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This higher level in the hierarchy of order for three-dimensional grids, which when attained would provide a completely regular tiling of the volume, does not have a correspondence in the two-dimensional case.
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Realists differ over which niches in this proposed hierarchy of orders are occupied.
Silk fibers are composed of a structural hierarchy of ordered β-sheet crystallites embedded in a less organized matrix.
This leads to an interesting theoretical question for future analysis: does the hierarchy of exact order-by-order models suggested in Sharkey (2011) exist, and if so, what form should the closure approximations take at each level?
In a zone where there was no police or real hierarchy of public order, everyone seemed to get by.
A hierarchy of higher order continua is presented that introduces additional degrees of freedom accounting for volume changes, rotation and straining of an underlying microstructure.
This range or hierarchy of spatial order in cortical maps is confirmed by the analysis of global spatial organization through spatial autocorrelation and can now be quantified (e.g., Geary's C) and compared across different areas and modalities.
Since the first proposal of the solenoid model of nucleosome packing [ 51], it has been generally assumed that mitotic chromosomes consist of a hierarchy of higher order packaged chromatin fibers.
They need not preserve the distinction between dependent, and independent variables, the order of derivatives and the hierarchy of finite-order jet spaces.
Embedded within these very broad goals are a hierarchy of lower-order, more concrete goals which specify, in increasing detail, the actions which need to be taken in order to move forward in valued directions.
A hierarchy of high-order regridding remapping schemes for use in generalized vertical coordinate ocean models is presented.
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