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The form of this polynomial is ρ i (F (L (K i ) ) ) = ∑ S ⊆ K i β S z S. In this representation, z S corresponds to the case where K i is S-reachable from K0 (i.e., the original source node), and the coefficient β S is the probability of observing that case.
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It is observed that case depth has influence in fatigue properties of carburized steels.
It is observed that case LD (direct line drive pattern) gives the highest cumulative production for all scenarios analyzed.
It is observed that case LD (the direct –line drive pattern) and case SLD (the staggered line drive pattern) have similar water-cut trends which are higher than that of the five-spot waterflood pattern.
Added in proof: Will Sawin observed that case i) does not occur for varieties of general type, since for these, by a result of Popa and Schnell, holomorphic 1- forms always have zeros.
See Appendix B. Remark 3. By substituting the appropriate parameters for for each scheme into (30), we observe that Case 2 does not ever materialize for schemes I, II, III.
Additionally, we observed that case mothers were hypermethylated in the majority of loci (379 sites, 89.2%) compared to hypomethylated loci (46 sites, 10.8%).
In spite of the fact that IL-12 signals did not play a crucial role in proliferation of tgd057-specific CD8+ T cells in the spleen, we observed that case to be different at the site of infection.
We observed that cases with HPS were approximately three times more likely to carry the variant (15.6%) compared to controls (5.3%), and this difference was statistically significant (p = 0.01).
It can be observed that cases of premature birth presented pH scores generally higher than 4.5.
It was consistently observed that cases of genes in the same operon were disconnected from the same regulator or group of regulators after POBN optimization.
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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