Sentence examples for local periodicity from inspiring English sources
Such multilayer structures originate a new type of Fabry-Perot cavity where the reflectors are replaced by nonpropagating regions associated with the local periodicity of the structure.
Assuming local periodicity, heterogeneous microstructure is identified by a representative volume element that is subjected to an equivalent macroscopic deformation field.
Based on the symmetrical planes of the microstructure and local periodicity, it is shown that the analysis of one-quarter of three-dimensional representative volume element is enough to evaluate the effective shear response at finite deformation.
Generally, these are well-determined local periodicity fragments of the group representative.
Envi can thus take three values: 1.0, 0.0, 0.0, describing the local periodicity.
After having been purposely blurred and contrasted, the blown-up raw HRTEM images (lower insets in Figs. 4 ▶ a– d) show linear patterns of bright and weaker dots running along b that mark local periodicities in that direction and from which we can draw local unit cells (lower insets in Figs. 4 ▶ a– d).
To illustrate the importance of our theory, first we introduce new concepts - 'local-almost periodic functions' and 'local-almost automorphic functions' on time scales, and then we use the properties of changing-periodic time scales to establish the local-almost periodicity and local-almost automorphy of solutions of dynamic equations.
Finally, we shall apply these results to address local-almost periodicity and local-almost automorphy of solutions of dynamic equations on arbitrary time scales with bounded graininess function μ.
In Section 3, as applications of changing-periodic time scales, first we shall introduce two new concepts - local-almost periodic and local-almost automorphic functions, and then we show that these concepts can be used as a powerful tool to investigate the local-almost periodicity and local-almost automorphy of solutions of dynamic equations on time scales.
Thus, by the definition and the property of (S_{tau_{t}}), we can obtain the local almost periodicity on the periodic sub-timescale (mathbb{T}_{tau_{t}}) from Definition 3.1 (see Figure 5).
The Ørsted residuals appear to exhibit an additional 800 day local time periodicity.
