Sentence examples for framework of assumption from inspiring English sources
(iii) Furthermore, under the non-degeneracy assumption begin{aligned} sum _{1le kle m} |partial _{x_2}^k W|asymp 1 end{aligned} (5.25) (in the framework of assumption (5.22)), one can take (delta =0) in (5.23). .
Furthermore, under the non-degeneracy assumption begin{aligned} sum _{1le kle m} |partial _{x_2}^k W|asymp 1 end{aligned} (5.25) (in the framework of assumption (5.22)), one can take (delta =0) in (5.23).
On one of these fieldwork trips, he dashed off a classic article that tore into the framework of assumptions underpinning the work on the affluent worker by John Goldthorpe and colleagues at Cambridge.
Historiography becomes itself historical when we recognize that these frameworks of assumptions about historical knowledge and reasoning change over time.
Note that our results are qualitatively similar to those obtained by other authors in the framework of physical assumptions that significantly differ from ours [8, 34, 35].
Fitting of experimental data in the framework of these assumptions suggested a set of metabolic fluxes underlying the measured distributions of isotopic isomers.
With that caveat, however, and within the framework of their assumptions, their conclusion is completely reasonable and consistent with our findings: the animals are not representing location through abstract visual representations of the geometry of the environment but from what Gothard et al. interpret as "self-motion cues" and what we interpret as a topological experiential framework.
Since the element is formulated within the framework of large curvature assumption, cables with large sag, as encountered in long-span cable-stayed bridges and suspension bridges, can be modeled accurately.
This was finally resolved in 1850 by the Prussian physicist Gustav Robert Kirchhoff, who applied virtual work and variational calculus procedures in the framework of simplifying kinematic assumptions that fibres initially perpendicular to the plate's middle surface remain so after deformation of that surface.
That is why, in order to derive optimality conditions in the framework of more appropriate assumptions, we provide in Section 6 the analysis of the well-posedness of variational problem (1.5) and describe the asymptotic behavior of its solutions as parameter θ tends to zero.
