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(x) Conceptual and analytical simplifications of the theory may remove unimportant or difficult to observe refinements that prevent comparison with experiments, in order to define parameters and signatures outlined in items v ix.
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We observed refinement in reporting styles of nuclear medicine physicians over time, with greater recognition of phenomena such as the characteristic appearance of rebound lymphoid hyperplasia in recent compared with earlier reports, but our analyses are based on the actual report generated at the time of the scan.
However, continuous density for the factor could only be observed in refinements of appropriately grouped particles, described below.
The experimentally observed β refinement by primary TiB2 agrees with the model predictions.
Electron Backscatter Diffraction (EBSD) observed grain refinement during the layer deposition in the AFS specimens, where the results identified fine equiaxed grain structures with even finer grain structures forming at the layer interfaces.
In theoretical coding, the codes were further combined to bring more refinement, observe conceptual density, and unravel the framework.
We can observe that partition refinement reduces the variance of the number of rollback events across the processors as seen from Figure 10 when the interval is 20000 clock ticks as compared to Figure 9 when the interval is 100000 clock ticks.
For adaptive mesh-refinement, we observe the optimal order of convergence α = 1 / 2 for err ℓ (u ) and ϱ ℓ (u ).
In our numerical experiments, we empirically observe that adaptive mesh-refinement leads to the optimal order of convergence in each component of the error of the Galerkin solution U ℓ = (U ℓ, Φ ℓ ) ∈ X ℓ, i.e. ∥ u − U ℓ ∥ H 1 = O (N − 1 / 2 ) and ∥ ϕ − Φ ℓ ∥ H − 1 / 2 = O (N − 3 / 4 ), which is observed for all adaptive strategies in Figs. 3 5.
At 15 PCW, a similar expression pattern was observed with some refinements (Fig. 4 B ). SATB2 remained strongly expressed by cortical neurons located in the upper CP (Layer V, Fig. 4 B ). Layer VI neurons continued to express TBR1 and NURR1, however, a subset of NURR1-expressing cells were observed in the GAP43-positive SP (Wang et al. 2010).
Alternatively, the specificity of axonal branching might be the result of initial excessive outgrowth and exuberant branch formation during development followed by a refinement process to eliminate the majority of branches, as in refinement observed in mammalian visual map formation (Feldheim and O'Leary, 2010), for example.
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