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Using the hypergeometric distribution analysis, we calculated the probability that the proportion of SUMO substrates mapped to a given category could occur by random chance, given the fraction of all fly proteins that map to that category (Table S4, S5).
Since the removal of sequencing artifacts revealed that the sampling of sequences followed the Poisson distribution, we could estimate the total number of sequence tags (i.e the depth of sequencing) required to detect over- or under- representation of any chromosome at certain level of confidence given the fraction of fetal DNA in the maternal plasma sample (Figure 4).
This test computes the probability that the fraction of sequences in the first set matching the motif would be as great as observed (or greater), given the fraction of matching sequences in the second set.
However, the observed number of hits on chicken macro-, micro- and sex chromosomes was nonetheless significantly different than their expected frequencies given the fraction of the genome taken up by these chromosomal classes (all tests df = 2; Alligator χ2 = 6827; Turtle χ2 = 15080; Emu χ2 = 28717; all P < 0.00001).
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The Machlin Women's Swiss Teams resulted in a tie, which was very surprising given the fractions of victory points generated by the carryover formula into the final day.
Given the fractions of conserved and lineage-specific genes in modern archaeal genomes, this translates into approximately 2,500 genes in the ancestral genome, which is a larger genome than most of the extant archaea possess (Fig. 1).
In this equation the coefficient a is a constant indicating the amount that households will spend on consumption independently of the level of income received in the current period, and the coefficient b gives the fraction of each dollar of income that will be spent on consumption goods.
In such a case, the respective value gives the fraction of the element that remained in the sample.
The false positive rate give the fraction of cells without earthquakes that are incorrectly preceded by an alarm.
The parameter dUin/dWin, giving the fraction of the inelastic deformation work Win stored as the internal energy was measured as a function of strain.
Figures 7 and 8 plot the achievable rates as a function of which gives the fraction of total time/bandwidth allocated to the relay.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com