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When the dimensions approach nanometer-length scales, atomistic treatments using first principles or semi-empirical methods may become necessary [24].
The focusing capabilities of conventional, dielectric-based MLAs, however, deteriorate as their physical dimensions approach the wavelength.
A stagnation of normal grain growth resulting in a logarithmic normal size distribution is observed once the average grain dimensions approach the film thickness.
The most extensive research of scaled electronic devices involves the inclusion of quantum effects in the transport direction as transistor dimensions approach nanometer scales.
It then explains a framework developed to analyze shifts in teachers' LSK along three dimensions: approach to narrative, levels of language awareness and assessment stance.
In [19] and [20], the channel rank detection and channel estimation problem were considered jointly for the asymptotic case, where the channel matrix dimensions approach to infinity but with a fixed ratio.
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As a much simpler and cheaper scale methodology, LIL is based on the interference of several coherent laser beams and can produce one-dimensional (1D), two-dimensional (2D), and 3D periodic structures with feature dimensions approaching 20 nm [21].
The distribution of longest dimensions approaches zero with a concave slope and a Dmax of 43 Å.
Even when using the PBI, which is based on parenting concepts approaching a trait level of aggregation, and assessing parenting over a relatively short time-span of nine months, none of the three parenting dimensions approached the stability level of personality traits.
These data suggest that the differences seen in basal HRQOL (lower in patients with a history of AF) maintained and formed a component of the scores obtained at one year after CTI catheter ablation (smaller improvement in patients experiencing AF during follow-up), thus accounting for the differences seen at one year in most of dimensions approaching or reaching significance.
An extension to three dimensions is implemented using a dimension by dimension approach.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com