A more sensible metric, therefore, would take into account the percentage of such SNPs where the inference differs from the true phasing.
For Whait, we used all SNPs with true phasing (in other words, we assumed that the imputation and phasing are perfect for Whait) and tried different window sizes to define haplotypes and picked the best window size to report power.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com