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We need additional assumptions on F near infinity.
The second category is model-based methods, who can achieve better results by modeling from the scattering and absorbtion, but usually need additional assumptions of imaging environment or imaging system, such as scene depth[5 7] or multiple images[8 11].
We recognize that the prohibitively high dimensionality of the data will still pose a problem (particularly if sample size is small), and, as we rely on the assumption of conditional independence in this paper, we may need additional assumptions in the disease network for a computationally feasible solution.
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However, the authors needed additional assumptions on this Carleman weight function, and the method that was developed is completely different with respect to the approach obtained in our paper.
The monotonicity of η 1 and η 3 is more complicated to show and we need some additional assumptions to derive a sufficient condition for monotonicity.
The non-linearity introduces the need for additional assumptions about the distribution of normal stresses along the slip surface, which translate into new parameters in the limit analysis optimization problem.
Least squares support vector machines (LS-SVM) are capable of approximating the limited state function without the need for additional assumptions regarding the function form, in comparison to traditional polynomial response surfaces.
This avoids the need for additional assumptions, for example, having to specify the stimulus reduction (task performance efficiency) as a function of the number of active individuals working [8], [47].
Instead, they need some additional assumptions concerning the Hermite boundary data (3) and (4).
As correlation between health problems and smoke exposure is not trivial, the presented analyses are based on the excess cost approach, attempting to capture all the differences between the analysed groups of smoke exposure and minimising the need for additional assumptions.
(If our language isn't countable, then we would need the additional assumption that λ is at least as large as the size of our language).
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