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An extension to three dimensions is implemented using a dimension by dimension approach.
Also, we use a fractal dimension approach to characterize the error of the estimation of the recourse function based on sampling.
Early attempts were made by Wyss et al. (2004) who used the RTL-algorithm and Z-value methods and by Enescu and Ito (2001) who used the b-value and Z-value methods, and a fractal dimension approach.
Similarly, R is affected by the depth and fine root dimension approach utilized.
With the assumption that common genetic signals obtained from different methodological platforms might serve as robust AD risk markers than candidates identified using single dimension approach, here we demonstrated an integrated genomic convergence approach for disease candidate gene prioritization from heterogeneous data sources linked to AD.
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Beetle movement tended to be more linear (pathway fractal dimension approached 1) on prairie dog habitats and more sinuous on adjacent grasslands.
Contraction of the chains became more gradual, and eventually the longitudinal component of the chain dimension approached that of the unconfined chains with the overall chain dimension being smaller than that of the unconfined chains.
This difference is likely due to the fact that the items measuring this dimension approached it from a variety of angles.
Small-scale electrodes, with a critical dimension approaching that of the diffuse layer (radius of <∼25 μm) offer advantages such as fast mass transfer, small RC time constants, and low ohmic drops all of which provide exceptional spatiotemporal resolution over macroscale electrodes.
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.
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