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Adolf Lindenbaum showed that Ł$_n$ is contained in Ł$_m$$$(n \lt m)$ if and only if $n - 1$ is a divisor of $m - 1$, so if neither divides the other their respective tautologies properly overlap but neither set is contained in the other.
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When well-made and properly imbricated (overlapped), there was little need for further waterproofing or sealant.
Third, peak calling do not properly resolve overlapping nucleosomes.
Unless the sources of the noise and the antinoise coincide, the wave patterns will not overlap properly and the effect will be lost.
We demonstrated with a synthetic example that the current state-of-the-art method does not properly handle complex overlapping configurations.
The four scatter plots indicate that three out of the four probe chemistries work perfectly well and produce well separable (informative) clusters corresponding to the three genotype classes (AA, AG and GG), whereas one probe chemistry, namely APEX.LEFT, fails to work properly and gives overlapping clusters for AG and GG genotype classes [plot (3) in Fig. 3].
Check to see that the pieces are overlapping properly and are not too spread out.
Genes with other values of topological overlap, if properly justified, can also be considered.
As for PPV value (PPV ), it does not evaluate overlapping clusters properly.
We propose this new definition is due to the fact that the original definition cannot evaluate overlapping clusters properly as reported by Li et al. (2010).
Thus, failure to overlap the images properly hinders the establishment of a good 3D point cloud model with a high score of registration success.
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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