Sentence examples for and higher order in the from inspiring English sources

The scheme is provably second-order accurate in regions requiring positivity enforcement and higher order in the rest of domain.

Here it should be noted that the solvability of the boundary value problems for operator-differential equations of fourth and higher orders in case where the coefficients in the boundary conditions are only complex numbers has been extensively studied in [20 34].

Cations and anions of higher order in the series (e.g., Ca2+ and SCN−) could reduce the energy required to transfer the non-polar groups into water.

It is noted that Lsm value of any stream order is greater than that of the lower order and less than that of its next higher order in the basin.

It is noted that Lsm of any given order is greater than that of the lower order and less than that of its next higher order in the basin.

In pollen tubes, the accumulation of sterols and higher order membrane in the apical PM and in clear zone vesicles suggest that membrane microdomains play a role in cell polarisation.

In contrast to previous analytical results, the present model is applicable in the general case where cubic and higher order terms in the axial acoustic velocity become important and to examine the influence of a non-vanishing radial velocity term.

Clearly, our understanding of the true biochemistry and presence of Aβ monomers, dimers and higher order oligomers in the human brain in vivo is limited.

where denotes the second and higher order terms in the Taylor series expansion.

Layer-wise and equivalent single-layer models (including zig-zag theories) are used with linear and higher order expansion in the thickness layer/shell direction for the displacement variables.

On the other hand, the dimers and higher order multimers present in the Maillard-treated parvalbumin stain intensely on the IgE-immunoblot and are more visible than on the SDS-PAGE and 4).