A common approach starts with more pieces than one expects to be necessary, and constrains the changes in slope among adjacent segments to be not too large, as in smoothing or penalized splines (Eilers and Marx 1996).
Further examinations are necessary to constrain the mantle wedge structure.
Therefore, it is necessary to constrain the initial fitted porosity.
However, when the ambition is to develop a tool that can be applied in real-life conditions, it is necessary to constrain the problem.
Also, it is not necessary to constrain the conductivity tensor to be positive definite to obtain the basic results of the theory of thermoelasticity of microstretch materials.
It is shown that comparisons with both observed energy and carbon fluxes are necessary to constrain model behavior and test its performance adequately.
We provide bounds on the minimum possible error of any unbiased photoclinometric surface slope estimate, and compute the sample sizes necessary to constrain errors within desired design thresholds.
A new report from the UN Environment Programme (Unep) concludes there is a significant gap between what science says is necessary to constrain temperature rise and what governments have pledged to achieve.
More measurements in Bolivia would be necessary to constrain those potential geothermal resources.The most prominent conductor in this part of the Central Andes runs along the Precordillera and is most likely associated with the West Fissure Fault System (Figure6c, (F) and (G)).
Finally, we underscore the importance of novel approaches for high-resolution blood-flow imaging, in the context of the need to gather information at fine spatial detail about the blood-flow response, necessary to constrain the multiple free parameters of hemodynamic response models.
