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It is proven, as well, that these bounds lie within the Voigt and Reuss bounds.
Since the CM VaR bounds lie on the safe side, there is no doubt that the use of the CM VaR bounds is herewith justified.
To evaluate where these empirical bounds lie with respect to the optimal bounds, we found the closest point (along contours of equal reward rate) on this line for the empirical bounds.
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It is proved that each of these operators is bounded, lies in the Cowen Douglas class of D and is irreducible.
Then, we applied a rotation matrix to the entire step pair trace so that both bound states lie along the horizontal axis.
Based on the lower-bounds and the best feasible solution found so far (the "incumbent") the created boxes are either further split or discarded if the lower-bound lies above the upper bound, cf. Line 8.
Superposition of our free SRP19 structure on the RNA-bound SRP19 structures reveals that the difference between free SRP19 and the RNA-bound forms lies exclusively in the conformation of the L2 loop region.
Once considered politically out of bounds, the word "lie" — stated bluntly and unapologetically — has had its unveiling in the 2008 campaign.
The primary merit of the upper bound model lies in its simplicity (a closed-form equation).
This led to the conclusion that the fate of DegP-bound substrates lies in their ability to adopt their native structure within the cavity, as only unfolded substrates can be degraded [111].
RRMs are highly versatile in their mode of RNA recognition: in canonical RRM RNA interactions, the bound RNA lies across the β-sheet and contacts one or more key residues in the conserved RNP-1 and RNP-2 motifs; however, the amount of the β-sheet surface directly contacting the RNA varies considerably [ 12].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com