Sentence examples for spaces as described from inspiring English sources

In order to derive error estimates, we assume the regularity (uin(H^{2}(Omega_{f}))^{d}times H^{2}(Omega_{p})) and (pin H^{1}(Omega_{f})), and the finite element spaces as described above of first-order approximation (mathcal{O}(h)) are used for the fluid and porous media regions.

Given that sex workers commonly face extreme harassment and violence in both living and work spaces – as described above – the creation of 'safe spaces', in the form of drop-in centres and clinics, have become favoured interventions.

These distribution functions are plotted in "band energy" space rather than momentum space as described in this reference work.

Two combined atmospheric reanalysis/observational global ocean E-P-R datasets are included in the present study to assess the climatological mean global freshwater cycle in salinity space as described in Zika et al.17.17

Let ((X, d, preceq)) be a partially ordered hyperbolic metric space as described above.

The proposed GCR is implemented via a grid search, as stated earlier, on a restricted search space as described next.

Poly3D solves for angular dislocation in an elastic half-space as described by Comninou and Dundurs (1975).

The inter-agent range measurements are used to condition the state space as described in subsection 4.3.

We also give the signification of ((k_{2},k_{1}))-summability for power series in a Banach space, as described in [2].

The variation in the local employment environment over time and across space, as described above, has created different local opportunity structures in which individuals' upward mobility channels vary.

At each dead reckoning update, the range constraint is imposed on the state space as described in subsection 4.2, and the corrections are sent back to the agent.