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The need for these estimates arises when one tries to establish solvability conditions for the boundary value problem (2.1), (2.2) using only the properties of its operator coefficients.
Part of the variance in estimates arises from differences in diagnostic criteria.
We suspect the main cause of difference in our estimates arises from the way survival gain is expressed.
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Interestingly, in spite of residual errors on the estimates (arising from the use of finite estimation intervals), the reset mechanism employed in the hybrid external model ensures asymptotic regulation, instead of practical regulation.
Separate temporal and spatial error estimates arise from projection of the adjoint to semi-refined spaces.
Hydromorphone was only modestly more potent (less than two-fold) than either hydrocodone or oxycodone, which is inconsistent with prior estimates arising from analgesic studies.
An alternate view is to consider the estimates arising from the sigma-point approach as a weighted statistical linearization of the nonlinear dynamics: (16).
Large uncertainties in emission estimates arise from inadequate data on the biomass density of forests and the regional rates of deforestation [1, 4].
GBD2010 described distinct ictal and interictal health states associated with both migraine and TTH, and allocated disability weights (DWs) to each, but the interictal DWs and burden estimates arising from them were not reported [1], probably for this reason.
At any sample point, multiple mask estimates arising from the several previous samples are present and the maximum of them is chosen as the mask in dB SPL at that point.
From a Bayesian perspective, however, these network parameters can be random variables that reflect uncertainty in parameter estimates, arising because the parameters are learned from data, or because they are elicited from uncertain experts.
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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