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Critical fragments corresponding uniquely to negative terms in (14) are important for the existence of instabilities as it is explained next.
Thus they fail to reproduce a realistic label distribution, since a uniform labeling value would result in sharp peaks each corresponding uniquely to a certain number of undergone divisions.
Therefore a critical fragment S r i 1, …, i r j 1, …, j r of order r, corresponding uniquely to a negative term in (14) for k= r, is required for a saddle-node bifurcation, and thus for multistability [ 3, 22].
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The accuracy for EIN is below 100% (99.2%), because of two assignment errors: residues 207 and 208 are interchanged for their corresponding uniquely assigned peaks.
Post-GR, the corresponding uniquely detected genes in the two groups were 1,157 and 753, respectively (Additional file 1: Figure S4).
This (i) links every file to a specific process and (ii) allows for shorter filenames because all necessary meta-information is stored in the corresponding, uniquely identifiable analysis and process metadata files.
This implied the necessity that the responses to the questions within the hypothesized domains each correlated uniquely to corresponding factors, i.e. QoL dimensions.
We prove that if any state corresponding to a minimal idempotent point extends uniquely to the von Neumann algebra of the group, then every state extends uniquely to the von Neumann algebra of the group.
For example 26 reads in SCZ case 5S and 17 reads in SCZ case 5 aligned uniquely to DOCK3 intronic sequences corresponding to nucleotides 5,130,7158 51307328 on Chromosome 3 (data not shown).
In the case of paired end reads, if one of the members of the pair can be aligned uniquely to a certain position, the corresponding mate can sometimes be rescued if it is a multi-map.
In each plot, probes are partitioned into two groups those probes which match uniquely to the target transcript and those probes which match to the corresponding off-target.
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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