Realists differ over which niches in this proposed hierarchy of orders are occupied.
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.
A panel of eight subject-matter experts composed a hierarchy of three ordered competency levels (see Table 1).
That's because, despite the illusion of ordered non-hierarchy, some people have vastly more power than others, and in many cases have had it for centuries.
The passage he cites from the Politics is concerned only with the rudiments of hierarchy; the idea of "ordering of things to one end" is present only by implication, and Aristotle makes no attempt to develop its metaphysical implications.
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?
Flexing his muscle with the military hierarchy, Kim ordered dozens of public executions to punish what he labeled corruption and dissent.
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.
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.
