Sentence examples for inhomogeneity distribution from inspiring English sources

This function depends both on the particle's geometry, expressing numerically the set of distances joining the volume elements within a particle, and on a particle's inner inhomogeneity distribution.

The Raman image of the integrated intensity of the E 2 high mode in the region from 415 to 450 cm−1 shown in Fig. 8b clearly reveals inhomogeneity distribution intensity over the entire nanorod.

The significance of the influences of inhomogeneity distribution parameters on the inverse volumetric stress integral is quantified and the corresponding data are fitted into selected several formulas as a step towards understanding the rolling contact fatigue life of the materials.

The TEM micrograph in Figure 5 showed that the nanoparticles were distributed homogeneously with higher density in the periplasmic space and cytoderm with the longer standing time (Figure 5a,c), while in Figure 5b,d, the palladium particles demonstrated with the properties of uneven size and inhomogeneity distribution.

Assuming that l (characteristic size of the inhomogeneity of external stress field distribution) is smaller than the wavelength and geological structure sizes, we consider processes in geomaterial at two scales: macroscale characterized by L and λ and microscale characterized by sizes of inhomogeneous distribution of external stress field.

For uniform and low inhomogeneity source distributions, the algorithm could obtain a unique solution corresponding to a global minimum for the objective function.

Therefore, shrinking the permissible region reduces the possible solutions, and if the permissible region equals the actual source size, a unique solution can be obtained for uniform and low inhomogeneity source distributions as shown in Figs. 3, 5, and 7.

However, for high inhomogeneity source distributions, the solution is still not unique and different size and magnitude sources that have the same total power can generate the same light fluence rate at the object boundary.

However, for high inhomogeneity source distributions as in Figs. 6 and 8, the solution is still not unique and different size and magnitude sources that have the same total power can generate the same light fluence rate at the object boundary.

However, when decreasing alpha to 0.01 or less, the ripple remains within a few percent, which is sufficient, especially when comparing this value to other sources of fluctuations of the irradiation such as local absorption changes by tissue inhomogeneities, bleeding, or inhomogeneities of the distribution of the photosensitizer.

We further distinguished the above-mentioned inhomogeneity between statistical distribution and random failure.