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The first term yields a contribution b 1 g to the expected regression coefficient.
Alternatively, integrating out the nuisance parameters using a strong prior, P({π k }) ∝∏ k π k ν with pseudocount ν≫ V, yields a contribution that is independent of { n k }.
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Property (iii) follows from the slow fast nature of the global return mechanism: the divergence integral computation is dominated by the passages along the slow branches (S_{a}^{pm}), which are both attracting and yield a contribution of the order (-K/varepsilon ), for some (K>0), while the fast parts and the parts near the folds yield an (O(1)) contribution.
Furthermore, the unbound states yield a contribution which approaches the free three-dimensional density of states ϱd = 3(E) in the limit κ → 0. The density of states in the quantum well region is displayed for binding energy B = ℏ2κ2/2m = 1 eV, mass m = m e = 511 keV/c2, and different energy ranges in Figures4 and5.
In the period 1995-2005, biological N fixation was the largest source of DIN yields, with a contribution ranging from 69.6 % to 74.7%%.
The high-energy intra-molecular phonon yields a large contribution to the resistivity.
PCL yields a dominant contribution to the elastic response and confer a higher ability to absorb energy before rupture, but also the protein/plasticiser ratio must be considered.
For as long as L≤ 2λD one has unsaturated behavior Once saturation is reached for L > 2λD the peak-to-peak voltage is pinned at Vs, independent of L. This is because when L > 2λD the polarization field is screened-out from the QW interior length L− 2λD that yields a negligible contribution to the voltage difference; Vs comes entirely from two charged layers of width λD.
We performed analysis of variance (ANOVA) and analysis of covariance (ANCOVA) to examine which of the aforementioned predictor variables yield a significant contribution to the perceived extent to which MPH contributed to a change in leadership, technical position, employer, and/or increase in remuneration.
"The F12 Berlinetta is already in high demand, and we expect the auction to yield a significant contribution to storm relief," Mr. Mattiacci said.
Gaps yield a negative contribution to the alignment score and are usually modeled by a gap-length l depending score function g (l).
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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