Sentence examples for with respect to the diffusion from inspiring English sources

The resulting fully discrete scheme is uniformly convergent with respect to the diffusion parameter.

These types of magnetic resonance imaging (MRI images record directional information with respect to the diffusion of water molecules.

They were then requested to score their named connections' impact and the relevance with respect to the diffusion of information and the implementation of ESD.

It was shown that the averaging method based on the arithmetic mean with respect to the diffusion coefficients provides the satisfactory results in comparison to other techniques.

The diffusion boundary layer ahead of the solid/liquid interface is analysed with respect to the diffusion process and structure formation, both controlled by external gas pressure, solidification velocity and gas fluxes between solid, liquid and pores.

Lafon and Lee [57] studied the quantization of the corresponding Markov chain and graph, aiming to derive a computational approach for recovering the stable meta-states and showed that the optimal quantization with respect to the diffusion distance as in (9) is given by the centroids computed by the K-means quantization scheme with an Euclidean distance metric, in the diffusion domain.

Figure 13 summarizes the relationships among supersaturation, temperature oversteps, and the critical grain diameter for diffusional instability with respect to the diffusion-controlled growth of garnet porphyroblasts in the Tsukuba metamorphic rocks.

The concentrations of I2 and LiI in the liquid electrolyte are first optimized with respect to the diffusion-limited current density of I3− ions and the photovoltaic performance of DSSC.

It is proposed that the addition of yttria lowers the grain boundary diffusion rate with respect to the surface diffusion and hence lowers the shrinkage anisotropy in accordance with the simulation model.

Sectors were classified according to the highest aggregate impact on production and with respect to the widest diffusion of resources.

Our results also imply a new Liouville theorem for space time bounded harmonic functions with respect to the underlying diffusion semigroup.